Monday

September 26, 2016
Number of results: 2,341

**Trigonometry**

Find the exact value of tan(a-b) sin a = 4/5, -3pi/2<a<-pi; tan b = -sqrt2, pi/2<b<pi identity used is: tan(a-b)=(tan a-tan b)/1+tan a tan b simplify answer using radicals. (a is alpha, b is beta)

*November 8, 2010 by Dee*

**Trig - tan 15 using composite argument?**

tan 15 tan (45-30) (tan 45 - tan 30)/1+ tan 45tan30 (1-√3/3)/(1+1√3/3) then i donnt what to do/ chancel out. Can someone finish it if i didnt get it wrong. thanks in advance

*November 12, 2008 by Anonymous*

**Math-Trigonometry**

Show that if A, B, and C are the angles of an acute triangle, then tan A + tan B + tan C = tan A tan B tan C. I tried drawing perpendiculars and stuff but it doesn't seem to work? For me, the trig identities don't seem to plug in as well. Help is appreciated, thanks.

*November 6, 2013 by Sam*

**Trig.**

sec^2xcotx-cotx=tanx (1/cos)^2 times (1/tan)-(1/tan)=tan (1/cos^2) times (-2/tan)=tan (-2/cos^2tan)times tan=tan(tan) sq. root of (-2/cos^2)= sq. root of (tan^2) sq. root of (2i)/cos=tan I'm not sure if I did this right. If I didn't, can you show me the correct steps? Thanks, ...

*January 9, 2010 by Trig*

**calculus**

can anyone tell me if tan-1x= 1 over tan x? No. They are different. tan^-1 (x) is a frequently used way of writing arctan x, which means the angle whose tangent is x. tan (tan^-1 x) = x

*February 11, 2007 by Elizabeth*

**Integration**

Intergrate sec^3(x) dx could anybody please check this answer. are the steps correct? thanks. = sec x d tan x = sec x tan x - tan x d sec x = sec x tan x - sec x tan^2(x) dx = sec x tan x + sec x dx - sec^3(x) dx = sec x tan x + ln |sec x + tan x| - sec^3(...

*October 15, 2006 by Vidal*

**trig**

h t t p : / / i m g 4 0 . i m a g e s h a c k . u s / c o n t e n t . p h p ? p a g e = d o n e& l = i m g 4 0 / 1 4 8 / a s d a s d y e . j p g & v i a = m u p l o a d (def of tan theta = a^-1 o)a = o opposite = adjacent tan theta written with respect to the first angle ...

*September 6, 2009 by trig*

**calculus**

If limit as delta x approaches 0 of tan(0+Δx)-tan(0)/Δx =1 which of the following is false: d/dx [tanx]=1 the slope of y = tan(x) at x = 0 is 1 y = tan(x) is continuous at x = 0 y = tan(x) is differentiable at x = 0

*February 6, 2014 by lisa*

**precalculus**

For each of the following determine whether or not it is an identity and prove your result. a. cos(x)sec(x)-sin^2(x)=cos^2(x) b. tan(x+(pi/4))= (tan(x)+1)/(1-tan(x)) c. (cos(x+y))/(cos(x-y))= (1-tan(x)tan(y))/(1+tan(x)tan(y)) d. (tan(x)+sin(x))/(1+cos(x))=tan(x) e. (sin(x-y...

*April 14, 2013 by anonymous*

**calculus **

So I am suppose to evaulate this problem y=tan^4(2x) and I am confused. my friend did this : 3 tan ^4 (2x) d sec^ 2x (2x)= 6 tan ^4 (2x) d sec^2 (2x) She says it's right but what confuses me is she deriving the 4 and made it a three? I did the problem like this: tan^4 (2x)= 4 ...

*July 28, 2012 by Anonymous*

**Math- Precalculus**

Write the expression as the sine, cosine, tangent of an angle (in radians.) (tan(pi/5)-tan(pi/3))/(1+tan(pi/5)tan(pi/3))

*May 20, 2013 by Maddy*

**math 105 **

Prove that tan(A+B+C) =(tan A + tan B tan C - tanAtanBtanC) (1-tanAtanB-tanBtanC-tanAtanC)

*December 9, 2015 by Zebulon *

**math**

Write the given expression as the tangent of an angle. tan 7x − tan x/ 1 + tan 7x tan x

*July 11, 2016 by terry*

**PreCalculus**

Hi I need some assistance on this problem find the exact value do not use a calculator cot[(-5pi)/12] Here is my attempt RT = square root pi = 3.14... cot[(-5pi)/12]={tan[(-5pi)/12]}^-1={tan[(2pi)/12-(8pi)/12]}^-1={tan[pi/6-(2pi)/3]}^-1={(tan[pi/6]-tan[(2pi)/3])/(1+tan[pi/6]...

