Find the values of the trigonometric function cot -8/17


I know you use a Pythagorean Identity, sin^2t + cos^2t=1

I got 64/289 for the first one for example and it was wrong.

  1. 👍
  2. 👎
  3. 👁
  1. Your terminology is awful

    cot - 8/17 is meaningless

    I will assume you were given cot Ø = -8/17 and are asked to find the remaining 5 trig ratios

    if cot Ø = -8/17, then tan Ø = -17/8

    you should also have memorized the 3 main trig functions in terms of x, y, and r
    e.g. tan Ø = y/x = -17/8 ---> terminal point (8, -17)
    tan Ø = y/x = 17/-8 ----> terminal point (-8,17)

    From the CAST rule we know that Ø must be either in quadrants II or IV , as seen from the position of the terminal arm points.
    so make appropriate sketches showing right-angled triangles .

    x^2 + y^2 = r^2 , taking one of the points
    r^2 = 8^2 + (-17)^2
    r^2 = 353
    r = √353 , (r is always positive)

    sinØ = y/r = 17/√353 or sinØ = 17/√353
    cosØ = ±8/√353 so
    secØ = ± √353/8
    etc using the basic definitions.

    Let me know if my assumption was not correct

    1. 👍
    2. 👎

Respond to this Question

First Name

Your Response

Similar Questions

  1. math

    Find the values of the trigonometric functions of t from the given information. tan(t) =1/9 terminal point of t is in Quadrant III sin(t)= cos(t)= csc(t)= sec(t)= cot(t)=

  2. trig

    The terminal side of θ lies on a given line in the specified quadrant. Find the values of the six trigonometric functions of θ by finding a point on the line. Line: (55/48)x Quadrant:III sin(θ)= cos(θ)= tan(θ)= csc(θ)=

  3. Trig

    Find the exact values of the six trigonometric functions 0 if the terminal side of 0 in standard position contains the points(-5,-4). (0 is not the number zero I don't know what its called) I have to find r first. r=sqrt x^2+y^2

  4. Math

    Find the values of the six trigonometric functions of θ. (If an answer is undefined, enter UNDEFINED.) Function Value: csc(θ) = 4 Constraint: cot(θ) < 0 1) sin(θ)= 2) cos(θ)= 3) tan(θ)= 4) csc(θ)= 5) sec(θ)= 6) cot(θ)=

  1. math

    Sketch a right triangle corresponding to the trigonometric function of the acute angle θ. Use the Pythagorean Theorem to determine the third side and then find the other five trigonometric functions of θ. cot(θ) = 3 sin(θ)=

  2. 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.)

  3. 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

  4. math

    use the quotient and reciprocal identities to simplify the given expression cot t sin t csc t sin t tan t cot t cot t sec t

  1. math - trig

    Suppose ABC is a right triangle with sides of lengths a, b, and c and right angle at C. Find the unknown side length using the Pythagorean Theorem and find the following trigonometric functions of the indicated angle. Given: a = 4

  2. 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

  3. Math

    Factorthen use fundamental identities to simplify the expression below and determine which of the following is not equivalent cot^2 a * tan^2 a + cot^2 a A. csc^ 2 alpha B.1/ sin^ 2 alpha C.1/ 1-cos^ 2 alpha D.sec^ 2 alpha

  4. trig

    Find the remaining trigonometric ratios of θ if sin(θ) = -1/6 and θ is not in QIII cos tan cot csc sec

You can view more similar questions or ask a new question.