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From the following options, find the value of $cos 59 ° sin 31 °$ .

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sin 59 °

cos 31 °

answer is C.

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Detailed Solution

Given that,

cos 59 ° sin 31 °

.
We know that, the complementary formula for

sin θ

sin (90 ° − θ) = cos θ

.
Convert

sin θ

into

cos θ

trigonometric function.

⇒ cos 59 ° sin 31 ° = cos 59 ° cos (90 ° − 31 °)

⇒ cos 59 ° sin 31 ° = cos 59 ° cos 59 ° ⇒ cos 59 ° sin 31 ° = 1

Therefore, the value of

cos 59 ° sin 31 °

is 1.
Hence, option 3) is correct.

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