SOLUTION: 12) for x E[0,2pi), solve sin x = cos x a) pi/2 , 3pi/2 b) pi/4 , 5pi/4 c) pi/4 , 3pi/4 d) 3pi/4 , 7pi/4 e) None of these

Question 122526: 12) for x E[0,2pi), solve sin x = cos x

a) pi/2 , 3pi/2
b) pi/4 , 5pi/4
c) pi/4 , 3pi/4
d) 3pi/4 , 7pi/4
e) None of these

Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
# 12

Start with the given equation

Divide both sides by

Rewrite the left side using the identity

Take the arctangent of both sides to isolate x

or Take the arctangent of 1 to get or

--------------------------------

Answer:

So the solutions are

or

which means that the answer is B)
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