Ask Me Help Desk - prove the following expression?

Ask Me Help Desk (https://www.askmehelpdesk.com/forum.php)

- Mathematics (https://www.askmehelpdesk.com/forumdisplay.php?f=199)

- - prove the following expression? (https://www.askmehelpdesk.com/showthread.php?t=722851)

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?

All times are GMT -7. The time now is 10:49 PM.