What is the value of sin(170)cos(20)-cos(170)sin(20) ?

The value of sin(170)cos(20)-cos(170)sin(20) is 1/2

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sin(170)cos(20)-cos(170)sin(20)

sin (17 0^{\circ}) cos (2 0^{\circ}) - cos (17 0^{\circ}) sin (2 0^{\circ})

\frac{1}{2}

Solution steps

sin (17 0^{\circ}) cos (2 0^{\circ}) - cos (17 0^{\circ}) sin (2 0^{\circ})

Rewrite using trig identities:

sin (15 0^{\circ})

= sin (15 0^{\circ})

Use the following trivial identity:

sin (15 0^{\circ}) = \frac{1}{2}

= \frac{1}{2}

sin (6 0^{\circ}) \cdot 12

arctan (- \frac{2}{- 2})

sin (23. 5^{\circ})

cos (- \frac{4 π}{5})

30 cos (4 7^{\circ})

What is the value of sin(170)cos(20)-cos(170)sin(20) ?
The value of sin(170)cos(20)-cos(170)sin(20) is 1/2