Ask Me Help Desk - prove the following expression?

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prove the following expression?

can anyone please prove the following
cosec10-√3sec10=4
cosec10 means cosec10 degree.

Tough one. I'll give you a hint to get you started:

$<br /> \frac 1 {\sin(10)} + \frac {\sqrt 3}{\cos(10)} = \frac {\cos(10) - \sqrt 3 \sin(10)}{\sin(10) \cos(10)}\\<br /> = \frac {4 (\frac 1 2 \cos(10) - \frac {\sqrt 3} 2 \sin(10) )} {2 \sin(10) \cos(10)} \\<br /> = 4 \frac {\sin(30)\cos(10) - \cos( 30) \sin(10)}{\sin(20)}<br />$

Can you take it from here?

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