*January 29, 2010 by Kate*

**Maths Calculus Derivatives**

Find the first derivative for the following functions 1) f(x) = sin(cos^2x) cos(sin^3x) 2) f(x) = ( tan 2x - tan x ) / ( 1 + tan x tan 2x ) 3) f(x) = sin { tan ( sqrt x^3 + 6 ) } 4) f(x) = {sec^2(100x) - tan^2(100x)} / x

*October 22, 2011 by Yousef*

**Trig-Weird Geometry Problem**

Determine all triangles ABC for which tan(A-B)+tan(B-C)+tan(C-A)=0. There's a hint: "Can you relate A-B to B-C and C-A?" Should I apply the tangent difference formula (tan(x-y))? Help would be appreciated, thanks.

*December 5, 2013 by Sam*

**Maths- complex numbers**

Find tan(3 theta) in terms of tan theta Use the formula tan (a + b) = (tan a + tan b)/[1 - tan a tan b) in two steps. First, let a = b = theta and get a formula for tan (2 theta). tan (2 theta) = 2 tan theta/[(1 - tan theta)^2] Then write down the equation for tan (2 theta + ...

*February 13, 2007 by Jake*

**calculus (check my work please)**

Not sure if it is right, I have check with the answer in the book and a few integral calculators but they seem to get a different answer ∫ sec^3(x)tan^3(x) dx ∫ sec^3(x)tan(x)(sec^2(x)-1) dx ∫ tan(x)sec(x)[sec^4(x)-sec^2(x)] dx ∫ tan(x)sec(x)[(tan^2(x)+...

*June 7, 2012 by Jay*

**Pre-Cal**

Use an Addition or Subtraction Formula to write the expression as a trigonometric function of one number. (tan(74)-tan(14))/(1+tan(74)tan(14)) =__________ Find it's exact value (not decimal form) =__________ Note: A similar question(but with different degrees) had the ...

*July 7, 2016 by Amber*

**more trig.... how fun!!!!**

if you can't help me with my first question hopw you can help me with this one. sec(-x)/csc(-x)=tan(x) thanx to anyone who can help From the definition of the sec and csc functions, and the tan function, sec(-x)/csc(-x) = sin(-x)/cos(-x) = tan(-x) However, tan (x) does not ...

*November 6, 2006 by berhana*

**calculus**

I need help on finding the local linear approximation of tan 62 degree. i got 1.77859292096 can someone check if i got it right? tan(60+2) = (tan 60+ tan 2) / (1- tan60 tan 2) But tan2 appx = sin 2deg = sin2PI/180= 2PI/180 tan 62=(tan 60+2PI/180) / (1- tan60 2PI/180) check ...

*March 20, 2007 by jimmy*

**Trig**

Sum and diffence formula Finding Exact value of Tan 105-Tan 10)-15)/1+ tan(105)Tan(-15)

*December 9, 2013 by Jacob*

**Trig**

Given: cos u = 3/5; 0 < u < pi/2 cos v = 5/13; 3pi/2 < v < 2pi Find: sin (v + u) cos (v - u) tan (v + u) First compute or list the cosine and sine of both u and v. Then use the combination rules sin (v + u) = sin u cos v + cos v sin u. cos (v - u) = cos u cos v + ...

*December 29, 2006 by Nan*

**trig**

please help me. use trig. identities to find the exact value. tan 25 + tan 5 / 1- tan 25 tan 5

*April 30, 2010 by ann*

**trig**

please help me. use trig. identities to find the exact value. tan 25 + tan 5 / 1- tan 25 tan 5

*April 30, 2010 by ann*

**calculus**

find dy/dx y=ln (secx + tanx) Let u= secx + tan x dy/dx= 1/u * du/dx now, put the derivative of d secx/dx + dtanx/dx in. You may have some challenging algebra to simplify it. Use the chain rule. Let y(u) = ln u u(x) = sec x + tan x dy/dx = dy/du*du/dx dy/du = 1/u = 1/(sec x + ...

