Solve 5(cos^226^circ+sin^226^circ)

$$5 ( \cos ^ { 2 } 26 ^ { \circ } + \sin ^ { 2 } 26 ^ { \circ } )$$

Evaluate

$$4.9999999999999999883645441853988$$

Solution Steps

Evaluate trigonometric functions in the problem

$$5 {(0.898794046299167 ^ {2} + 0.4383711467890774 ^ {2})}$$

Calculate 0.898794046299167 to the power of 2 and get 0.807830737662829152808864893889.

$$5\left(0.807830737662829152808864893889+0.4383711467890774^{2}\right)$$

Calculate 0.4383711467890774 to the power of 2 and get 0.19216926233717084486404394319076.

$$5\left(0.807830737662829152808864893889+0.19216926233717084486404394319076\right)$$

Add 0.807830737662829152808864893889 and 0.19216926233717084486404394319076 to get 0.99999999999999999767290883707976.

$$5\times 0.99999999999999999767290883707976$$

Multiply 5 and 0.99999999999999999767290883707976 to get 4.9999999999999999883645441853988.

$$4.9999999999999999883645441853988$$