Question

Find all angles θ between 0° and 180° satisfying the given equation. round your answer to one decimal place. (enter your answers as a comma-separated list.) tan(θ) = −21

Answer 1

θ= 92.73°

Explanation:

Answer 2

Alright, lets get started.

tan Ф = -21

Using inverse function,

Ф =
`tan^(-1) (-21)`

Using calculator, we could find ta inverse value

Ф = - 87.3°

But as per given question, angle must lie between 0 and 180 degrees.

Means angle should present in first or second quadrant.

As tan value is given negative (-21), means angle will be in second quadrant.

If we add 180 degrees in our angle, the angle will lie in second quadrant. (refer the diagram)

Ф = - 87.27 + 180 = 92.73°

Ф = 92.73° : Answer

Hope it will help :)