Solve sin^220^circ+sin^270^circ=

$$\sin ^ { 2 } 20 ^ { \circ } + \sin ^ { 2 } 70 ^ { \circ } =$$

Evaluate

$$0.99999999999999981942645215816858$$

Solution Steps

Evaluate trigonometric functions in the problem

$$0.3420201433256687 ^ {2} + 0.9396926207859083 ^ {2}$$

Calculate 0.3420201433256687 to the power of 2 and get 0.11697777844051095979530830215969.

$$0.11697777844051095979530830215969+0.9396926207859083^{2}$$

Calculate 0.9396926207859083 to the power of 2 and get 0.88302222155948885963114385600889.

$$0.11697777844051095979530830215969+0.88302222155948885963114385600889$$

Add 0.11697777844051095979530830215969 and 0.88302222155948885963114385600889 to get 0.99999999999999981942645215816858.

$$0.99999999999999981942645215816858$$

Factor

$$\frac{29 \cdot 1724137931034482447286986479601}{2 ^ {31} \cdot 5 ^ {32}} = 0.9999999999999997$$