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From the following options, the value of $cos 53 ° sin 37 °$ is:

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sin 53 °

cos 37 °

answer is C.

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Detailed Solution

It is given that,

cos 53 ° sin 37 °

.
We know that, the complementary formula for

sin θ

is:

sin (90 ° − θ) = cos θ

.
Convert

sin θ

into

cos θ

trigonometric function.

⇒ cos 53 ° sin 37 ° = cos 53 ° cos (90 ° − 37 °)

⇒ cos 53 ° sin 37 ° = cos 53 ° cos 53 ° ⇒ cos 53 ° sin 37 ° = 1

Thus,

cos 53 ° sin 37 ° = 1

.
Hence, option 3) is correct.

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