Solve {l}{cos^{2}75^{circ}+cos^215^circ}{+cos75^circ+cos15^circ}

$$\left. \begin{array} { l } { \cos ^ { 2 } 75 ^ { \circ } + \cos ^ { 2 } 15 ^ { \circ } } \\ { + \cos 75 ^ { \circ } + \cos 15 ^ { \circ } } \end{array} \right.$$

Evaluate

$$2.2247448713915890540288891841950376$$

Solution Steps

Evaluate trigonometric functions in the problem

$$0.25881904510252074 ^ {2} + 0.9659258262890683 ^ {2} + 0.25881904510252074 + 0.9659258262890683$$

Calculate 0.25881904510252074 to the power of 2 and get 0.0669872981077806650494971021301476.

$$0.0669872981077806650494971021301476+0.9659258262890683^{2}+0.25881904510252074+0.9659258262890683$$

Calculate 0.9659258262890683 to the power of 2 and get 0.93301270189221934897939208206489.

$$0.0669872981077806650494971021301476+0.93301270189221934897939208206489+0.25881904510252074+0.9659258262890683$$

Add 0.0669872981077806650494971021301476 and 0.93301270189221934897939208206489 to get 1.0000000000000000140288891841950376.

$$1.0000000000000000140288891841950376+0.25881904510252074+0.9659258262890683$$

Add 1.0000000000000000140288891841950376 and 0.25881904510252074 to get 1.2588190451025207540288891841950376.

$$1.2588190451025207540288891841950376+0.9659258262890683$$

Add 1.2588190451025207540288891841950376 and 0.9659258262890683 to get 2.2247448713915890540288891841950376.

$$2.2247448713915890540288891841950376$$