If tan theta=3/4 then find the value ofcos^2 theta  sin ^2 theta
101,260 results
Math
1. Let (7, 4) be a point on the terminal side of (theta). Find the exact values of sin(theta), csc(theta), and cot(theta). 2. Let (theta) be an angle in quadrant IV such that sin(theta)=2/5. Find the exact values of sec(theta) and tan(theta). 3. Let

math
Let theta be an angle in quadrant IV such that sin(theta)=(2)/(5). Find the exact values of sec(theta) and tan(theta).

trig
If sin theta is equal to 5/13 and theta is an angle in quadrant II find the value of cos theta, sec theta, tan theta, csc theta, cot theta.

Precalculus check answers help!
1.) Find an expression equivalent to sec theta sin theta cot theta csc theta. tan theta csc theta sec theta ~ sin theta 2.) Find an expression equivalent to cos theta/sin theta . tan theta cot theta ~ sec theta csc theta 3.) Simplify (tan^2 theta +

trig
If sin theta = 2/7 and theta is in quadrant 2 find cos theta, sec theta, csc theta, tan theta, and cot theta

math (trig)
if cos 2 theta = (1/3) and theta is in Quadrant 2, find sin theta, cos theta, tan theta, and draw triangle theta

Math
Which of the following functions have a vertical asymptote for values of theta such that cos theta = 1? Select two answers. y = sin theta y = cos theta y = tan theta y = sec theta y = csc theta y = cot theta I know what all these functions look like, but I

Precalculus
Which of the following are trigonometric identities? Select all that apply (there are 3 answers). A cos^2(theta)=sin^2(theta)1 B sin(theta)=1/csc(theta) C sec(theta)=1/cot(theta) D cot(theta)=cos/sin(theta) E 1+cot^2(theta)=csc^2(theta)

Pre Calculus
Find an expression equivalent to sec theta tan theta/ sin theta.

Precalculus
Circle O below has radius 1. Eight segment lengths are labeled with lowercase letters. Six of these equal a trigonometric function of theta. Your answer to this problem should be a six letter sequence whose letters represent the segment lengths that equal

math
tan theta= 15/8 and pi< theta

Trig
The point (5/12) is on the terminal side of an angle theta in standard position. Find Sin theta, cos theta and tan theta Thank You!

Calc
Calculate the exact values of sin(theta) cos(theta) and tan (theta) when theta=240 degrees. How would I do this with and without a calculator?

PreCalculus
Which is the polar form of the parametric equations x=5cos(theta) and y=5sin(theta) ? a. r= 5(theta) b. r= 5 c. r= 25 cos (theta) sin (theta)***** d. r= 25cos^2 (theta) + 25sin^2 (theta) Which is the polar form of the parametric equations x=4t and y=t^2?

trigonometry26
If 1+sin^2 theta = 3sin theta cos theta, then prove that tan theta =1or 1/2

Calculus
Which is the correct cofunction identity for (tan theta?) A csc(90degrees  theta) B sec (90degrees  theta) C sin (90degrees  theta) D cos (90degrees  theta) E cot (90degrees  theta)

mathematics maclaurin series
By considering standard series of sin theta and cos theta, show that tan theta is approx = theta when theta is small such that theta^3 and higher powers of theta are negligible.

trig
Find csc(theta), tan (theta), and cos (theta), where theta is the angle shown in the figure. Give exact values, not decimal approximations c=10 b=7 a=7.14 the right angle is locate between sides a and b and the theta angle is an acutle angle sides b and c.

precalc h
sin(theta)/1cos(theta) + 1cos(theta)/sin(theta) = 2csc(theta) That question makes absolutely no sense.. could someone help me? or lead me in the direction to figuring it out? and.. (Beside the trig functions is theta) 1+1/cos = tan^2/sec1

Fluid Mechanics  The Complex Velocity potential f
Note : Let us combine a source of strength m at the origin with a uniform flow of velocity 𝑢 parallel to the positive xaxis. Then the complex velocity potential(w = [velocity potential(pi)]  stream function(A)*i) is; 𝑤 = −(𝑢𝑧) −

