Solve 2cos^215^circ

$$2 \cos ^ { 2 } 15 ^ { \circ }$$

Evaluate

$$1.86602540378443869795878416412978$$

Solution Steps

Evaluate trigonometric functions in the problem

$$2 \cdot 0.9659258262890683 ^ {2}$$

Calculate 0.9659258262890683 to the power of 2 and get 0.93301270189221934897939208206489.

$$2\times 0.93301270189221934897939208206489$$

Multiply 2 and 0.93301270189221934897939208206489 to get 1.86602540378443869795878416412978.

$$1.86602540378443869795878416412978$$

Factor

$$\frac{43 ^ {2} \cdot 3656111 ^ {2} \cdot 61440671 ^ {2}}{2 ^ {31} \cdot 5 ^ {32}} = 1\frac{4.330127018922193 \times 10^{31}}{5.000000000000001 \times 10^{31}} = 1.8660254037844384$$