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Popular >

inverse of arccos(e^x)

Solution

inverse

arccos (e^{x})

Solution

ln (cos (x))

Solution steps

arccos (a) = b \Rightarrow a = cos (b)

e^{x} = cos (y)

Solve for

x, e^{x} = cos (y)

ln (cos (y))

Substitute

y = x

ln (cos (x))

Popular Examples

inverse of log_{3}(4^x+4)inverse

lo g_{3} (4^{x} + 4)

inverse of f(x)= 1/4*10^{x-3}+5 inverse

f (x) = \frac{1}{4} \cdot 1 0^{x - 3} + 5

inverse of f(x)= 1/(1+y^3)inverse

f (x) = \frac{1}{1 + y ^{3}}

inverse of f(x)=(y+4)/(2y-5)inverse

f (x) = \frac{y + 4}{2 y - 5}

inverse of f(x)=14-((1+10))/3 inverse

f (x) = 14 - \frac{( 1 + 10 )}{3}

Frequently Asked Questions (FAQ)

What is the inverse of arccos(e^x) ?
The inverse of arccos(e^x) is ln(cos(x))