Trig
1. Establish the identity: sin(theta+3pi/2)=cos(theta) 2. Find the exact value of 2(theta) if sin(theta)=5/13 3. Show that: csc2(theta)cot2(theta)=tan(theta) 4. Find the exact value of tan(cos^1(square root of 3/2) 5. Approximate the value rounded to

trigonometry
can you correct the rest for me please? Express each as a function of theta: a. sin (270deg + theta)= cos theta b. cos (pi + theta)= cos theta c. tan (810 + theta)= ????? d. sin (theta  180)= sin theta

Trigonometric Functions
Determine the Value of all six trigonometric functions of theta when given? I need help. This is for my midterm review, if anyone is willing to help, I'd appreciate it. a) sin theta= 3/5 and theta is in quadrant 1. b) tan theta= 2 and theta is in quadrant

Algebra II
Multiple Choice (theta) means the symbol 0 with the dash in it. 1.)Which expression is equivalent to tan(theta)(sec(theta))/(sin(theta))? A.)cot(theta) B.)cot(theta) C.)tan(theta)cot(theta) D.)tan(theta)sec^2(theta) 2.)Find the exact value of:cos 375

Precalculus(NEED HELP ASAP PLEASE!!)
PLEASE HELP!! csc(theta)= 3/2 3pi/2 < theta < 2pi Find: sin(theta)= _____ ? cos(theta)= _____ ? tan(theta)= _____ ? cot(theta)= _____ ? sec(theta)= _____ ?

precalc pre ap
If theta is a rotation angle that terminates in quadrant ll and sin of theta is 5/13, find cos of theta and tan of theta. Use the first Pythagorean identity to solve for cos of theta and use quotient identity to solve for tan of theta.

Math:)
Which trigonometric functions are equivalent to tan(theta)? Select all that apply. (2 answers) a. tan(theta)**** b. tan(theta) c. tan(theta) d. tan(theta+2pi)**** e. tan(theta+pi/2)

Trig
Which expression equivalent to: cos(theta + pi/2). A)cos theta B)cos theta C)sin theta D)sin theta my book doesnt give examples of this but my crack at it would be C b/c distributive property? and 2cos theta = sin theta

Physics
I calculated tan and sin (theta) for a physics lab experiment  twoslit interference I had to use this equation y = L tan (theta), with y = 0.25 and L = 2 and tan (theta) came out to be 7.12 in degrees and 0.1243 in radians. I found sin (theta) by using

trig
in proving trigonometric identities if sec theta  tan theta sin theta is equal to cos theta. what is the correct answer?

math
Find the exact values of sin 2theta, cos 2 theta and tan 2 theta when cot theta = 4/3

Trig
If tan theta = a/b, where a and b are positive, and if theta lies in quadrant III, find sin theta

Precalculus(NEED HELP ASAP PLEASE!!)
cot(theta)= 3 pi < theta < 3pi/2 Find: sin(theta)= 1 ? cos(theta)= 3 ? tan(theta)= 1/3 ? sec(theta)= 1/3 ? csc(theta)= 1 ? That's what I came up with, but they are not correct, PLEASE help me where I went wrong!!

math;)
Julia wants to simplify the term sec^2 theta1/cot^2 theta+1 in a trigonometric identity that she is proving. Which of the following identities should use to help her? Select all that apply. (2 ANSWERS) a. sin^2 theta+cos^2 theta=1 b. sec^2 thetatan^2

Math Trig Help
sin theta = x/3, with theta in the first quadrant, find the expression for cos theta and tan theta. Answers will be in algebraic terms of x. Give exact answers with 0 < theta

trig
If sin 2 theta = (2/5) in Quadrant 2, find sin theta, cos theta, tan theta, and draw triangle theta.

trigonometry
I need help in understanding how to identify which identity to use. using this question as an example. Show that tan theta (sin theta+cot theta cos theata)all over cos theta = sec^2 theta. Please explain.

trig
If tan theta = sin theta, and theta is greater than or equal to 0 and less than or equal to 2 pi. find cos theta and what is theta

math
Prove the identity cos theta  sin theta / cos theta + sin theta = sec 2 theta  tan 2 theta.

Calculus 2
Write in cartesian form: r=3tan(theta)sec(theta) im working with this function here, trying to get an rcos(theta) and/or rsin(theta) so far, i am stumped. what i have so far: r^2=3r(tan(theta)sec(theta)) (x^2+y^2)=?????

