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Popular >

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

Solution

simplify

(e^{l n (c o s (x))})^{- 1}

Solution

\frac{1}{cos ( x )}

Solution steps

(e^{l n (c o s (x))})^{- 1}

Apply exponent rule:

(a^{b})^{c} = a^{b c}

= e^{l n (c o s (x)) (- 1)}

Simplify

ln (cos (x)) (- 1) : - ln (cos (x))

= e^{- l n (c o s (x))}

Apply exponent rule:

a^{b c} = (a^{b})^{c}

= (e^{l n (c o s (x))})^{- 1}

Apply log rule:

a^{l o g_{a} (b)} = b

e^{l n (c o s (x))} = cos (x)

= cos^{- 1} (x)

Apply exponent rule:

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

= \frac{1}{cos ( x )}

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7.85 \cdot 1 0^{- 5} \cdot 1000

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(1 0^{- 3}) \cdot (1.3) (1.543)

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e^{C} ln (x) \cdot 2 \cdot ln (x)

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((2^{3})^{2})^{5}

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15 b^{3} (6 c^{3})

Frequently Asked Questions (FAQ)

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