Question

20. what is the missing value to the nearest hundredth

tan _ = 15

• 0.97°
• 0.27°
• 88.09°
• 86.19°

Answer 1

Answer:

86.19°

Step-by-step explanation:

Let x represent the missing value.

The given trigonometric equation becomes:

$\tan x=15$

We take the inverse tangent of both sides to obtain:

$\tan^{-1}(\tan x)=\tan^{-1}(15)$

This implies that;

$x=\tan^{-1}(15)$

We use at least a scientific calculator to evaluate this and obtain:

$x=86.18592517\degree$

To the nearest hundredth, the missing value is $x=86.19\degree$