What is the value of sin(60)*cos(60) ?

The value of sin(60)*cos(60) is (sqrt(3))/4

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sin(60)*cos(60)

sin (6 0^{\circ}) \cdot cos (6 0^{\circ})

\frac{3}{4}

Solution steps

sin (6 0^{\circ}) cos (6 0^{\circ})

Use the following trivial identity:

sin (6 0^{\circ}) = \frac{3}{2}

Use the following trivial identity:

cos (6 0^{\circ}) = \frac{1}{2}

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

Simplify

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

= \frac{3}{4}

sin^{2} (5 3^{\circ}) + cos^{2} (5 3^{\circ})

981 cos (3 0^{\circ})

\frac{1 + cos ( 7 5 ^{\circ} )}{2}

4 1 + cos^{2} (\frac{7 π}{32})

450 cos (- 2 4^{\circ})

What is the value of sin(60)*cos(60) ?
The value of sin(60)*cos(60) is (sqrt(3))/4