Mathematics - Trigonometric Ratios & Identities Question with Solution | TestHub

MathematicsTrigonometric Ratios & IdentitiesBasic Identities & T RatiosMedium2 minQB

MathematicsMediuminteger

If $cos θ + cos^{2} θ + cos^{3} θ = 1$ and $sin^{6} θ = a + b sin^{2} θ + c sin^{4} θ$ then $a + b + c =$

Answer:

Solution:

$cos θ (1 + cos^{2} θ) = sin^{2} θ$

$(1 - sin^{2} θ) (2 - sin^{2} θ)^{2} sin^{6} θ a = 4, b = - 8, c = 4 a + b + c = sin^{4} θ = 4 - 8 sin^{2} θ + 4 sin^{4} θ = 0$

Stream:JEESubject:MathematicsTopic:Trigonometric Ratios & IdentitiesSubtopic:Basic Identities & T Ratios

⏱ 2mℹ️ Source: QB

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