Trigonometry Practice Test 2

Question : 20 of 22

Marks: +1, -0

If the angle θ is in the third quadrant and tan θ = 3, then the value of sin θ is:

Solution:

θ is in the third quadrant,
⇒ sin θ < 0.
Thus

\sin θ = - \tan θ/√(1 + \tan^2 θ)

= - 3/√(10)

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