If 2 cos θ = √3, prove that 3 sin θ - 4 sin^3 θ = 1.

Question

KnowledgeBoat · Accepted Answer

Given, ⇒ 2 cos θ = ⇒ cos θ = Squaring both sides we get : ⇒ cos² θ = = . ⇒ 1 - sin² θ = . ⇒ sin² θ = . ⇒ sin² θ = . ⇒ sin² θ = . ⇒ sin θ = ⇒ sin θ = . Substituting values in L.H.S. of equation 3 sin θ - 4 sin³ θ = 1 we get : Since, L.H.S. = R.H.S. Hence, proved that 3sin θ - 4 sin³ θ = 1.

Mathematics

If 2 cos θ = √3, prove that 3 sin θ - 4 sin^3 θ = 1.

Trigonometrical Ratios

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Given 4 sin θ = 3 cos θ, find the values of :
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Mathematics

If 2 cos θ = √3, prove that 3 sin θ - 4 sin^3 θ = 1.

Trigonometrical Ratios

Related Questions

If q cos θ = p, find tan θ - cot θ in terms of p and q.

Given 4 sin θ = 3 cos θ, find the values of :(i) sin θ(ii) cos θ(iii) cot2 θ - cosec2 θ

Given 4 sin θ = 3 cos θ, find the values of :
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(ii) cos θ
(iii) cot² θ - cosec² θ