Solve sin^212+sin^278^circ=

$$\sin ^ { 2 } 12 + \sin ^ { 2 } 78 ^ { \circ } =$$

Evaluate

$$0.9999999999999999145309887476830361$$

Solution Steps

Evaluate trigonometric functions in the problem

$$0.20791169081775931 ^ {2} + 0.9781476007338056 ^ {2}$$

Calculate 0.20791169081775931 to the power of 2 and get 0.0432272711786995409793980890916761.

$$0.0432272711786995409793980890916761+0.9781476007338056^{2}$$

Calculate 0.9781476007338056 to the power of 2 and get 0.95677272882130037355159065859136.

$$0.0432272711786995409793980890916761+0.95677272882130037355159065859136$$

Add 0.0432272711786995409793980890916761 and 0.95677272882130037355159065859136 to get 0.9999999999999999145309887476830361.

$$0.9999999999999999145309887476830361$$

Factor

$$\frac{197 \cdot 313 \cdot 401 \cdot 404431583340346816474726301}{2 ^ {34} \cdot 5 ^ {34}} = 0.9999999999999999$$