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From the following options, find the value of $cos 29 ° sin 61 °$ .

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sin 29 °

cos 61 °

answer is C.

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JEE

NEET

Foundation JEE

Foundation NEET

CBSE

Detailed Solution

Given that,

cos 29 ° sin 61 °

.
We know that, the complementary formula for

sin θ

is:

sin (90 ° − θ) = cos θ

Convert

sin θ

into

cos θ

trigonometric function.

⇒ cos 29 ° sin 61 ° = cos 29 ° cos (90 ° − 61 °)

⇒ cos 29 ° sin 61 ° = cos 29 ° cos 29 ° ⇒ cos 29 ° sin 61 ° = 1

Thus,

cos 29 ° sin 61 ° = 1

.
Hence, option 3) is correct.

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