In a right triangle, the sine of one acute angle is equal to the ________ of the other acute angle.

We will use the concepts of trigonometry and right-angled triangle to find the required answer.

Answer: In a right triangle, the sine of one acute angle is equal to the cos of the other acute angle.

Let us see how we will use the concept of trigonometry and the right-angled triangle to find the required answer.

Explanation:

We know that sum of all angles in a triangle is 180 degrees.

Let us consider a right-angled triangle with angles A, B, and 90 degrees.

By angle sum property of triangle, A + B + 90  = 180 

A + B = 90

Hence, B = 90 - A

Now, it is asked that sin (A) = ________ of B.

cos (B) = cos (90 - A) = sin (A)

Hence, in a right triangle, the sine of one acute angle is equal to the cos of the other acute angle.