Trigonometry
Thank you STEVE!!!!! Suppose that Cos (theta) = 1/square root 2 if 0

science
Sitting on a horizontal track is a mass of 10kg. One end of the track is raised untill the mass just begins to slip. If the coeffieient of static friction is .4 what is the minimum angle at which the mass begins to slip? mgSinTheta = mg*mu*CosTheta

Trigonometry
Prove the following identities: 1. (tan theta  sin theta)^2 + (1cos theta)^2 = (1sec theta) ^2 2. (12cos^2 theta) / sin theta cos theta = tan theta  cot theta 3. (sin theta + cos theta ) ^2 + (sin theta  cos theta ) ^2 = 2 Thank you so much! :)

Math
angle theta is in the standard position and 0'=

trigonomtry
can you correct the rest for me please? Express each as a function of theta: a. sin (270deg + theta)= cos theta b. cos (pi + theta)= cos theta c. tan (810 + theta)= ????? d. sin (theta  180)= sin theta

Trigonometry
I don't understand how I'm supposed set the problem up or what theta is... Use the given function value(s), and trigonometric identities (including the cofunction identities), to find the indicated trigonometric functions. sec theta = 5, tan theta 2 *

PreCalculus
1.) Which of the following polar equations is equivalent to the parametric equations below? x=t^2 y=2t A.) r=4cot(theta)csc(theta) B.) r=4tan(theta)sec(theta) C.) r=tan(theta)sec(theta)/4 D.) r=16cot(theta)csc(theta) 2.) Which polar equation is equivalent

trig
Hi there! I NEED SERIOUS HELP, PLEASE!!! i have such a hard time with verifying identities! The question is: [(sin(theta/2)) / csc(theta/2)] + [(cos (theta/2) / sec(theta/2)] = 1 I have a few ideas on how to solve this, but am mainly not sure how to get

math;)
What is a simplified form of the expression (sec^3 theta)  (sec theta/cot^2 theta)? a. 0 b. sec thetatan theta c. cos theta d. sec theta***** Every time I attempt to work out this problem I end up with one. I know the answer is sec theta, but I do not

MATHS TRIGONOMETRY
if 3sin theta =2 and cos greater than 0,with the aid of a diagram determine the value of: a) tan theta b) sin theta/cos theta c) sin^2 theta + cos^2 theta

math
Another: theta is a second quadrant angle in standard position and tan theta =  (sqrt5)/(2) . Find the exact value of cos theta. I assume I use the equation 1 / cos(theta)^2 = 1 + tan (theta)^2 However how does this work out algebraically?

math
knowing that 2(theta) can be written as theta + theta, find the expression for sin2(theta) and cos2(theta). Is it 2sin(theta)cos(theta)?

Mathamatics
Solve the following trigonometry identities. a) 1cos2(theta) = sin(theta)cos(theta)/cot(theta) b) (1cos2(theta))(1tan2(theta))=sin2(theta)2sin4(theta)/1sin2(theta) *its supposed to be cos to the power of two, sin to the power of four, etc. There is

Differential Equations
How do we solve the following differential equation? dr/[ (m/(r^2)) + vcos(theta) ] = r*d(theta)/(vsin(theta) The answer is given as vr^2*sin^2(theta)  2mcos(theta) = k , k is a constant But I'm really confused how to do this one, since there are several

HS Calculus
1) Limit theta approaching zero sin squared theta/ tan theta 2) Lim x appraoches zero x + sin x/x x + sin x/x = x/x + sinx/x 0 + 1 =1 My answer : 1 Is this correct

HS Calculus
1) Limit theta approaching zero sin squared theta/ tan theta 2) Lim x appraoches zero x + sin x/x x + sin x/x = x/x + sinx/x 0 + 1 =1 My answer : 1 Is this correct

Maths
Find the value of theta: 810Cos(theta) + 135 + 2430 Sin(theta)Cos(theta) = 0 Can someone please show me how to simplify it to find the value of theta? Thanks!

