What is sin(x)*e^{-cos(x)} ?

The solution to sin(x)*e^{-cos(x)} is (sin(x))/(e^{cos(x))}

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

simplify

sin (x) \cdot e^{- c o s (x)}

\frac{sin ( x )}{e ^{c o s (x)}}

Solution steps

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

Apply exponent rule:

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

= \frac{1}{e ^{c o s (x)}} sin (x)

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{1 \cdot sin ( x )}{e ^{c o s (x)}}

Multiply:

1 \cdot sin (x) = sin (x)

= \frac{sin ( x )}{e ^{c o s (x)}}

e^{- 2 (- \frac{1}{2})}

1.37077 e^{- 3}

5 x^{\frac{5}{2}} \cdot e^{- x}

5.817731355 x 1 0^{- 3}

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