What is the value of sin(140)cos(20)-cos(140)sin(20) ?

The value of sin(140)cos(20)-cos(140)sin(20) is (sqrt(3))/2

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sin(140)cos(20)-cos(140)sin(20)

sin (14 0^{\circ}) cos (2 0^{\circ}) - cos (14 0^{\circ}) sin (2 0^{\circ})

\frac{3}{2}

Solution steps

sin (14 0^{\circ}) cos (2 0^{\circ}) - cos (14 0^{\circ}) sin (2 0^{\circ})

Rewrite using trig identities:

sin (12 0^{\circ})

= sin (12 0^{\circ})

Use the following trivial identity:

sin (12 0^{\circ}) = \frac{3}{2}

= \frac{3}{2}

tan (0 π)

arccos (0.69)

arccos (0.82)

arccos (0.81)

arccos (\frac{2}{14})

What is the value of sin(140)cos(20)-cos(140)sin(20) ?
The value of sin(140)cos(20)-cos(140)sin(20) is (sqrt(3))/2