Question

Which of the following is equal to angle C?
A.cos (a/c)
B.sin (a/c)
C. tan^-1 (c/a)
D. cos^-1 (c/a)

Answer 1

tangent = opposite/adjective
tan(C) = c/a
We can use an inverse ratio to find the measure of <C.
C = tan^-1(c/a)

Answer 2

tan(C)=O/A=c/a

Therefore:

C=tan⁻¹(c/a)

So your answer is C.