Question

If r sin θ = 1, r cos θ = √33, then give the value of (r2 tan θ).​

Answer 1

$= {r}^{2} \tan( \alpha ) \\ = {r}^{2} \times \frac{ \sin( \alpha ) }{ \cos( \alpha ) } \\ = {r}^{2} \times \frac{ \frac{1}{r} }{ \frac{ \sqrt{33} }{r} } \\ = {r}^{2} \times \frac{1}{ \sqrt{33} } \\ = \frac{ {r}^{2} }{ \sqrt{33} }$

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