Question

If 5 sin squaretheta +cos square theta =2 find the value of sin theya

Answer 1

$\huge\star{\underline{\underline{\red{\tt{\mid{Answer}}}}}}\star$

$\huge{\bold{\boxed{\boxed{\sqrt{\frac {3}{4}}}}}}$

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$\implies$5sin²$\theta$ + cos²$\theta$ =2

$\implies$ 5sin²$\theta$+1-sin²$\theta$=2

$\implies$ 4sin²$\theta$=3

$\implies$ sin²$\theta$=$\frac {3}{4}$

So here we would know that

sin$\theta$=$\huge\sqrt{\frac {3}{4}}}}}$

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Answer 2

Answer:

under root 4/3

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5sin²\thetaθ + cos²\thetaθ =2

-->5sin²\thetaθ +1-sin²\thetaθ =2

>>4sin²\thetaθ =3

>>sin²\thetaθ =4/3

>>sin^2=under root 4/3