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

Calculus
I wanted to confirm that I solved these problems correctly (we had to convert the polar curves to Cartesian equations). 1.rcos(theta)=1 x=1 2.r=2*sin(theta)+2*cos(theta) r^2=2rsin(theta)+2rcos(theta) x^2+y^2=2y+2x (a little unsure what do next if this is

Maths
If tan theta=3/4 then find the value ofcos^2 theta  sin ^2 theta

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

Algebra II
Multiple Choice Which expression is NOT equivalent to 1? (theta) means 0 with dash in it. A.)sin^2 (theta)+cot^2 (theta) sin^2 (theta) B.)(sin^(theta))/(1cos(theta))cos(theta) C,)sec^2 (theta)+ tan^2 (theta) D.)(cot^2(theta) sin^2 (theta))/(cos^2(theta))

Precalculus check answers help!
1.) Find an expression equivalent to sec theta sin theta cot theta csc theta. tan theta csc theta sec theta ~ sin theta 2.) Find an expression equivalent to cos theta/sin theta . tan theta cot theta ~ sec theta csc theta 3.) Simplify (tan^2 theta +

math
I have a question I have been working on since yesterday and I am not making this up. I couldn't get the right answer. If sin theta = 2/3, which of the following are possible? A: cos theta= the sqr rt of 5/3 and tan theta =2/3. B: sec theta = 3/the sqr

Trigonometry
Prove the following identities: 1. (tan theta  sin theta)^2 + (1cos theta)^2 = (1sec theta) ^2 2. (12cos^2 theta) / sin theta cos theta = tan theta  cot theta 3. (sin theta + cos theta ) ^2 + (sin theta  cos theta ) ^2 = 2 Thank you so much! :)

Calculus
If cos of theta= 7/12 and theta is in quadrant 2 then find a. tan(theta) cot (theta)= b. csc(theta) tan(theta)= c. sin^2(theta)+ cos^2(theta)=

trigonometry
can you correct the rest for me please? Express each as a function of theta: a. sin (270deg + theta)= cos theta b. cos (pi + theta)= cos theta c. tan (810 + theta)= ????? d. sin (theta  180)= sin theta

Calculus
Below are the 5 problems which I had trouble in. I can't seem to get the answer in the back of the book. Thanks for the help! lim (thetapi/2)sec(theta) theta>pi/2 Answer: 1 I am not sure what to do here. lim (tan(theta))^(theta) theta>0+ Answer:1

Algebra II
Which of the following expressions are not equal to 1? A) sin^2 theta + cot^2 theta sin^2 theta B) (sin^2 theta/1cos theta)cos theta C) sec^2 theta + tan^2 theta D) cot^2 theta sin^2 theta/cos^2theta Answer: D

Trig
Find the exact values of sin 2 theta, cos 2 theta and tan 2thea using the double angle formula sin theta = 3/4 , pi/2 < theta < pi

easy trig
If sin(theta)=[sqrt(70)]/7 and theta is in Quadrant two, find the exact numerical value of tan theta without using a calculator. I got tan(theta)=[sqrt(294)]/42 Is that right? if sin(theta)=a where 0

simple trig
If sin(theta)=[sqrt(70)]/7 and theta is in Quadrant two, find the exact numerical value of tan theta without using a calculator. I got tan(theta)=[sqrt(294)]/42 Is that right? if sin(theta)=a where 0

Trigonometry
The question was: "Given that sin theta is 1/2 and theta is in quadrant IV, find the cos and tan of theta." I found 1/2 for cosine and 1 for theta, but the answer sheet said I was incorrect. I am almost positive I did this correctly... can someone double

trig
the terminal side of angle theta in standard position lies on the line that travels through point (9,1), find sin of theta, cos of theta, tan of theta. (give exact values)

Precalculus(NEED HELP ASAP PLEASE!!)
PLEASE HELP!! sin(theta)= 1/3 pi/2 < theta < pi Find: cos(theta)= ______ ? tan(theta)= ______ ? cot(theta)= ______ ? sec(theta)= ______ ? csc(theta)= ______ ?

I dont think drawing a picture will help me drwls
Which expression is equivalent to tan thetasec theta/sin theta? A)cot theta B)cot theta C)tan thetacot theta D)tan thetasec^2theta just tell me what I need to know to set it up

Physics
What point on the xy plane does theta = 0 describe? I tried doing: tan(theta) = y/x tan(0rad) = y/x 0 = y/x So y is definitely 0. y = rsin(theta) r = y/sin(theta) = 0/sin(0rad) = 0/0 ... I highly doubt that this problem was meant for having to do

Trigonometry
express in terms of sine and cosine. a) tan theta/ cot theta i know the answer is sin^2 theta / cos ^2 theta but how do you do it?

