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The general value of θ satisfying both sinθ = -1/2 and tanθ = 1/θ = 1/√3 is

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in Trigonometry by (53.3k points)

The general value of θ satisfying both sinθ = -1/2 and tanθ = 1/θ = 1/√3 is

(a)   2nπ

(b)  2nπ + 7π/6

(c)  nπ + π/4

(d)  2nπ + π/4

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1 Answer

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Best answer

Correct option (b)  2nπ + 7π/6

Let us first find out θ lying between 0° and 360°. Since,

Hence, θ = 210° or 7π/6 is the value satisfying both.

Therefore, the general value of θ = (2nπ + 7π/6),n∈I

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