Answer:
sin(H)=0.91
Step-by-step explanation:
The question is
Right triangle FHG is shown. The cosine of ∠F is 0.91. What is the sine of ∠H?
The triangle FHG is a right triangle
we know that
If two angles are complementary, the co-function identities state that the sine of one equals the cosine of the other and vice versa
In this problem
∠F and ∠H are complementary angles (their sum is equal to 90 degrees)
so
sin(H)=cos(F)
sin(F)=cos(H)
we have
cos(F)=0.91
therefore
sin(H)=0.91
