MATH SOLVE

4 months ago

Q:
# Select the correct answer from the drop-down menu.In the figure, mBm4C and 2D is a right angle.cos B=sin A>ResetNextsin DO

Accepted Solution

A:

Answer:sin (A)Explanation:In the given figure the "hidden" vertex of the larger triangle is A.Since, angle D is a right angle, both triangles BDC and CDE are right triangles (and they are also similar).Since angle B and angle C have the same measure and angle D measures 90° (right angle), angle A and angle C are complementary, i.e.∠ C + ∠ A = 90°For complementary angles, the sine of one acute angle equals the cosine of the other acute angle.So, the sine of angle C is equal to the cosine of angle B, i.e. cos (B) = sin (A).