What is the value of (1)^2*sin(pi/3)*cos(pi/3) ?

The value of (1)^2*sin(pi/3)*cos(pi/3) is (sqrt(3))/4

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(1)^2sin(pi/3)cos(pi/3)

(1)^{2} \cdot sin (\frac{π}{3}) \cdot cos (\frac{π}{3})

\frac{3}{4}

Solution steps

(1)^{2} sin (\frac{π}{3}) cos (\frac{π}{3})

= 1^{2} sin (\frac{π}{3}) cos (\frac{π}{3})

Use the following trivial identity:

sin (\frac{π}{3}) = \frac{3}{2}

Use the following trivial identity:

cos (\frac{π}{3}) = \frac{1}{2}

= 1^{2} \cdot \frac{3}{2} \cdot \frac{1}{2}

Simplify

1^{2} \cdot \frac{3}{2} \cdot \frac{1}{2} : \frac{3}{4}

= \frac{3}{4}

\frac{π}{2} [sin (0) + sin (π)]

cos (arctan (\frac{5}{4}))

csc (- 39 0^{\circ})

2 (cos (9 0^{\circ}) + i sin (9 0^{\circ}))

sin (0.4 \cdot 4 \cdot π)

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