MathematicsIf cosθ=−32 and sinα=35 where θ belongs to second quadrant, then 25cos2α+3tanθ is

If $\cos θ = \frac{- \sqrt{3}}{2}$ and $\sin α = \frac{\sqrt{3}}{5}$ where $θ$ belongs to second quadrant, then $25 \cos^{2} α + \sqrt{3} \tan θ$ is

$25 \cos^{2} α + \sqrt{3} \tan θ$ is

$25 (1 - \frac{3}{25}) + \sqrt{3} (- \frac{1}{\sqrt{3}})$

$\Rightarrow 25 \times \frac{22}{25} - 1$

$= 21$

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