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Sign of Trigonometric Ratios in Different Quadrants

If sin θ =-4/...

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If sin θ =-4/5 and θ lies in 3rd quadrant then cos theta/2 = Options:-1/sqrt5

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θ

3 r d

\sqrt{4 {sin}^{4} θ + {sin}^{2} 2 θ} + 4 {cos}^{2} (\frac{π}{4} - \frac{θ}{2})

θ

lies in the first quadrant and

5 tan θ = 4,

\frac{5 sin θ - 3 cos θ}{sin θ + 2 cos θ} =

θ

lies in first quadrant and

5 tan θ = 4

, then the value of

\frac{5 sin θ - 3 cos θ}{sin θ + 2 cos θ}

θ

lies in first quadrant and

5 tan θ = 4

, then the value of

\frac{5 sin θ - 3 cos θ}{sin θ + 2 cos θ}

θ

lies in the third quadrant, then the expression

\sqrt{(4 {sin}^{4} θ + {sin}^{2} 2 θ)} + 4 {cos}^{2} (\frac{1}{4} π - \frac{1}{2} θ)

2.

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Sign of Trigonometric Ratios in Different Quadrants

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