*March 9, 2007 by amy*

**Trigonometry**

Verify the identity algebraically. This problem is very intriguing and awesome at the same time. It's wonderfully amazing! 1.) TANα-1/TAN α-1= TANα + TAN α + 1

*February 17, 2013 by AwesomeGuy*

**Math **

Determine each tangent ratio to four decimal places using a calculator. A) tan 74 degrees B) tan 45 degrees C) tan 60 degrees D) tan 89 degrees How do I figure this out !?

*January 19, 2012 by Courtney*

**Trigonometry**

Hello, everyone: I am working on finding the exact values of angles that are less common and are therefor not found easily on the Unit Circle (at least, they are not labeled). For example, the problem I am asking about is: 10) Find the exact values of the Sine, Cosine and ...

*March 17, 2008 by Timothy*

**Math(Please help)**

1)tan 5 degrees + tan 25 degrees / 1 tan 5 degrees tan 25 degrees = sqrt 3 / 3 Am I correct? 2) Complete the identity tan^2Q - 3sinQtanQsecQ = -2tan^2Q Correct?

*March 10, 2010 by Hannah*

**Math(Please help)**

1)tan 5 degrees + tan 25 degrees / 1 tan 5 degrees tan 25 degrees = sqrt 3 / 3 Am I correct? 2) Complete the identity tan^2Q - 3sinQtanQsecQ = -2tan^2Q Correct?

*March 10, 2010 by Hannah*

**Pre-Cal**

1)tan 5 degrees + tan 25 degrees / 1 tan 5 degrees tan 25 degrees = sqrt 3 / 3 Am I correct? 2) Complete the identity tan^2Q - 3sinQtanQsecQ = -2tan^2Q Correct?

*March 10, 2010 by Hannah*

**trig**

Find the smallest positive value of x(in degree) for which tan(x+100)=tan(x+50)*tanx*tan(x-50)

*August 13, 2011 by SONU*

**Calculus**

Calculate the following integral: ∫ sec^4 (3x)/ tan^3 (3x) dx For this one, can I bring up the tan to tan^-3?

*September 13, 2012 by Robert*

**Calculus**

Evaluate the limit as h -> 0 of: [tan (pi/6 + h) - tan(pi/6)]/h I thought the answer was √3/3, or tan(pi/6, but apparently that is wrong, any tips here?

*November 11, 2007 by Anonymous*

**trig**

Use a sum or difference identity to find the exact value. tan 25deg + tan 5deg / 1-tan 25deg tan 5deg

*June 17, 2013 by tony*

**Trigonometry**

1.Solve tan^2x + tan x 1 = 0 for the principal value(s) to two decimal places. 6.Prove that tan y cos^2 y + sin^2y/sin y = cos y + sin y 10.Prove that 1+tanθ/1-tanθ = sec^2θ+2tanθ/1-tan^2θ 17.Prove that sin^2w-cos^2w/tan w sin w + cos w tan w = cos ...

*January 1, 2013 by Alonso*

**trig**

Given that tan 45=1, use tan(x+y) to show that tan 22.5= /2 - 1. (/is square root sign

*August 24, 2010 by Mimi*

**Calc**

y= cube root (1+tan(t)) OR y= (1+tan(t))^(1/3) The answer I got was y'= (1/3)(1+tan(t))^(-2/3)*(sec^2(t)) Is this correct?

*October 19, 2010 by Checking answer*

**calculus**

Find the exact value of the given expression. (tan17pi/12 - tan pi/4) / (1+tan 17pi/12 tan pi/4) can you help with this? i got the answer 1/ squareroot 3

*July 11, 2016 by megan*

**Trigonometry desperate help, clueless girl here **

2. solve cos 2x-3sin x cos 2x=0 for the principal values to two decimal places. 3. solve tan^2 + tan x-1= 0 for the principal values to two decimal places. 4. Prove that tan^2(x) -1 + cos^2(x) = tan^2(x) sin^2 (x). 5.Prove that tan(x) sin(x) + cos(x)= sec(x) 6.Prove that tan(x...

