Question

Are tan D and tan F ____.

a. complementary
b. supplementary
c. congruent
d. reciprocals

Answer 1

Answer: Reciprocals

Reason:

tan = opposite/adjacent

tan(D) = EF/DE = d/f

tan(F) = DE/EF = f/d

Comparing d/f with f/d, and we find they are reciprocals. The two fractions multiply to 1.