You can put this solution on YOUR website! Solve sin (2x) + cos (2x) = 0
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sin (2x) = -cos (2x)
Square both sides
sin^2(2x) = cos^2(2x) = 1 - sin^2(2x)
sin^2(2x) = 1 - sin^2(2x)
2sin^2(2x) = 1
sin^2(2x) = 1/2
Can you do the rest?
sin (2x) + cos (2x) = 0 ---> sin(2x) = - cos(2x) ---> tan(2x) = -1 --->
2x = and/or 2x = .
1. If 2x = then there are two answers for x:
a) x = and x = .
2. If 2x = then there are two answers for x:
a) x = and x = .
Answer. There are 4 solutions:
x = ; x = ; x = ; x = .
