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kassandratb
 3 years ago
find all solutions of sin^2theta=cos^2theta
kassandratb
 3 years ago
find all solutions of sin^2theta=cos^2theta

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mathstudent55
 3 years ago
Best ResponseYou've already chosen the best response.0dw:1359396748498:dw

kassandratb
 3 years ago
Best ResponseYou've already chosen the best response.0what do i do one i've done this

JamesJ
 3 years ago
Best ResponseYou've already chosen the best response.1Well, remember that cos(2x) = cos^2 x  sin^2 x So if cos^2 x = sin^2 x then cos^2 x  sin^2 x = 0 or cos(2x) = 0 Can you take it from here?

kassandratb
 3 years ago
Best ResponseYou've already chosen the best response.0when I do this : cos^2xsin^2x=0 cos(2x)=0 cosx=0 x=pi, 2pi, +2k ?

kassandratb
 3 years ago
Best ResponseYou've already chosen the best response.0JamesJ i feel like i did this wrong

mathstudent55
 3 years ago
Best ResponseYou've already chosen the best response.0dw:1359397774601:dw

Mertsj
 3 years ago
Best ResponseYou've already chosen the best response.0You need to make a substitution. Replace sin^2 theta with 1  cos^2 theta or replace cos^2 theta with 1sin^2 theta.

JamesJ
 3 years ago
Best ResponseYou've already chosen the best response.1If cos(2x) = 0 then 2x = pi/2 + k.pi, for any integer k. Hence x = pi/4 + k.pi/2, for any integer k.

JamesJ
 3 years ago
Best ResponseYou've already chosen the best response.1You can see those solutions on this graph as well.

Mertsj
 3 years ago
Best ResponseYou've already chosen the best response.0\[\sin^2\theta =1\sin ^2\theta \] \[2\sin ^2\theta =1\] \[\sin^2\theta =\frac{1}{2}\] \[\sin \theta = \pm \frac{\sqrt{2}}{2}\] \[\theta = \frac{\pi}{4}, \frac{3\pi}{4}, \frac{5\pi}{4}, \frac{7\pi}{4} + 2\pi n\]

kassandratb
 3 years ago
Best ResponseYou've already chosen the best response.0Thank you all it's starting to make a lot more since to me now so I just gotta know my identities?
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