Question

what angle measurement will make the value of sine and cosine equal? a 30° b 45° c 60° d 90°

Explanation:

Step1: Recall trigonometric identities in right - triangle

In a right - triangle \(ABC\) with \(\angle C = 90^{\circ}\), \(\sin\alpha=\frac{BC}{AB}\) and \(\cos\beta=\frac{BC}{AB}\) (where \(\alpha+\beta = 90^{\circ}\)).

Answer:

C. \(\sin\alpha=\cos\beta\)