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प्रश्न
The principal value of `cos^-1(1/2) + sin^-1(-1/sqrt(2))` is ______.
पर्याय
`π/12`
π
`π/3`
`π/6`
MCQ
रिकाम्या जागा भरा
उत्तर
The principal value of `cos^-1(1/2) + sin^-1(-1/sqrt(2))` is `underlinebb(π/12)`.
Explanation:
`cos^-1(1/2) + sin^-1((-1)/sqrt(2))`
= `cos^-1(cos π/3) - sin^-1(1/sqrt(2))`
= `π/3 - sin^-1(sin π/4)`
= `π/3 - π/4`
= `π/12`
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