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

a. sin(θ)=0.1 and cos(θ)=0.995

tan(θ)=

b. sin(θ)=−0.158 and cos(θ)=−0.987

tan(θ)=

c. sin(θ)=−0.631and cos(θ)=0.776

tan(θ)=​

Respuesta :

Dead3ill

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 :-

  • [tex]\tan \theta = \frac{\sin \theta}{\cos \theta}[/tex]

SOLUTION :-

a) [tex]\tan \theta = \frac{\sin \theta}{\cos \theta} = \frac{0.1}{0.995}[/tex] ≈ 0.1

b) [tex]\tan \theta = \frac{\sin \theta}{\cos \theta} = \frac{-0.158}{-0.987} = 0.16 (appx)[/tex] ≈ 0.2

c) [tex]\tan \theta = \frac{\sin \theta}{\cos \theta} = \frac{0.631}{0.776} = 0.81 (appx)[/tex] ≈ 0.9