You know tangentTheta=h/4 take the derivative sec^2 Theta * dTheta/dt= 1/4 dh/dt you know dtheta/dt solving for dh/dt You know sec Theta from the right triangle: sec theta = sqrt(h^2 +16) /h check me. Georgina: in the future, please put
10,793 results
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)

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

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?

Trigonometry
Let (7,3) be a point on the terminal side of theta. Find the exact values of cos of theta, sec of theta and cot of theta?

calculus
let theta be an angle of quadrant IV such that sin theta = 8/9 find the exact value of sec theta and cot theta?

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).

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 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.

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

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

rate of change
A missile rises vertically from a point on the ground 75,000 feet from a radar station. If the missile is rising at the rate of 16,500 feet per minute at the instant when it is 38,000 feet high, what is the rate of change(in radians per minute) of the

Pre calculaus
find sin theta and cos theta if cot theta = 3/7 and sec theta is < 0

math
if sec theta  tan theta ÷sec theta +tan theta = 1÷4 ,find sin theta

trig
Given Tangent theta = 5 on 4 and cos theta >0, find sine theta and sec theta

precal
Find the value of sec theta for angle theta in standard position if the point at (–2, –4) lies on its terminal side. If 0° lessthanorequalto x lessthanorequalto 360°, solve the equation sec x = –2. The terminal side of an angle theta in standard

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

Maths
given y=thetacos theta and x=sin theta. Show that d^2x/dy^2 =sec^2 theta (tan theta + sec 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!!

trig
find an expression equivalent to sec theta sin theta cot theta csc theta

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

trig
if (0,7) lies on the terminal side of angle theta in standard position, find each value sec(theta) , cot(theta) and sin(theta)

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)= _____ ?

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)

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
Let theta be an angle in quad III such that sec theta = 13/5. Find the exact values of cot theta and sin theta? Thank you!!!

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)= ______ ?

calculus
A searchlight rotates at a rate of 4 revolutions per minute.? The beam hits a wall located 13 miles away and produces a dot of light that moves horizontally along the wall. How fast (in miles per hour) is this dot moving when the angle between the beam and

Calculus
Finding critical numbers g(theta) = 16(theta)  4tan(theta) I can only get the derivative of g to be g'(theta) = 16  4sec^2(theta). Am I supposed to move on to get sec^2(theta) = 4, then sec(theta) = 2?

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)=?????

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

Math
Let theta be an angle in quadrant II such that sin theta=8/17. Find the exact values of sec theta and tan theta

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

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

Maths  trigonometry
if sec theta*sin(36° + theta )=0 , find the value of theta so that theta and 36°+theta are acute angles

differentiate
A = 1/2 ab Sinè How is dA/dt related to da/dt, db/dt and dè/dt dA/dt= 1/2 b SinTheta da/dt + 1/2 a SinTheta db/dt + 1/2 ab cosTheta dTheta/dt This is a U = xyz form dU/dt= xy dz/dt + ...

Calculus PLEASE check my work ,
1.) which of the following represents dy/dx when y=e^2x Sec(3x)? A.3e^2x sec(3x) tan (3x)2e^2x Sec(3x)

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

Math
Verify the identity shown below 1/(sec(theta)  tan theta) = sec(theta) + tan theta

Calculus
How do you prove area of a circle? Integrate an incremental area dArea = r dr dTheta from r=0 to R, and Theta from zero to 2PI radians. Area= INT INT dTheta rdr dTheta Area= 2PI (1/2 R^2)= PI R^2

More related rates.
Heyy, its me again. So last night I asked a related rate question, and I think I still don't get it. I tried it a few differnt ways and I think I'm just missing something...I don't think a speed of a rocket can be 0.018km/hr:S. So heres what happened: A

calculus
If the hands on a clocktower's clock are 2ft and 3ft long, how fast is the distance between the tips of the hands of the clock changing at 9:20? I know that the derivative of the minute hand is pi/30 rad/min and derivative of the hour hand is pi/360

Calculus 12th grade (double check my work please)
1.) which of the following represents dy/dx when y=e^2x Sec(3x)? A.3e^2x sec(3x) tan (3x)2e^2x Sec(3x)

physics
How do you calculate radial force? Just to qualify, I am given a radial acceleration. If you are given the component of the acceleration in the radial direction, then you need to multiply that by the mass. If you are given the time dependence of the