*August 16, 2013 by Suzy*

**Precalculus/Trig 5**

Find the exact value of thet following trigonometric functions: tan(5pi/6) tan(7pi/6) tan(11pi/6)

*October 8, 2012 by Greg*

**pre-calc help !!!!!!!**

1)tan^2x=3 ? 2)tan x sin^2x=tan x ? 3)2cosx sinx - cos x=0

*November 7, 2012 by Haley*

**Precalculus**

The directions are write the expression as the sine, coine, or tangent of an angle. (tan 25 degrees + tan 10 degrees) / [1 - [(tan 25 degrees)(tan 10 degrees)]]

*February 23, 2011 by Angela*

**Math**

Could someone explain the steps for this question. Simplify the expression tan(5pi/8)-tan(3pi/8)/1+tan(5pi/8)tan(3pi/8)

*January 24, 2012 by Jake*

**calculus**

a billboard 20ft tall is located on top of a building with its lower edge 60 ft above the level of a viewers eye. how far from a point directly below the sign should a viewer stand to maximize the angle (theta) between the lines of sight of the top and bottom of the billboard...

*November 6, 2011 by rachel*

**Pre Cal.**

Evaluate tan(cos^(-1)(3/2 )+tan^(-1)(3/3))? arccos(sqrt(3) / 2) = pi / 6 arctan(sqrt(3) / 3) = pi / 6 tan(pi / 6 + pi / 6) = tan(pi / 3) = sqrt(3).

*April 2, 2009 by Austin*

**Calculus : Derivative**

If tan^-1(x^2-y^2/x^2+y^2) = a, prove that dy/dx = x(1 - tan a)/y(1 + tan a) Please solve!!!

*June 15, 2011 by Akash*

**Trig Identities**

Proving identities: 1) 1+ 1/tan^2x = 1/sin^2x 2) 2sin^2 x-1 = sin^2x - cos^2x 3) 1/cosx - cosx = sin x tan x 4) sin x + tan x =tan x (1+cos x) 5) 1/1-sin^2x= 1+tan^2 x How in the world do I prove this...please help... I appreciateyour time thankyou soo much!!

*February 17, 2013 by Deepa*

**physics (speed of plane by radar)**

The radar stations A and B, separated by the distance a = 500 m, track the plane C by recording the angles α and β at 1-second intervals, If three successive readings are shown in the table,calculate the speed v of the plane and the climb angle y at t = 10 seconds as...

*November 11, 2012 by micheal*

**Pre Cal**

could someone please tell me what the other angle identity of tan is? Thank you much! "...other angle identity of tan x"? in relation to which "other" ? there are many identities dealing with the tangent. The most important is probably tan x = sin x/cos x The Pythagorean ...

*May 23, 2007 by Marie*

**math**

tan^-1a+tan^-1b+tan^-1c=pi,yhen prove that a+b+c=abc

*April 3, 2013 by hasee*

**trigonometry repost**

Reduce (csc^2 x - sec^2 X) to an expression containing only tan x. (is this correct?) csc x = 1/sin x sec x = 1/cos x tan x = 1/cot x sin^2 x + cos^2 x = 1 1 + cot^2 x = csc^2 x tan^2 x + 1 = sec^2 x csc^2 x - sec^2 x = 1 + cot^2 x - (1 + tan^2 x) = cot^2 x - tan^2 x = (1/tan^...

*February 1, 2011 by Anonymous*

**Calculus 2**

∫ tan^2 (x) sec^4 (x) dx ∫ [tan^2 (t) + tan^4 (t)] dt ∫ [1-tan^2 (x)] / [sec^2 (x)] dx Trigonometric integral Please show steps so I can understand!

*March 14, 2015 by Janice*

**Calculus**

Calc length of arc of y=ln(x) from x=1 to x=2 ---- So far: Definite Integral over x=(1,2) of sqrt(1 + 1/x) dx 1/x = tan^2 t x = 1/tan^2 t sqrt(1+1/x) = sqrt(1+tan^2 t) = sec t dx = -2 * tan^-3 t * sec^2 t dt Integrate over x=(1,2): sec^3 t / tan^3 t dt Integrate over x=(1,2): ...

*January 2, 2008 by mathstudent*

**Math**

Write an equation of the tangent function with period (3π)/8, phase shift -π/5, and vertical shift -2. a. y=tan((8x)/3 - (8π)/15) -2 b. y=tan((8x)/3 + (8π)/15) -2 c. y=tan((16x)/3 +(3π)/80) -2 d. y=tan((8x)/3 - (3π)/40) -2 I think it is A... or B?

