Question

1/ sine theta - √3/cos theta​

Answer 1

Answer:

$\\ option \: \: \: a) \: \: \: is \: \: \: correct.$

Step-by-step explanation:

$\frac{1}{ \sin( \alpha ) } - \frac{ \sqrt{3} }{ \cos( \alpha ) } = \frac{ \cos( \alpha ) - \sqrt{3} \sin( \alpha ) }{ \sin( \alpha ) \cos( \alpha ) } \\ \\ \\ \\ = \frac{ \frac{1}{2} ( \cos( \alpha )) - \frac{ \sqrt{3} }{2} ( \sin( \alpha )) }{ \frac{1}{2} \sin( \alpha ) \cos( \alpha ) } \\ \\ \\ = \frac{ \cos(60) \cos( \alpha ) - \sin(60) \sin( \alpha ) }{ \frac{1}{2} \sin( \alpha ) \cos( \alpha ) } \\ \\ \\ \\ = \frac{4\cos( \frac{\pi}{3} - \alpha ) }{ \sin(2 \alpha ) } \\ \\ \\ \\ option \: \: \: a) \: \: \: is \: \: \: correct.$