Find all solutions for the equations Give exact solutions wh

Find all solutions for the equations. Give exact solutions when possible. Use your calculator if necessary rounding to 3 decimal places.

cos(2x) = sin(2x)

squaring both sides

cos²(2x) = sin²(2x)

cos²(2x) = 1- cos²(2x) ( cos²x + sin²x = 1)

1 = 2*cos²(2x)

cos²(2x) = 1 / 2

cos(2x) = 1/2^1/2

cos(2x) = cos( pi/4)

[ when cos x = cos y . then x = 2*n*pi +_ y , where n = 0,1.2-------------------)

2x = 2*n*pi +_ pi/4

x = n*pi +_ pi / 8 n = 0,1,2,3------------------------