If sin- 45 and sin- - 725 and - 0-2 then value of sin-145-sin-1725-

Now cosα=35 , cosβ=2425 sin(α+β)=sinα cosβ+sinβ cosα =96125+21125 =117125 sin(α + β)=117125 α + β=sin^ 1(117125) sin^ 1(4 ...

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Implicit Differentiation

If sinα= 45...

Question

If $sin α = \frac{4}{5}$ and $sin β = \frac{7}{25}$ and $α β \in (0, \frac{π}{2})$ then value of ${sin}^{- 1} (\frac{4}{5}) + {sin}^{- 1} (\frac{7}{25}) =$

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{sin}^{- 1} \frac{4}{5} + {sin}^{- 1} \frac{7}{25} = {sin}^{- 1} \frac{117}{125}

sin β = \frac{4}{5}

0 < β < π

\frac{\sqrt{3} sin (α + β) - \frac{2}{cos \frac{π}{6}} cos (α + β)}{sin α}

If sin $α$ = 5/13 and sin $β$ = $\frac{4}{5}$ then the value of cos $α$ cos $β$ - sin $α$ sin $β$ is

α, β, γ \in (0, \frac{π}{2})

\frac{sin (α + β + γ)}{sin α + sin β + sin γ}

sin α = \frac{15}{17}

\frac{π}{2} < α < π

cos β = - \frac{4}{5}

π < β < \frac{3 π}{2}

sin (α - β)

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