Solve (sin12^{circ}+cos12^{circ})^2+(sin12^circ-cos12^circ)^2=

$$( \sin 12 ^ { \circ } + \cos 12 ^ { \circ } ) ^ { 2 } + ( \sin 12 ^ { \circ } - \cos 12 ^ { \circ } ) ^ { 2 } =$$

Evaluate

$$2.0000000000000002203210177888883322$$

Solution Steps

Evaluate trigonometric functions in the problem

$${(0.20791169081775931 + 0.9781476007338057)} ^ {2} + {(0.20791169081775931 - 0.9781476007338057)} ^ {2}$$

Add 0.20791169081775931 and 0.9781476007338057 to get 1.18605929155156501.

$$1.18605929155156501^{2}+\left(0.20791169081775931-0.9781476007338057\right)^{2}$$

Calculate 1.18605929155156501 to the power of 2 and get 1.4067366430758002907062397802563001.

$$1.4067366430758002907062397802563001+\left(0.20791169081775931-0.9781476007338057\right)^{2}$$

Subtract 0.9781476007338057 from 0.20791169081775931 to get -0.77023590991604639.

$$1.4067366430758002907062397802563001+\left(-0.77023590991604639\right)^{2}$$

Calculate -0.77023590991604639 to the power of 2 and get 0.5932633569241999296147780086320321.

$$1.4067366430758002907062397802563001+0.5932633569241999296147780086320321$$

Add 1.4067366430758002907062397802563001 and 0.5932633569241999296147780086320321 to get 2.0000000000000002203210177888883322.

$$2.0000000000000002203210177888883322$$