SOLUTION: 1.Interval 0 is less than or equal to x which is less than or equal to 2pie. Solution of cos squaredx = cos x 2. Exspress as a single fraction,the exact value of sin 75�

Question 606095: 1.Interval 0 is less than or equal to x which is less than or equal to 2pie. Solution of cos squaredx = cos x
2. Exspress as a single fraction,the exact value of sin 75�
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
For 0 < x < 2π
cos^2x=cosx
cos^2x-cosx=0
cosx(cosx-1)=0
cosx=0
x=π/2 and 3π/2
..
cosx-1=0
cosx=1
x=0
ans:
x=0, π/2, and 3π/2
2. Express as a single fraction,the exact value of sin 75�
Using sin addition formula:
sin 75=sin(30+45)
=sin30cos45+cos30sin45
=1/2*√2/2+√3/2*√2/2
=√2/4+√6/4
=(√2+√6)/4

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