# Evaluate integral from pi/4 to pi/2 of (cos(x))/(sin(x)) with respect to x

Convert from to .
The integral of with respect to is .
Evaluate at and at .
Simplify.
The exact value of is .
The exact value of is .
is approximately which is positive so remove the absolute value
Evaluate.
Use the quotient property of logarithms, .
Multiply the numerator by the reciprocal of the denominator.
The absolute value is the distance between a number and zero. The distance between and is .
Multiply by .
The result can be shown in multiple forms.
Exact Form:
Decimal Form:
Evaluate integral from pi/4 to pi/2 of (cos(x))/(sin(x)) with respect to x