Multiple choice

In right angled $ \triangle ABC, \angle B = 90^{\circ}$ and $\angle A = \theta$, then $\cos (90 - \theta) = $

  1. $\sin \theta$
  2. $\tan \theta$
  3. $\cot \theta$

  4. None of above
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A Correct answer
Explanation

In a right triangle, the sum of angles is 180 degrees. Since angle B is 90, angle A + angle C = 90. Therefore, angle C = 90 - A = 90 - theta. By definition, cos(C) = sin(A) = sin(theta).

AI explanation

Using the trigonometric identity for complementary angles, we know that cos (90 degrees minus theta) is equal to sin theta. Therefore, the value of the given expression is sin theta.

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