Question

In the following problems the values of sin(θ)and cos(θ)are given. Determine the value of tan(θ).

Answer 1

Answer:

a) ≈ 0.1

b) ≈ 0.2

c) ≈ 0.9

Step-by-step explanation:

GIVEN :-

• Values of sinθ & cosθ

TO FIND :-

• Value of tanθ

FACTS TO KNOW BEFORE SOLVING :-

• $\tan \theta = \frac{\sin \theta}{\cos \theta}$

SOLUTION :-

a) $\tan \theta = \frac{\sin \theta}{\cos \theta} = \frac{0.1}{0.995}$ ≈ 0.1

b) $\tan \theta = \frac{\sin \theta}{\cos \theta} = \frac{-0.158}{-0.987} = 0.16 (appx)$ ≈ 0.2

c) $\tan \theta = \frac{\sin \theta}{\cos \theta} = \frac{0.631}{0.776} = 0.81 (appx)$ ≈ 0.9