What is the value of sin(20)cos(100)+cos(20)sin(100) ?

The value of sin(20)cos(100)+cos(20)sin(100) is (sqrt(3))/2

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sin(20)cos(100)+cos(20)sin(100)

sin (2 0^{\circ}) cos (10 0^{\circ}) + cos (2 0^{\circ}) sin (10 0^{\circ})

\frac{3}{2}

Solution steps

sin (2 0^{\circ}) cos (10 0^{\circ}) + cos (2 0^{\circ}) sin (10 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}

33 sin (\frac{π}{3}) + 3 cos (\frac{π}{3})

- 3 + 4 cos (\frac{π}{3})

tan (3 0^{\circ}) + cos (3 0^{\circ})

cos (\frac{π}{6}) - sin (\frac{π}{6})

sin (38 0^{\circ})

What is the value of sin(20)cos(100)+cos(20)sin(100) ?
The value of sin(20)cos(100)+cos(20)sin(100) is (sqrt(3))/2