What is 2/((1-cos(a))*(1+cos(a))) ?

The solution to 2/((1-cos(a))*(1+cos(a))) is 2csc^2(a)

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simplify 2/((1-cos(a))*(1+cos(a)))

simplify

\frac{2}{( 1 - cos ( a ) ) \cdot ( 1 + cos ( a ) )}

2 csc^{2} (a)

Solution steps

\frac{2}{( 1 - cos ( a ) ) ( 1 + cos ( a ) )}

(1 + cos (a)) (1 - cos (a)) = sin^{2} (a)

= \frac{2}{sin ^{2} ( a )}

Use the basic trigonometric identity:

\frac{1}{sin ( x )} = csc (x)

= 2 csc^{2} (a)

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\frac{230 ( 1 7 ^{- r + 1} - 1 )}{- r + 1}

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What is 2/((1-cos(a))*(1+cos(a))) ?
The solution to 2/((1-cos(a))*(1+cos(a))) is 2csc^2(a)