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vova2212 [387]
2 years ago
14

Solve the given equation. (Enter your answers as a comma-separated list. Let k be any integer. Round terms to three decimal plac

es where appropriate. If there is no solution, enter NO SOLUTION.)
A). (tan(x) − 4)(9 sin^2(x) − 1) = 0

B). 3 sin(2x) − 4 sin(x) = 0
Mathematics
1 answer:
Serhud [2]2 years ago
3 0

Answer:

Step-by-step explanation:

A)(tanx-4)(9sin^2x-1)=0\\\\\\

9sin^2x-1=0\\\\sin^2x=\frac{1}{9} sinx=\frac{1}{3} or sinx=\frac{-1}{3}

OR    tanx=4\\

B)

3sin2x=3.2.sinx.cosx\\\\6.sinx.cosx-4.sinx= 2sinx.(3cosx-2)=0\\\\3.cosx=2 cosx=\frac{2}{3}

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