Trig Identities
Please help...I'm not understanding trig identities and how to manipulate and express these two problems in their associated functions. Thanks a)Express as a function of cos (theta) 2 sin^2(theta)  1 b)Express as a function of sin (theta) or cos (theta)

Calculus
Which one or ones of the following integrals produces the area that lies inside the circle r = 3 sin θ and outside the cardioid r = 1 + sin θ? (10 points) I. 1/2 the integral from pi/6 to 5pi/6 of 9*sin^2 theta minus (1 + sin theta)^2 d theta II. the

MATH
prove tan (theta/2)= (sin(theta))/(1+cos(theta))for theta in quadrant 1 by providing the calculation along with the reason. I appreciate the help.

Algebra
Verify the identity. Justify each step. tan (thetA) + cot (thetA) = 1 / sin (thetA) cos (thetA)

Optimization
min 2x+y subject to: x+y+z=1 and y^2+z^2=4 Any help would greatly be apprecaited. y^2+z^2=4 > put y = 2 cos(theta) and z = 2 sin(theta) x+y+z=1 > x = 12(cos(theta) + sin(theta)) 2x + y = 2  2 cos(theta)  4 sin(theta) It's not difficult to find

Trigonometry
[Sin^2(theta)  tan(theta) ] / [cos^2(theta)  cot(theta)] = tan^2(theta) I am supposed to prove that the left side of the equation is supposed to be equal to the right side. And I been confused on how to solve it.

trig
Write each identity expression in terms of:1. cos theta= a. sin^2theta  sec^2theta1 2. tan theta= a. sec theta over sin theta minus sec theta over cosecant theta.

calculus
given 7sin^2 theta + cos theta sin theta = 6 show that tan^2 theta + tan theta  6 = 0

math
Hi ! Here is my question: The pythagorean theorem gives the relationships between the sides of a right triangle. The following identities show the relationships between the trigonometric functions of a particular angle. sin^2(theta) + cos^2(theta) = 1

Trigonometry
If cot 2(Theta) = 5/12 with 0 (less than or equal to) 2(Theta) (Less than or equal to) Pi, find the cos(Theta), sin(Theta), and tan(Theta).

Precalculus
Find two values for theta such that theta is greater than or equal to 0 but less than or equal to 2pi. 1. Tan theta=1.1071 2. Sin theta = 0.8818

Precalculus
Find two values for theta such that theta is greater than or equal to 0 but less than or equal to 2pi. 1. Tan theta=1.1071 2. Sin theta = 0.8818

Math Trig
1. Determine the exact value of cos^1 (pi/2). Give number and explanaton. 2. Determine the exact value of tan^1(sq. root 3). with explanation. 3. Determine exact value of cos(cos^1(19 pi)). with explanation. 4. Determine the exact value of sin(sin^1(20

Calculous
Evaluate sin(theta) and cosine (theta) for the angle theta The graph gives you a point of (0.6,0.8) on the x y coordinate plane with a radius of what appears to be 1 ( unit circle ) sin (theta) = cos (theta) =

trig
Which expression is equivalent to tan theta  sec theta/sin theta? A)cot theta B)cot theta C)tan thetacot theta D)tan thetasec^2theta

Trigonometry
Prove sin theta ( sec theta+ csc theta)= tan theta+1

trigonometry
Given Cos (theta)= 0.5, find Sin (theta) and tan (theta), correct to 2 decimal places.

math
if sin theta equals 3/5 and theta is second quadrant angle find tan 2 theta.my ans. was 3.442 but is wrong can you correct and show work please. thank you so much.

Futher maths
Tan theta +2sec theta=2 cot theta+3cosec theta=a Find theta

Pre Calculus
Find an expression equivalent to sec theta tan theta/ sin theta.

Precalculus 2
Similiarly to a question I asked previously I took the same approach. the problem is: what value(s) of theta solve the following equation? cos(theta)sin(theta)  2 cos(theta) = 0? I let Cos theta = X and sin theta = X unfortunately I end up with something

trig
express 20sin theta + 4 cos theta as R sin(theta + alpha) R sin(theta + alpha) = R cos(alpha)sin(theta) + R sin(alpha)cos(theta) > Rcos(alpha) = 20 Rsin(alpha) = 4 The xy coordinates of a point on a circle of radius R that makes an angle og alpha with