What is simplify-1/(\frac{2sin(θ)){2-2cos(θ)}} ?

The solution to simplify-1/(\frac{2sin(θ)){2-2cos(θ)}} is -csc(θ)+cot(θ)

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simplify-1/(\frac{2sin(θ)){2-2cos(θ)}}

simplify

- \frac{1}{\frac{2 s i n ( θ )}{2 - 2 c o s ( θ )}}

- csc (θ) + cot (θ)

Solution steps

- \frac{1}{\frac{2 s i n ( θ )}{2 - 2 c o s ( θ )}}

Apply the fraction rule:

\frac{1}{\frac{b}{c}} = \frac{c}{b}

\frac{1}{\frac{2 s i n ( θ )}{2 - 2 c o s ( θ )}} = \frac{2 - 2 cos ( θ )}{2 sin ( θ )}

= - \frac{2 - 2 cos ( θ )}{2 sin ( θ )}

Cancel

- \frac{2 - 2 cos ( θ )}{2 sin ( θ )} : - csc (θ) + cot (θ)

= - csc (θ) + cot (θ)

64 a^{3} - 27

lo g_{\frac{2}{3}} (\frac{27}{8})

\frac{8}{9} \div \frac{4}{3}

4 \cdot 3

(\frac{1}{2} x^{2} - \frac{1}{2 x ^{2}})^{2}

What is simplify-1/(\frac{2sin(θ)){2-2cos(θ)}} ?
The solution to simplify-1/(\frac{2sin(θ)){2-2cos(θ)}} is -csc(θ)+cot(θ)