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The value of cos(1/2cos^(-1)(1/8)) is ...

The value of `cos(1/2cos^(-1)(1/8))` is (a)`3/4` (b) `-3/4` (c) `1/(16)` (d) `1/4`

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`cos(1/2cos^(-1)(1/8))`
`cos(1/2theta)`
`cos(theta/2)=3/4`
`cos^(-1)(1/8)=theta`
`costheta=1/8`
`2cos^2(theta/2)-1=1/8`
`2cos^2(theta/2)=1+1/8`
`2cos^2(theta/2)=9/8`
...
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