What is the value of cos(-60)*sin(-240) ?

The value of cos(-60)*sin(-240) is (sqrt(3))/4

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cos(-60)*sin(-240)

cos (- 6 0^{\circ}) \cdot sin (- 24 0^{\circ})

\frac{3}{4}

Solution steps

cos (- 6 0^{\circ}) sin (- 24 0^{\circ})

Use the following property:

sin (- x) = - sin (x)

sin (- 24 0^{\circ}) = - sin (24 0^{\circ})

= cos (- 6 0^{\circ}) (- sin (24 0^{\circ}))

Use the following property:

cos (- x) = cos (x)

cos (- 6 0^{\circ}) = cos (6 0^{\circ})

= cos (6 0^{\circ}) (- sin (24 0^{\circ}))

Simplify

= - cos (6 0^{\circ}) sin (24 0^{\circ})

Use the following trivial identity:

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

Rewrite using trig identities:

sin (24 0^{\circ}) = - \frac{3}{2}

= - \frac{1}{2} (- \frac{3}{2})

Simplify

- \frac{1}{2} (- \frac{3}{2}) : \frac{3}{4}

= \frac{3}{4}

coth (ln (7))

sec (0.02) ln (0.96)

cos (\frac{π}{3}) cos (\frac{π}{6}) - sin (\frac{π}{3}) sin (\frac{π}{6})

sin (\frac{π}{3} - arcsin (- \frac{1}{2}))

sec (4 5^{\circ}) csc (4 5^{\circ})

What is the value of cos(-60)*sin(-240) ?
The value of cos(-60)*sin(-240) is (sqrt(3))/4