If cos h x = 14 3 , sin h x = cos θ and - π θ - π 2 , then sin θ =

Question

If cos h x = 14 3 , sin h x = cos θ and - π θ - π 2 , then sin θ =, 1 3, 2 3, - 1 3, - 2 3

MARKS App · Accepted Answer

Given that cos h x = 14 3 sin h 2 x = cos h 2 x - 1 = 14 9 - 1 = 5 9 sin h x = 5 3 = cos θ ∴ cos θ = 5 3 sin 2 θ = 1 - cos 2 θ = 1 - 5 9 = 4 9 ∴ sin θ = ± 2 3 Given that θ lies in III quadrant. ∴ sin θ = - 2 3

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