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In triangle ABC, if C = 90°. So choose the correct option.
Question

In triangle ABC, if C = 90°. So choose the correct option.

A.

Sin A = Sin B

B.

Sin A = -Sin B

C.

Sin A = Cos B

D.

Sin A = -Cos B

Correct option is C

Given:

In triangle ABC, if C = 90°.

Formula Used:

Using trigonometric identities:
sin(90° - θ\theta​) = cos θ\theta

cos(90° - θ\theta​) = sin θ\theta

Solution:

In a right-angled triangle:

The sum of the angles in a triangle is 180°. Since C = 90°, we have:

A + B = 90°

B = 90° - A.

Since B = 90° - A,

sinB=sin(90A)=cosA\sin B = \sin(90^\circ - A) = \cos A​​

sinB=cosA\sin B = \cos A

Thus, the correct answer is (c).

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