Solve sin(20^circ)cos(10^circ)-cos(160^circ)sin(10^circ)=

$$\sin ( 20 ^ { \circ } ) \cos ( 10 ^ { \circ } ) - \cos ( 160 ^ { \circ } ) \sin ( 10 ^ { \circ } ) =$$

Evaluate

$$0.499999999999999914842630645358339$$

Solution Steps

Evaluate trigonometric functions in the problem

$$0.3420201433256687 \cdot 0.984807753012208 - -0.9396926207859083 \cdot 0.17364817766693033$$

Multiply 0.3420201433256687 and 0.984807753012208 to get 0.3368240888334651215791508634896.

$$0.3368240888334651215791508634896-\left(-0.9396926207859083\times 0.17364817766693033\right)$$

Multiply -0.9396926207859083 and 0.17364817766693033 to get -0.163175911166534793263479781868739.

$$0.3368240888334651215791508634896-\left(-0.163175911166534793263479781868739\right)$$

The opposite of -0.163175911166534793263479781868739 is 0.163175911166534793263479781868739.

$$0.3368240888334651215791508634896+0.163175911166534793263479781868739$$

Add 0.3368240888334651215791508634896 and 0.163175911166534793263479781868739 to get 0.499999999999999914842630645358339.

$$0.499999999999999914842630645358339$$