Question

prove: Csc=1+cot(Ө)/sin(Ө)+cos(Ө)

Answer 1

\[\csc = 1+ (\cot/(\sin + \cos))? \]
or
\[\csc = (1 + \cot)/\sin + \cos?\]

You need to try and use the website's tools to help us out a bit here, it's impossible to demonstrate without clearly writing it out.

Answer 2

\[\csc(\theta)=\frac{1+\cot(\theta)}{\sin(\theta)+\cos(\theta)}\]?

Answer 3

yes exactly..

Answer 4

ok then this is an easier one. multiply top and bottom by
\[\sin(\theta)\]

Answer 5

\[\csc(\theta)=\frac{1+\cot(\theta)}{\sin(\theta)+\cos(\theta)}\frac{\sin(\theta)}{\sin(\theta)}\]
\[\frac{\sin(\theta)+\cos(\theta)}{(\sin(\theta)+\cos(\theta))\sin(\theta)}\]
\[=\frac{1}{\sin(\theta)}\]
\[=\csc(\theta)\]

Answer 6

thanks for helping me..