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 +

precalc
prove the identity: (tan theta)/(csc theta) + 1/(sec theta)= sec theta

Calculus
1.) Find the derivative of tan (sec x). 2.) Find the derivative if 1/x in four ways, using the limit process, power rule, quotient rule and implicit differentiation. 3.) Show that the derivative of sec^1 x is 1/(x*sqrt(x^2 1)). 4. Find the derivative

,math
show that sec theta(cosec theta)  cot theta = tan theta

Physics
A bicycle starts at the origin of a circular track that has a circumference of 126 m and travels at a constant speed a distance s = 38.0 m in a time t = 12s. a)what is the angular displacement (in rad) of the bicycle from its starting position? r=20.1 so

calculus
A searchlight rotates at a rate of 4 revolutions per minute.? The beam hits a wall located 13 miles away and produces a dot of light that moves horizontally along the wall. How fast (in miles per hour) is this dot moving when the angle between the beam and

Help! Urgent!
You know tangentTheta=h/4 take the derivative sec^2 Theta * dTheta/dt= 1/4 dh/dt you know dtheta/dt solving for dh/dt You know sec Theta from the right triangle: sec theta = sqrt(h^2 +16) /h check me. Georgina: in the future, please put the title in the

Related rates,...again
I also have another question (I'm not doing too good one these realted rates). A camera, located 2 km from the launch pad, is tracking the rocket that is fired straight up. When the height of the rocket is 20 km, the camera is rotating at the rate of 1/200

Calculus
Solve the integral: (1x^2)^(3/2)/x^2 This is what I have so far. I used trig substitution. x=sin theta dx=cos theta dtheta [1(sin^2 theta)^(3/2)]*[cos theta dtheta]/(sin^2 theta) [(cos^3 theta)]*[cos theta dtheta]/(sin^2 theta) (cos^4 theta)/(sin^2

calc
If D is the solid region in the first octant bounded above by the paraboloid z = 1 − x2 − y2 and below by the xyplane, the volume of D is: so i set this up integrating over dz dr dtheta and got pi/2 but the answer i spi/8

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.

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
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

Math
solve sin(theta)=1 for all real values of (theta) I don't understand but by following the example in my book; sec(theta)=1 from the pattern of the secant function, sec(theta)=1 if theta=pi*n, where n is an odd integer. There is no example of sin.

mathcalc
Two sides of a triangle have constant lengths a and b, and the angle between them is theta. What value of theta will maximize the area of the triangle? so far i have the formula and the derivative. A=.5absin(theta) A'=.5abcos(theta) then i set the

Math (Right Triangle Trig)
Suppose tan(theta)=5/7 and theta belongs to Quadrant III, find the exact value of sec(theta)? I already took the steps to solve this problem but I am confused if whether or not sec(theta)is positive or negative sqrt(74)/7 Any help is greatly appreciated!

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

Math
Fin the value of Theta if sec theta=3 I inverted the value of sec theta to get cos theta=1/3 I then said Theta=cos1 (1/3) Is thus correct? What is the answer rounded to the tenths place?

math
n angle theta satisfies the relation (CSC theta)(cos theta)=1 Give an example of information needed to determine a unique value for theta If sec theta is known to be negative, what is the CSC theta value of theta?

Precalculus
Solve for the equation in the given domain. (tan theta)(sec theta)=tan theta theta E{real numbers of degrees} BY THE WAY, REMIND ME IF THIS IS THE CORRECT WAY TO FIND THE ANGLE OF... sec theta=2 To find the angle do you set it up like this?? 1/(cos^1)(2)

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

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

trigonometry
Find the solutions to the following equation on the interval (inf, +inf). Round your answer to the nearest ten thousandth. Enter answers in increasing order. 5) sqrt3 sec theta + sec theta cot theta = 0

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))

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 *

Precalc PLEASE HELP!
Calculate the exact values of the cot(theta) and sin(theta) for the acute angle theta if sec(theta)= the square root of 6. Thank you so much!

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

PreCalc
if (0,7) lies on the terminal side of angle theta in standard position, find each value sec(theta) , cot(theta) and sin(theta)

math
write each expression in terms of sine and cosine: csc^3 theta/cot theta * tan^2 theta/sec^2 theta

Trig
Let (theta) be an angle in quadrant II such that sec(theta) 4/3 . Find the exact values of cot (theta) and sin (theta).

math
a sec theta + b tan theta =c and p sec theta + q sec theta = r then eliminate theta

trig
how do you find algebraically the measure of the obtuse angle, to the nearest degree, that satisfies the equation 3 sec theta = 5 is it sec theta = 5/3 and then cos 1 (5/8) = 0.4

Calculus
Interval 4sec(theta)(sec(theta)+tan(theta))d(theta) can someone help me start his problem?

