Solve 1-2sin^2(2^21/2)

$$1 - 2 \sin ^ { 2 } ( 2 ^ { 2 } \frac { 1 } { 2 } )$$

Evaluate

$$0.9975640502598242478429402942981182$$

Solution Steps

Evaluate trigonometric functions in the problem

$$1 - 2 \cdot 0.03489949670250097 ^ {2}$$

Calculate 0.03489949670250097 to the power of 2 and get 0.0012179748700878760785298528509409.

$$1-2\times 0.0012179748700878760785298528509409$$

Multiply 2 and 0.0012179748700878760785298528509409 to get 0.0024359497401757521570597057018818.

$$1-0.0024359497401757521570597057018818$$

Subtract 0.0024359497401757521570597057018818 from 1 to get 0.9975640502598242478429402942981182.

$$0.9975640502598242478429402942981182$$

Factor

$$\frac{167 \cdot 457 \cdot 2767 \cdot 62929 \cdot 375334195475018893823}{2 ^ {33} \cdot 5 ^ {34}} = 0.9975640502598243$$