For each of the following find all solutions in the interval

For each of the following, find all solutions in the interval [0, 2 pi). Give all answers correct to.01 radians. If there is no solution, enter NONE.

a)cos(2x -(pi/4))=0

0<=x<2pi

0<=2x<4pi

2x -(pi/4)=pi/2, 3pi/2 ,5pi/2 ,7pi/2

x -(pi/8)=(pi/4), (3pi/4) ,(5pi/4),(7pi/4)

x =(pi/8)+(pi/4), (pi/8)+(3pi/4) ,(pi/8)+(5pi/4),(pi/8)+(7pi/4)

x =1.18,2.75,4,32,5.89

b)2-8cos²x =0

cos²x =1/4

cosx =-1/2,cosx =1/2

x=pi/3,2pi/3,4pi/3,5pi/3

x=1.05,2.09,4.19,5.24

c)2sin²x=1-sinx

2sin²x+sinx-1=0

2sin²x+2sinx-sinx-1=0

2sin(sinx+1)-1(sinx+1)=0

(sinx+1)(2sinx-1)=0

sinx =-1, sinx =1/2

x=pi/6 ,5pi/6 , 3pi/2

x=0.52,2.62,4.71

d)tan²xsinx =sinx

sinx(tan²x-1)=0

sinx=0, tanx=-1,tanx=1

x=0,pi/4,3pi/4,pi,5pi/4,7pi/4

x=0,0.79,2.36,3.14,3.93,5.50