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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