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प्रश्न
The value of the expression `2 sec^-1 2 + sin^-1 (1/2)` is ______.
विकल्प
`pi/6`
`(5pi)/6`
`(7pi)/6`
1
उत्तर
The value of the expression `2 sec^-1 2 + sin^-1 (1/2)` is `(5pi)/6`.
Explanation:
`2 sec^-1 2 + sin^-1 1/2 = 2sec^-1 (sec pi/3) + sin^-1 (sin pi/6)`
= `2 * pi/3 + pi/6`
= `(2pi)/3 + pi/6`
= `(5pi)/6`
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