*May 29, 2009 by sophie*

**Pre Calculus**

I keep trying to solve this by factring but I can't seem to get! It's so frustrating! The problem is 1+tan2x=0 This is how I worked the problem before: 1+((2tanx)/(1-tan^2x))=0 ((2tanx)/(1-tan^2x))= -1 Then I cross multiplied to get: -1 + tan^2x = 2 tanx Than I rearranged ...

*April 11, 2013 by Jen*

**trigonometry **

an example problem showed the following log tan A/2 = 9.54435 - 10 A= 38 deg 36' 12" Now i want to do the same. log tan A/2 = 9.85551 - 10 A= ?? I don't know how to convert tan into degrees can you help me.

*February 27, 2011 by Anon*

**Calc**

Let F(x, y, z) = z tan−1(y^2)i + z^3 ln(x^2 + 10)j + zk. Find the flux of F across S, the part of the paraboloid x^2 + y^2 + z = 19 that lies above the plane z = 3 and is oriented upward. Thanks! STudying for a quiz... *tan−1 is tan^(-1)

*November 10, 2013 by R*

**Math, Please Help!!!**

How can the right equation be converted into the answer on the left? (sec^4x)(tan^2x)=(tan^2x + tan^4x)sec^2x

*October 26, 2011 by Misty*

**Pre-Calc Help!!!**

Prove the identity. (show your work please) tan(x − π/4)= (tan x − 1)/(tan x + 1) Thank you!

*November 22, 2013 by Anonymous*

**mult'vi calc**

Let F(x, y, z) = z tan−1(y^2)i + z^3 ln(x^2 + 10)j + zk. Find the flux of F across S, the part of the paraboloid x^2 + y^2 + z = 19 that lies above the plane z = 3 and is oriented upward. Thanks! STudying for a quiz... *tan−1 is tan^(-1)

*November 11, 2013 by RX*

**mechanics (calculating plane speed and climb angle**

Two radar stations A and B, are separated by the distance a = 500 m, track the plane C by recording the angles α and β at 1-second intervals. If three successive readings are t (s) 9 10 11 α 54.80◦ 54.06◦ 53.34◦ β 65.59◦ 64.59◦...

*November 10, 2012 by royston*

**Calculus**

The question will first read in English followed by a reading in French. *************************************** If alpha + 2 beta = pi/4 AND tan beta = 1/3. What would tan alpha mesure? (Keep in mind that pi/4 is the same as 45 degrees.) Si alpha + 2 beta = pi/4 ET tan beta...

*April 30, 2012 by Melanie*

**sgmic**

Prove that tan theta+tan 2theta+tan 3theta=tan theta*tan 2theta*tan 3theta

*June 16, 2015 by radhika pandey*

**Math **

tan(-120)= sqrt 3 OR - sqrt 3 (Helper stated that it was sqrt 3) But, I'm just confused over this part: for even vs. odd functions it saids that tan(-angle) = - tan(angle) so the even vs. odd doesn't matter since tan is positive in the QIII?

*March 1, 2011 by Amy*

**Pre Cal**

tan 2x- tan 6y/ 1+ tan 2x tan 6y

*April 9, 2012 by Kara*

**calculus**

Differentiate e^(2x^3+x) X tan(x^2) tan e^x / ln(x^6/2-3x+3e) cos(tan(e^4x^2))

*March 30, 2008 by daria*

**maths-trignometry**

Prove that tan-1 (1/7) + tan-1 (1/13) = tan-1(2/9)

*March 16, 2013 by anoynomous*

**Math**

Simplify (tan 4X+tan 2x)/(1-(tan 4X)(tan2X))

*September 6, 2013 by Jackson*

**Maths**

I'm done with this question..Can anyone help me? tan^-1(yz/xr) + tan^-1(zx/yr) +tan^-1(xy/zr) = pi/4 Prove that x^2+ y^2+ z^2=r^2

*March 11, 2015 by Suhail*

**algebra**

How do you do this in your calculator? tan 79=x/150 x= 140 tan 79 Calculators are differnt. Here is my 70 tan x (times key) 150 = And here is a way to let Google do it. Type in the Google search engine 150 tan 79degrees press search thanks

*February 13, 2007 by Wilma*

**need asap trigg**

simplify the expression by using a double angle formula or a half angle formula: a. 2 tan 7 degrees /1-tan^2 7 degrees b.2 tan 7 theta / 1-tan^2 7 theta

*March 3, 2014 by Kaylee*

**trigonometry**

Given that tan A = 2 tan B (B is the symbol for Beta) show that tan (A-B) = sin 2B/3- cos2 Beta.

