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?

  1. 👍
  2. 👎
  3. 👁
  1. sin(Θ) = -8/9 = y/r

    x = √(r^2 - y^2) = √17

    sec(Θ) = r / x

    cot(Θ) = x / y

    1. 👍
    2. 👎
  2. third leg along x axis is sqrt (81-64) =sqrt (17)
    so
    x = sqrt (17)
    y = -8
    hypotenuse = 9
    cos = sqrt (17) / 9
    so sec = 1/cos = 9/sqrt 17
    cot = sqrt (17) / -8

    1. 👍
    2. 👎
    👤
    Damon

Respond to this Question

First Name

Your Response

Similar Questions

  1. Trigonometry

    State the quadrant in which theta lies. sin(theta) > 0 and cos(theta) > 0 How can I determine this? Please explain.

  2. Maths: Partial Differentiation

    1) If x = rcos theta and y = r sin theta, show that partial r / partial x = cos theta and find partial theta / partial x. 2) If z = sin theta.sin phi.sin gamma, and z is calculated for the values theta = 30degrees, phi = 45

  3. trig

    write sec theta in terms of sin theta when theta lies in quadrant III

  4. 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)

  1. 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.)

  2. 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.

  3. trig

    Let (theta) be an angle in quadrant II such that csc(theta)=8/5 Find the exact value of tan(theta) and cos(theta).

  4. 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).

  1. 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

  2. Pre-Calculus-check answers

    If cos theta = 0.8 and 270

  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. trig

    Given that sin theta= 3/5 and the terminal side is in quadrant II, find tan (pi/2 - theta)

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