Asked by Anonymous

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


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sin^2x = 1 = cos^2x
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Work:
cos^2x - cos^2x = 0
0 = 0


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Textbook Answers:
90 and 270
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Btw, how would you isolate for cos^2x = 0? Would it be...
x = cos^-1 square root of _____ ?

Answers

Answered by Michael
Should this be...

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

Your equation has two equal signs.
Answered by Anonymous
Yeah it should be, sorry for the typo
Answered by 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.
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