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

Math
Convert from to .
The integral of with respect to is .
Simplify the answer.
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Evaluate at and at .
Simplify.
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The exact value of is .
The exact value of is .
is approximately which is positive so remove the absolute value
Evaluate.
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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

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