Question

choose the correct ratio. sin⁻¹(12/29) tan⁻¹(12/29) cos⁻¹(12/29) tan⁻¹(29/12)

Explanation:

Step1: Recall tangent - ratio definition

In a right - triangle, $\tan\theta=\frac{\text{opposite}}{\text{adjacent}}$. Here, for the angle $x$, the side opposite to $x$ has length 12 and the side adjacent to $x$ has length 29. So, $\tan x=\frac{12}{29}$, then $x = \tan^{-1}(\frac{12}{29})$.

Answer:

B. $\tan^{-1}(12/29)$