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Taking only principal values, the values...

Taking only principal values, the values of `cos^(-1)(-1/2)+sin^(-1)(-sqrt(3)/2)` is equal to

Text Solution

Verified by Experts

Here, we will use,
`cos^-1(-x) = pi - cos^-1x`
`sin^-1(-x) = -sin^-1x`

Now, `cos^-1(-1/2) + sin^-1(-sqrt3/2)`
`=pi - cos^-1(1/2) +(-sin^-1(sqrt3/2))`
`=pi - pi/3 - pi/3 = pi - (2pi)/3 = pi/3`
`:. cos^-1(-1/2) + sin^-1(-sqrt3/2) = pi/3`
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