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cos{cos^(- 1)((-sqrt(3))/2)+pi/6}...

`cos{cos^(- 1)((-sqrt(3))/2)+pi/6}`

Text Solution

Verified by Experts

The correct Answer is:
`-1`
`cos^(-1)(-sqrt(3))/(2))=theta rArr costheta=-sqrt(3)/2 = -cospi/6=cos(pi-pi/6)=cos(5pi)/6 rArr theta=(5pi)/6`.
`therefore` given expression `=cos((5pi)/6+pi/6)=cospi=-1`.
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