Question

analyzing cofunctions consider △abc what are the angles that make the trigonometric statements true? sin( ) = cos(b) sin a b c

Explanation:

Step1: Recall co - function identity

In a right - triangle, $\sin(A)=\cos(B)$ if $A + B=90^{\circ}$ (complementary angles). In $\triangle ABC$, if it is a right - triangle, the co - function identity holds. The co - function relationship for sine and cosine is $\sin\theta=\cos(90^{\circ}-\theta)$.

Step2: Determine the angle

In a right - triangle, the two non - right angles are complementary. So, $\sin(A)=\cos(B)$ when $\angle A+\angle B = 90^{\circ}$.

Answer:

$A$