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प्रश्न
For the principal value, evaluate of the following:
`cos^-1 1/2 + 2 sin^-1 (1/2)`
Evaluate: `cos^-1 (1/2) + 2 sin^-1 (1/2)`
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उत्तर
cos–1 (cos x) = x
sin–1 (sin x) = x
`cos^-1 1/2 + 2sin^-1 (1/2)`
= `cos^-1 (cos π/3) + 2 sin^-1 (sin π/6)`
= `π/3 + 2(π/6)`
= `(2π)/3`
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