Posted by Anonymous on .
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

Work:
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 _____ ?

Math  Solving Trig Equations 
Michael,
Should this be...
sin^2x  1 = cos^2x ??
Your equation has two equal signs. 
Math  Solving Trig Equations 
Anonymous,
Yeah it should be, sorry for the typo

Math  Solving Trig Equations 
Michael,
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.