What is e^{-1/2 ln|cos(x)|} ?

The solution to e^{-1/2 ln|cos(x)|} is 1/(sqrt(|cos(x)|))

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simplify e^{-1/2 ln|cos(x)|}

simplify

e^{- \frac{1}{2} l n ∣ c o s (x) ∣}

\frac{1}{∣ cos ( x ) ∣}

Solution steps

e^{- \frac{1}{2} l n ∣ c o s (x) ∣}

Apply exponent rule:

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

= \frac{1}{e ^{\frac{1}{2} l n ∣ c o s (x) ∣}}

e^{\frac{1}{2} l n ∣ c o s (x) ∣} = ∣ cos (x) ∣

= \frac{1}{∣ cos ( x ) ∣}

2 x \cdot x^{- \frac{1}{2}}

e^{- \frac{1}{0.01}}

- 23 \cdot 2

8.4 \cdot 1 0^{- 5}

1.724 \times 1 0^{- 8} \times 2.125

What is e^{-1/2 ln|cos(x)|} ?
The solution to e^{-1/2 ln|cos(x)|} is 1/(sqrt(|cos(x)|))