Find all angles θ between 0° and 180° satisfying the given equation. round your answer to one decimal place. (enter your answers

Question

3 years ago

6

as a comma-separated list.) tan(θ) = −21

1 answer:

scoray [572] · Answer 1 · 2022-04-14T18:30:54+03:00

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 :)