Calculus
sec theta 5 need to find cos theta cot theta cot (90theta) sin theta not sure what to do completely confused on this stuff

math
How to solve for delta using trig functions? i.e. cosine sine tangent secant Thank you I'm not sure what delta you're referring to. Could you please elaborate some for us. What is it you're trying to do with the trig funtions? the problem is.. limit sec

Math
1)Use the definitions sin0(theta) = y/r, cos0(theta) = x/r and/or tan0(theta) = y/x to prove that cot0(theta) = 1/tan0(theta) 2)For all 0(theta) prove: a)cos(t) = 1/sec0(theta) b. sec(t) = 1/cos0(theta)

help help helppppmath
1)Use the definitions sin0(theta) = y/r, cos0(theta) = x/r and/or tan0(theta) = y/x to prove that cot0(theta) = 1/tan0(theta) 2)For all 0(theta) prove: a)cos(t) = 1/sec0(theta) b. sec(t) = 1/cos0(theta)

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

Calculus 1A
I am trying to find: dy/dx for y = sec(tan x) I have the answer, but I have no idea how to get there. I know that the derivative of sec x = sec x tan x and that the derivative of tan x is sec^2 x. But sec doesn't have an x, so ...?

trig
(sec theta + cosec theta) (sin theta +cos theta) = 2 + sec theta cosec theta

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

Calculus (fixed the typo )
A line rotates in a horizontal plane according to the equation theta=2t^3 6t,where theta is the angular position of the rotating line, in radians ,and t is the time,in seconds. Determine the angular acceleration when t=2sec. A.) 6 radians per sec^2 B.) 12

Calculus
How do I find the critical values? y= 4/x + tan(πx/8) What I did is I simplified it to y= 4x^1 + tan(πx/8) then I took the derivative y'= 4x^2 + (π/8)(sec(πx/8))^2 Then I simplied it y'= 4/x^2 + (π/8)(sec(πx/8))^2 then I found a common denomiator

Algebra II
Verify that (sec theta/sin theta)(cot theta/csc theta) = csc theta is an identity. Thanks

Trig.
I'm trouble solving for theta. Any help is appreciated. 0.73377324 = sin(theta)/cos(theta)

Math
Officer Weihe is in a patrol car sitting 25ft from the highway and observes Jacob in his car approaching. At a particular instant, t seconds, Jacob is x feet down the highway. The line of sight to Jacob makes an angle of theta radians to a perpendicular to

math
Evaluate the integral upper limit 7pi/4 and lower limit 5pi/4 of 10 csc theta cot theta dtheta

calculas 2
Find the volume bounded by r=22cos theta and r=6cos theta Would this be right 1/2 ∫ [5π/3,π/3] ((6cos theta)^2  (22cos theta)^2) dtheta

Math
if sin theta =1/2 and cos theta= √(3)/2. find tha values of tan theta, cot theta and csc. This question didn't ask for sec, but i am just curious what the answer for sec, can someone show me the answer for sec

Calculus
Two sides of a triangle have constant lengths a and b, and the angle between them is theta. What value of theta will maximize the area of the triangle? so far i have the formula and the derivative. A=.5absin(theta) A'=.5abcos(theta) then i set the

Math
An angle theta satisfies the relation (csc theta)(cos theta)=1 Give an example of information needed to determine a unique value for theta If sec theta is known to be negative, what is the csc theta value of 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.

PreCalc/Math
if (0,7) lies on the terminal side of angle theta in standard position, find each value sec(theta) , cot(theta) and sin(theta)

trig
sin(theta)cos(theta)sec(theta)csc(theta) How do I simplify

Calculus
Differentiate to find critical numbers and leave function in fully factored form. g(x) = (x^2+1)^5(x^2+2)^6 g'(x) = (x^2+1)^5[6(x^2+2)^5(2x)] + (x^2+2)^6[5(x^2+1)^4(2x)] g'(x) = 2x(x^2+1)^4(x^2+2)^5[6(x^2+2)(2x) + 5(x^2+1)(2x)] g'(x) =

trig
what is the correct answer in proving trigonometric identities if tan theta / sin theta = sec theta

trig
what is the correct answer in proving trigonometric identities if tan theta/sin theta = sec theta