Question

15 sin square theta + 2 cos theta equal to 7 find tan theta​

Answer 1

Answer:

$\frac{8}{5}$

Step-by-step explanation:

15 sin²θ + 2 cos²θ = 7

15 sin²θ + 2(1 - sin²θ) = 7

15 sin²θ + 2 - 2 sin²θ = 7

13 sin²θ = 7-2

sin²θ = $\frac{5}{13}$

Putting value of sin²θ in cos²θ + sin²θ =1

cos²θ + $\frac{5}{13}$ = 1

cos²θ = 1 - $\frac{5}{13}$

cos²θ = $\frac{8}{13}$

tan²θ =$\frac{sin^{2} }{cos^{2} }$

tan²θ = $\frac{\frac{8}{13}}{\frac{5}{13}}$

tan²θ = $\frac{8}{5}$

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