What is the value of sin(20)cos(10)+cos(20)sin(10) ?

The value of sin(20)cos(10)+cos(20)sin(10) is 1/2

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sin(20)cos(10)+cos(20)sin(10)

sin (2 0^{\circ}) cos (1 0^{\circ}) + cos (2 0^{\circ}) sin (1 0^{\circ})

\frac{1}{2}

Solution steps

sin (2 0^{\circ}) cos (1 0^{\circ}) + cos (2 0^{\circ}) sin (1 0^{\circ})

Rewrite using trig identities:

sin (3 0^{\circ})

= sin (3 0^{\circ})

Use the following trivial identity:

sin (3 0^{\circ}) = \frac{1}{2}

= \frac{1}{2}

cos (\frac{π}{10})

100 sin (3 0^{\circ})

tan (5 π)

cos (8 5^{\circ})

20 cos (3 0^{\circ})

What is the value of sin(20)cos(10)+cos(20)sin(10) ?
The value of sin(20)cos(10)+cos(20)sin(10) is 1/2