What is the value of 5sin(pi/6)cos(pi/3) ?

The value of 5sin(pi/6)cos(pi/3) is 5/4

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5sin(pi/6)cos(pi/3)

5 sin (\frac{π}{6}) cos (\frac{π}{3})

\frac{5}{4}

Solution steps

5 sin (\frac{π}{6}) cos (\frac{π}{3})

Use the following trivial identity:

sin (\frac{π}{6}) = \frac{1}{2}

Use the following trivial identity:

cos (\frac{π}{3}) = \frac{1}{2}

= 5 \cdot \frac{1}{2} \cdot \frac{1}{2}

Simplify

5 \cdot \frac{1}{2} \cdot \frac{1}{2} : \frac{5}{4}

= \frac{5}{4}

arcsec (\frac{5}{3})

cot (- \frac{5 π}{2})

arccos (\frac{4}{21})

10 cos (6 9^{\circ})

arcsin (15)

What is the value of 5sin(pi/6)cos(pi/3) ?
The value of 5sin(pi/6)cos(pi/3) is 5/4