Solve 1/2cos(15)

$$\frac{ 1 }{ 2 } \cos ( 15 )$$

Evaluate

$$0.48296291314453415$$

Solution Steps

Evaluate trigonometric functions in the problem

$$\frac{1}{2} 0.9659258262890683$$

Convert decimal number 0.9659258262890683 to fraction \frac{9659258262890683}{10000000000}. Reduce the fraction \frac{9659258262890683}{10000000000} to lowest terms by extracting and canceling out 1.

$$\frac{1}{2}\times \frac{9659258262890683}{10000000000000000}$$

Multiply \frac{1}{2} times \frac{9659258262890683}{10000000000000000} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 9659258262890683}{2\times 10000000000000000}$$

Do the multiplications in the fraction \frac{1\times 9659258262890683}{2\times 10000000000000000}.

$$\frac{9659258262890683}{20000000000000000}$$

Factor

$$\frac{43 \cdot 3656111 \cdot 61440671}{2 ^ {17} \cdot 5 ^ {16}} = 0.4829629131445342$$