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

The value of sin((3pi)/4)cos((3pi)/4) is -1/2

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sin((3pi)/4)cos((3pi)/4)

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

- \frac{1}{2}

Solution steps

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

Use the following trivial identity:

sin (\frac{3 π}{4}) = \frac{2}{2}

Use the following trivial identity:

cos (\frac{3 π}{4}) = - \frac{2}{2}

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

Simplify

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

= - \frac{1}{2}

arctan (\frac{350}{446.41})

cos (\frac{π}{3}) + tan (\frac{5 π}{3})

arccos (\frac{7}{5})

cos (19. 3^{\circ})

sin^{3} (2)

What is the value of sin((3pi)/4)cos((3pi)/4) ?
The value of sin((3pi)/4)cos((3pi)/4) is -1/2