SOLUTION: Hi.. Pls help me!! The question is: What are the solutions to (Sin x+ cos x)^2=2 Please explain .... The answer has to be in radian.. Thanks!!

Algebra ->  Trigonometry-basics -> SOLUTION: Hi.. Pls help me!! The question is: What are the solutions to (Sin x+ cos x)^2=2 Please explain .... The answer has to be in radian.. Thanks!!      Log On


   

Question 737735: Hi.. Pls help me!!
The question is:
What are the solutions to
(Sin x+ cos x)^2=2
Please explain .... The answer has to be in radian..
Thanks!!
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
(Sin x+ cos x)^2=2
sin^2(x)+cos^2(x)+2sinxcosx=2
1+2sinx cosx=2
2sinx cos x=1
sin(2x) =1/2
Sin theta=1/2 => theta+=+pi%2F6
2x=+pi%2F6
x=pi%2F12