*May 1, 2012 by lindsay*

**Geometry**

Please check for me .Thanks A building cast a shadow 23 feet long when the angle of the sun is 52 degree. Find the height of the building to the nearest integer. Let X be the height of the building Tan 52 degree =x/23 23 tan 56 =294feet x = 23 tan 52 = 29.4 feet You made a ...

*June 20, 2007 by DANIELLE*

**math**

if sin(x+α)=2cos(x-b) show tan x such that : tan x=(2-tan α)/(1-2 tan α)

*December 5, 2012 by James*

**Math**

Use an addition or subtraction formula to write the expression as a trigonometric function of one number, and then find its exact value. (tan(π/2)+tan((2π)/3)) / (1-tan(π/2)tan((2π)/3)) Answer=__________ Exact value answer=_________ ~Thank you.. I thought ...

*November 15, 2010 by Shaun *

**Physics Check My Work Please**

Determine the minimum angle at which a roadbed should be banked so that a car traveling at 20 m/s can safely negotiate the curve if the radius of the curve is 200m. * Data: v=20 m/s r=200m *Formula TAN(theta)=v^2/rg *Solution TAN(theta)=(20 m/s)^2/(200m)(9.8 m/s^2) TAN(theta...

*December 3, 2015 by Jose Luis*

**Please Check My Work: College Physics**

Determine the minimum angle at which a roadbed should be banked so that a car traveling at 20 m/s can safely negotiate the curve if the radius of the curve is 200m. * Data: v=20 m/s r=200m *Formula TAN(theta)=v^2/rg *Solution TAN(theta)=(20 m/s)^2/(200m)(9.8 m/s^2) TAN(theta...

*December 3, 2015 by Jose Luis*

**Pre-calculus help**

I have two problems I am stuck on, if you could show me how to solve the problems it would be much appreciated. 1) Find sin 2x, cos 2x, and tan 2x from the given information. tan x = − 1/6, cos x > 0 sin 2x = cos 2x = tan 2x = 2) Find sin 2x, cos 2x, and tan 2x from ...

*April 10, 2015 by Holly*

**Pre-Cal**

Perform the addition or subtraction. tanx - sec^2x/tanx tan^2(x)/tan(x) - sec^2x/tanx = tan^2x sec^2x / tanx then I use the identity 1+tan^2u=sec^2u I do not know what to do at this point.

*March 5, 2010 by Hannah*

**Trigonometry**

Please review and tell me if i did something wrong. Find the following functions correct to five decimal places: a. sin 22degrees 43' b. cos 44degrees 56' c. sin 49degrees 17' d. tan 11degrees 37' e. sin 79degrees 23'30' f. cot 19degrees 0' 25'' g. tan 64degrees 6' 45'' h. cos...

*January 1, 2011 by Anon*

**Trig/Geometry**

Wendy spots a pizza delivery car as she is looking down at a 15 angle from the top of her apartment building, which is 145 ft tall. How far away is the car from the base of the building? Round to the nearest hundredth. A. 45.98 ft B. 3.56 ft C. 38.85 ft D. 68.78 ft I keep ...

*May 28, 2015 by Rothko*

**trig**

(3 tan^2x-1)(tan^2-3)= 0 can someone please explain how to do this problem and then explain the whole pie thing at the end...like, this is suppose to equal pie/6 b/c it's tan...im soooo confused.....

*October 28, 2011 by help?*

**Calculus 12th grade (double check my work please)**

2- given the curve is described by the equation r=3cos , find the angle that the tangent line makes with the radius vector when =120. A. 30 B. 45 C. 60 D. 90 not sure A or D 2.) which of the following represents dy/dx when y=e^-2x Sec(3x)? A.3e^-2x sec(3x) tan (...

*March 6, 2011 by anon*

**Calculus**

s=dx/(4+5cos x). By using t-substitution, i.e. t=tan(x/2) we get cos x=(1-t^2)/(1+t^2) and dx=2dt/(1+t^2). Substituting in s and simplifying, we get s= 2dt/4(1+t^2)+5(1-t^2)=2dt/(9-t^2). Using standard result dx/(a^2-x^2)=1/a*arctanh (x/a) we get s=2/3*arctanh {1/3*tan...

