If 7sin2θ+3cos2θ=4, show that tanθ=31

4sin2θ+3(sin2θ+cos2θ )=44sin2θ+3=44sin2θ=1⇒sinθ=21AC2=AB2+BC24−1=AB⇒AB=3tanθ=BABC=31

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If 7^{2}+3^{2}=4, show that = {1}{ {3}}

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If $7 sin^{2} θ + 3 cos^{2} θ = 4$ , show that $tan θ = \frac{1}{3}$

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Asher Discussed

7 sin^{2} θ + 3 cos^{2} θ = 4

, show that

tan θ = \frac{1}{3}

9 mins ago

Discuss this question LIVE

9 mins ago

4 sin^{2} θ + 3 (sin^{2} θ + cos^{2} θ) = 4

4 sin^{2} θ + 3 = 4

4 sin^{2} θ = 1 \Rightarrow sin θ = \frac{1}{2}

A C^{2} = A B^{2} + B C^{2}

4 - 1 = A B \Rightarrow A B = 3

tan θ = \frac{BC}{B A} = \frac{1}{3}

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Question Text	If $7 sin^{2} θ + 3 cos^{2} θ = 4$ , show that $tan θ = \frac{1}{3}$
Answer Type	Text solution:1
Upvotes	150