Math, asked by siddhantdeshpande05, 6 months ago

If 9 sin²θ + 5cos²θ = 6. Find tan θ

Answers

Answered by vipashyana1

0

Answer:

tanθ=1/√3

Step-by-step explanation:

9sin²θ+5cos²θ = 6

4sin²θ+5sin²θ+5cos²θ=6

4sin²θ+5(sin²θ+cos²θ)=6

4sin²θ+5(1)=6

4sin²θ+5=6

4sin²θ=6-5

4sin²θ=1

sin²θ=1/4

sinθ=(√1/4)

sinθ=1/2

sinθ=sin30°

θ=30°

tanθ=tan30°=1/√3

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