3 cos- -cos 3-3 sin- -sin 3-

The correct option is C ^3θ 3 #160; cos #160;θ +cos #160;3θ3 sin #160;θ sin #160; #160;3θ =3 #160; cos #160;θ +4 #160; cos^3θ ...

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Sum of Trigonometric Ratios in Terms of Their Product

3 cosθ +cos 3...

Question

$\frac{3 cos θ + cos 3 θ}{3 sin θ - sin 3 θ} =$

1 + {cot}^{2} θ

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{cot}^{4} θ

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{cot}^{3} θ

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2 cot θ

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Solution

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Similar questions

x = 3 cos θ - cos 3 θ

y = 3 sin θ - sin 3 θ,

\frac{d y}{d x}

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

\frac{3 sin θ - sin 3 θ}{1 + cos θ} + \frac{3 cos θ + cos 3 θ}{1 - sin θ} = 4 \sqrt{2} cos (θ + \frac{π}{4})

\frac{{sin}^{3} θ - {cos}^{3} θ}{sin θ - cos θ} - \frac{cos θ}{\sqrt{1 + {cot}^{2} θ}} - 2 tan θ cot θ = - 1

θ = 30^{\circ}

(i) s i n 3 θ = 3 s i n θ - 4 s i n^{3} θ

(i i) c o s 3 θ = 4 c o s^{3} θ - 3 c o s θ

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