*October 30, 2013 by MS*

**calculus**

Show that tan^3(x)-8(tan^2(x))+17(tan(x)0-8 = 0 has a root in [0.5, 0.6]. Apply the Bisection Method twice to find an interval of length 0.025 containing this root. I have NO idea where to go with that equals 0 part...I could figure it without it but that throws me off ...

*October 24, 2011 by terra*

**art**

I have an image by Takashi Murakami.that I need a professional opinion for complete a detailed analysis of the image using all the visual elements and principles of design. The image is Tan Tan Bo Pukinga.k.a. Gero Tan (2002).

*November 30, 2010 by Mike*

**maths**

Derivative of √ tan x is, Answer: A. sin 2 x/ √ tan x B. cos 2 x/ 2 √ tan x C. sec 2 x D. None of these

*July 16, 2010 by tej*

**tan x = 1/2**

Can someone tell me what the radian value is for this number and how they got it? Thanks On a graph plot the point A(2,1) Let C(2,0) be the point on the x-axis x is the angle AOB and tan x = 1/2 Since angle x is not one of the special angles, you will have to use a calculator ...

*April 3, 2007 by Anonymous*

**Tan^2 Integrals **

I'm having a hard time understanding how to do Integrals involving tan^2. I have two problems: 1. Find the integral of (tan^2 y +1)dy 2. Find the integral of (7tan^2 u +15)du 1. My approach to it is to replace the tan^2 y portion of the problem with sec^2 y -1, but it doesn't ...

*December 10, 2013 by Anonymous*

**Math-Limits**

sqrt(1+tan x)-sqrt(1+sin x) lim all divided by x^3 x-->0 Use that Sqrt[1+x] = 1+ 1/2 x + 1/2 (-1/2)/2 x^2 + 1/2(-1/2)(-3/2)/6 x^3 + O(x^4) You can thus write the numerator as: 1/2 [tan(x) - sin(x)] - 1/8 [tan^2(x) - sin^2(x)] + 1/16 [tan^3(x) - sin^3(x)] + O(x^4) Note that...

*March 5, 2007 by Matt*

**math**

Use the exact values of the sin, cos and tan of pi/3 and pi/6, and the symmetry of the graphs of sin, cos and tan, to find the exact values of si -pi/6, cos 5/3pi and tan 4pi/3. I have found the answers to the first three using the special tables sin(/6) = cos(/3) = 1/2 ...

*August 24, 2011 by jenny*

**trigonometry (please double check this)**

Solve the following trig equations. give all the positive values of the angle between 0 degrees and 360 degrees that will satisfy each. give any approximate value to the nearest minute only. a.) ( I got confused doing this 1 can you help me with it.) 3 sin theta - 4 cos theta...

*March 3, 2011 by anon*

**Trig**

Can someone check my answers so far? 1. Find the exact value of tan(-3) Answer: tan(-3) = tan (-3 + 2) = tan (-) = tan (- + 2) = tan() = sin ()/cos() = (0)/(-1) = 0 Exact value is 0 2. Solve triangleABC is C = 90 degrees, B = 20 degrees, and b = 10. Round the measures...

*January 29, 2009 by Kasey*

**TRIG**

what is another form of: sin (A+B) sin (A-B)/ cos^2 A cos^2 B a) cos^2 A - cos^2 B b) tan^2 A - tan^2 B c) tan^2 A - tan^2 B d) sin^2 A - sin^2 B please show the steps you take to get to the answer! thank you

*November 26, 2010 by rossi*

**Calculus AP**

I'm doing trigonometric integrals i wanted to know im doing step is my answer right? ∫ tan^3 (2x) sec^5(2x) dx =∫ tan^2(2x) sec^4(2x) tan*sec(2x) dx =∫ (sec^2(2x)-1)sec^4 tan*sec(2x) dx let u=sec x, du= 1/2 tan*sec(2x) dx =1/2∫ (u^2(2x)-1) u^4 du =1/2&#...

*September 22, 2012 by Vicky*

**Math Analysis**

Can someone check my answers please? Thank you! If tan x = 3/5, evaluate: 1) tan 2x 2) tan 3x ==> For #1, I got 15/8; for #2, I got -99/5. Are these answers correct?

*May 24, 2010 by Emily*

**Calculus**

How do I calculate the following? tan−1(tan(8)) − tan−1(tan(4))

*October 18, 2015 by Anonymous*

**math**

prove cos(x+y) / cos(x-y) = (1-tan x tan y)/(1+tan x tan y)

*December 10, 2011 by Yuni*