Question

Identify the correct inverse trigonometric function to use to solve for the given angle

Answer 1

Answer : Option D

Explanation

Considering the given triangle :

GIVEN :

• Opposite side to angle = 34

,

• Adjacent side to angle = 48

,

• We will use Tan = opposite /adjacent trigonometric fuction tocalculate angle

CALCULATIONS:

$\begin{gathered} \tan\theta\text{ = opposite /adjacent } \\ \text{ }\tan\theta\text{ = }\frac{34}{48} \\ \Rightarrow\theta\text{ = }\tan^{-1}(\frac{34}{48}) \\ \therefore\text{ }\theta\text{ = }\tan^{-1}(0.71)\text{ } \end{gathered}$

Therefore , = tan^-1( 0.71)