Question

Find the value of k if cos 20 /sin 70 + 2 cos yheta /sin*90 -thea = k/2

Answer 1

$\frac{ \cos(20) }{ \sin(70) } + \frac{2 \cos( \alpha ) }{ \sin(90 - \alpha ) } = \frac{k}{2} \\ \\ \frac{ \cos(20) }{ \sin(90 - 20) } + \frac{2 \cos( \alpha ) }{ \cos( \alpha ) } = \frac{k}{2} \\ \\ \frac{ \cos(20) }{ \cos(20) } + \frac{2 \cos( \alpha) }{ \cos( \alpha ) } = \frac{k}{2} \\ 1 + 2 = \frac{k}{2} \\ 6 = k$
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