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Popular >

ln(sin(pi/4))

Solution

ln (sin (\frac{π}{4}))

Solution

- \frac{1}{2} ln (2)

+1

Solution steps

ln (sin (\frac{π}{4}))

Use the following trivial identity:

sin (\frac{π}{4}) = \frac{2}{2}

= ln (\frac{2}{2})

Simplify

ln (\frac{2}{2}) : - \frac{1}{2} ln (2)

= - \frac{1}{2} ln (2)

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Frequently Asked Questions (FAQ)

What is the value of ln(sin(pi/4)) ?
The value of ln(sin(pi/4)) is -1/2 ln(2)