Solve {left(sin(10^circ)right)}^2+{left(sin(20^circ)right)}^2

$${ \left( \sin ( 10 ^ { \circ } ) \right) }^{ 2 } + { \left( \sin ( 20 ^ { \circ } ) \right) }^{ 2 }$$

Evaluate

$$0.1471314680475567612211211872335989$$

Solution Steps

Evaluate trigonometric functions in the problem

$$0.17364817766693033 ^ {2} + 0.3420201433256687 ^ {2}$$

Calculate 0.17364817766693033 to the power of 2 and get 0.0301536896070458014258128850739089.

$$0.0301536896070458014258128850739089+0.3420201433256687^{2}$$

Calculate 0.3420201433256687 to the power of 2 and get 0.11697777844051095979530830215969.

$$0.0301536896070458014258128850739089+0.11697777844051095979530830215969$$

Add 0.0301536896070458014258128850739089 and 0.11697777844051095979530830215969 to get 0.1471314680475567612211211872335989.

$$0.1471314680475567612211211872335989$$

Factor

$$\frac{42989 \cdot 34225375804870260117965337001}{2 ^ {34} \cdot 5 ^ {34}} = 0.14713146804755678$$