If cos θ = t (0 < t < 1) and θ does not lie in the first quadrant, find the values ofa. sin θb. tan θ
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Answered by
66
Answer:
1.sinθ = - √1 - t²
2. tanθ = - √1 - t²/ t
Step-by-step explanation:
Given : cosθ = t
since cos θ is positive, θ lies in 4 th quadrant.
Now,
1.
sin²θ = 1 - cos²θ
sin²θ = 1 - t²
sinθ = ± √1 - t²
Since θ lies in 4 th quadrant , sin θ is
negative
sinθ = - √1 - t²
2. tanθ = sinθ /cos θ
= - √1 - t²/ t
I hope this answer helps you
Answered by
27
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