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Find the value of πsin-1(cos(33π5)). - Mathematics

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प्रश्न

Find the value of `sin^-1(cos((33π)/5))`.

योग
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उत्तर

`sin^-1(cos((33π)/5))`

= `sin^-1 cos(6π + (3π)/5)`

= `sin^-1 cos((3π)/5)`

= `sin^-1 sin(π/2 - (3π)/5)`

= `π/2 - (3π)/5`

= `-π/10`.

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