Solve cos^211/12-sin^211/12=

$$\cos ^ { 2 } \frac { 11 } { 12 } - \sin ^ { 2 } \frac { 11 } { 12 } =$$

Evaluate

$$0.999488117179490862872705350783605975$$

Solution Steps

Evaluate trigonometric functions in the problem

$$0.999872021105574 ^ {2} - 0.015998168965683405 ^ {2}$$

Calculate 0.999872021105574 to the power of 2 and get 0.999744058589745418501253869476.

$$0.999744058589745418501253869476-0.015998168965683405^{2}$$

Calculate 0.015998168965683405 to the power of 2 and get 0.000255941410254555628548518692394025.

$$0.999744058589745418501253869476-0.000255941410254555628548518692394025$$

Subtract 0.000255941410254555628548518692394025 from 0.999744058589745418501253869476 to get 0.999488117179490862872705350783605975.

$$0.999488117179490862872705350783605975$$

Factor

$$\frac{13 \cdot 61 \cdot 557 \cdot 673 \cdot 947 \cdot 20074012423 \cdot 87342374263 \cdot 3 ^ {4}}{2 ^ {36} \cdot 5 ^ {34}} = 0.9994881171794908$$