MATH SOLVE

7 months ago

Q:
# Which relationship in the triangle must be true? sin B=sin A sin B=cos 90-B cos B=sin 180-B cos B=cos A

Accepted Solution

A:

Answer:sin(B)=cos(90°-B)Step-by-step explanation:we know thatIn the right triangle of the figuresin(B)=b/c -----> The sine of angle B is equal to divide the opposite side to angle B by the hypotenusecos(A)=b/c -----> The cosine of angle A is equal to divide the adjacent side to angle A by the hypotenusewe have thatsin(B)=cos(A)Remember thatA+B=90° -----> by complementary anglessoA=90°-Bthereforesin(B)=cos(A)sin(B)=cos(90°-B)