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Popular >

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

Solution

simplify

e^{- c o s (x)} e^{c o s (x)}

Solution

1

Solution steps

e^{- c o s (x)} e^{c o s (x)}

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

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

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

Add similar elements:

- cos (x) + cos (x) = 0

= e^{0}

Apply rule

a^{0} = 1, a \neq = 0

= 1

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Frequently Asked Questions (FAQ)

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