Math - Solving Trig Equations

Solve each equation for o is less than and/or equal to theta is less than and/or equal to 360

sin^2x = 1 = cos^2x

cos^2x - cos^2x = 0
0 = 0

Textbook Answers:
90 and 270

Btw, how would you isolate for cos^2x = 0? Would it be...
x = cos^-1 square root of _____ ?

  1. 👍
  2. 👎
  3. 👁
  1. Should this be...

    sin^2x - 1 = cos^2x ??

    Your equation has two equal signs.

    1. 👍
    2. 👎
  2. Yeah it should be, sorry for the typo

    1. 👍
    2. 👎
  3. Hmm... that's tricky. I solved it one way (similar to your method), and it didn't work. Anyway, this works...

    (1) Subtract the cos^2(x) from both sides.
    (2) Substitute "1 - sin^2(x)" in for cos^2(x). That comes from the #1 Identity: sin^2(x) + cos^2(x) = 1.
    (3) Simplify and factor.

    You should get the right answer that way. Let me know if you run into any problems.

    1. 👍
    2. 👎

Respond to this Question

First Name

Your Response

Similar Questions

  1. 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)

  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. math

    solve the equation for the range zero degrees less than or equal to theta less than or equal to 360 degrees. 4 sin 0=-1

  4. Math

    Given any right triangle with an acute angle theta, a) Explain why csc theta is always greater than or equal to 1 b) Explain why cos theta is always less than or equal to 1

  1. 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

  2. Trig

    suppose tan theta equal 4 and theta lies in the third quadrant. find the values of sec theta

  3. trig

    what are the values of theta in the interval 0 degrees is lessthan or equal to theta is less than or equal to 360 degrees that satisfy the equation tan theta minus square root of 3 equals 0?

  4. Algebra2

    solve the equation cos theta - tan theta * cos theta = 0 for 0< theta < 2 pi My answer is pi/4,5pi/4

  1. Maths

    a) Express f(theta) = 4cos theta - 6sin theta in the form r cos(theta + alpha) b) Hence find the general solution of the equation 4cos theta - 6sin theta =5 c) Hence, find the minimum value of the function 1/4+f( theta)

  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

  3. Algebra

    I have some problems that I am having trouble with and I have some that need checking please. Thanks! Solve the equation. 4. (x+7/4)=2(x-1/6) Find all the value(s) of x that make thedenominator(s) zero. Then solve the equation. 6.

  4. 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!!

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