What is the value of sin(200)cos(80)-cos(200)sin(80) ?

The value of sin(200)cos(80)-cos(200)sin(80) is (sqrt(3))/2

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sin(200)cos(80)-cos(200)sin(80)

sin (20 0^{\circ}) cos (8 0^{\circ}) - cos (20 0^{\circ}) sin (8 0^{\circ})

\frac{3}{2}

Solution steps

sin (20 0^{\circ}) cos (8 0^{\circ}) - cos (20 0^{\circ}) sin (8 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}

arcsin (\frac{1}{1.52})

\frac{2}{π \cdot 0.1} tan (\frac{π \cdot 0.1}{2})

1 - 2 sin^{2} (\frac{2 π}{9})

- 2 cos (12 0^{\circ})

cos (0.76)

What is the value of sin(200)cos(80)-cos(200)sin(80) ?
The value of sin(200)cos(80)-cos(200)sin(80) is (sqrt(3))/2