brijmohan123456
Dec 15, 2012, 10:53 PM
can anyone please prove the following
cosec10-√3sec10=4
cosec10 means cosec10 degree.
ebaines
Dec 16, 2012, 08:38 AM
Tough one. I'll give you a hint to get you started:
\frac 1 {\sin(10)} + \frac {\sqrt 3}{\cos(10)} = \frac {\cos(10) - \sqrt 3 \sin(10)}{\sin(10) \cos(10)}\\
= \frac {4 (\frac 1 2 \cos(10) - \frac {\sqrt 3} 2 \sin(10) )} {2 \sin(10) \cos(10)} \\
= 4 \frac {\sin(30)\cos(10) - \cos( 30) \sin(10)}{\sin(20)}
Can you take it from here?