What is the value of picos((3pi)/4)sin((3pi)/4) ?

The value of picos((3pi)/4)sin((3pi)/4) is -pi/2

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picos((3pi)/4)sin((3pi)/4)

π cos (\frac{3 π}{4}) sin (\frac{3 π}{4})

- \frac{π}{2}

Solution steps

π cos (\frac{3 π}{4}) sin (\frac{3 π}{4})

Use the following trivial identity:

cos (\frac{3 π}{4}) = - \frac{2}{2}

Use the following trivial identity:

sin (\frac{3 π}{4}) = \frac{2}{2}

= π (- \frac{2}{2}) \frac{2}{2}

Simplify

π (- \frac{2}{2}) \frac{2}{2} : - \frac{π}{2}

= - \frac{π}{2}

cot (6 7^{\circ})

sin (2 (0)) (0)

arccos (0.1423)

sin (12.47 4^{\circ})

cos (\frac{π}{11}) + cos (\frac{3 π}{11}) + cos (\frac{8 π}{11}) + cos (\frac{10 π}{11})

What is the value of picos((3pi)/4)sin((3pi)/4) ?
The value of picos((3pi)/4)sin((3pi)/4) is -pi/2