What is expand (1-ecos(θ)+(e^2)/4)^{-1} ?

The solution to expand (1-ecos(θ)+(e^2)/4)^{-1} is 4/(-4ecos(θ)+4+e^2)

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expand (1-ecos(θ)+(e^2)/4)^{-1}

expand

(1 - e cos (θ) + \frac{e ^{2}}{4})^{- 1}

\frac{4}{- 4 e cos ( θ ) + 4 + e ^{2}}

Solution steps

(1 - e cos (θ) + \frac{e ^{2}}{4})^{- 1}

Apply exponent rule:

a^{- 1} = \frac{1}{a}

= \frac{1}{( 1 - e cos ( θ ) + \frac{e ^{2}}{4} )}

Join

1 - e cos (θ) + \frac{e ^{2}}{4} : \frac{4 - 4 e cos ( θ ) + e ^{2}}{4}

= \frac{1}{\frac{4 - 4 e c o s ( θ ) + e ^{2}}{4}}

Apply the fraction rule:

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

= \frac{4}{4 - e cos ( θ ) \cdot 4 + e ^{2}}

(- e^{- x})^{- 2}

6 (x + 5)^{2} (x + 2) (x - 1)^{2}

e^{- \frac{( 1.6 ) ^{2}}{7.22}}

- 0.7978 e^{- 0.01 (70)}

\frac{( 2.998 \cdot 1 0 ^{8} )}{1} s \cdot (\frac{1}{1} \cdot 1 0^{- 9}) \cdot (\frac{1}{738})

What is expand (1-ecos(θ)+(e^2)/4)^{-1} ?
The solution to expand (1-ecos(θ)+(e^2)/4)^{-1} is 4/(-4ecos(θ)+4+e^2)