Question

if 5 sin2+cos2=5then find the value of sin​

Answer 1

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$If \ 5 sin^2 A+cos^2 A=5 \ then \ find\ the\\ value\ of\ sinA$

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$\boxed{\red{\bold{Solving:}}}$

$\red{\implies}5sin^2 A + cos^2 A = 5$

$\red{\implies}4 sin^2 A + cos^2 A = 5$

$\red{\implies}4sin^2 A + 1 = 5$

$\blue{(\because sin^2 A + cos^2 A = 1)}$

$\red{\implies}4sin^2 A = 5-1$

$\red{\implies}4 sin^2 A = 4$

$\red{\implies}sin^2 A =1$

$\boxed{\red{\bold{Taking \ square \ root:}}}$

$\green{\boxed{\implies{\boxed{sinA = \pm 1}}}}$

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