Question

What statement is true?

In any right triangle, the sine of one acute angle is equal to the cosine of the other acute angle.

In any right triangle, the sine of one acute angle is equal to the sine of its complementary angle.

In any right triangle, the cosine of one acute angle is equal to the cosine of its complementary angle.

In any right triangle, the sum of the sine of one acute angle and the cosine of the other acute angle is 1.

Answer 1

(A) because a right angle is 90 degrees and has a equal eqivalent to get to 100

Answer 2

Option A is true

Explanation:

Consider a right triangle ABC right angled at B.

Then we have A+C=90 since sum of all 3 angles =180

A and C are complementary

A has opposite side as BC and hypotenuse as AB

sin A = BC/AB

Consider angle B.

B has adjacent side as BC and hypotenuse as AB

So cos B = BC/AB

i.e. sin A = cos B

Hence we have option A to be true.