Solve 4{left(sin(75^circ)right)}^2

$$4 { \left( \sin ( 75 ^ { \circ } ) \right) }^{ 2 }$$

Evaluate

$$3.73205080756887739591756832825956$$

Solution Steps

Evaluate trigonometric functions in the problem

$$4 \cdot 0.9659258262890683 ^ {2}$$

Calculate 0.9659258262890683 to the power of 2 and get 0.93301270189221934897939208206489.

$$4\times 0.93301270189221934897939208206489$$

Multiply 4 and 0.93301270189221934897939208206489 to get 3.73205080756887739591756832825956.

$$3.73205080756887739591756832825956$$

Factor

$$\frac{43 ^ {2} \cdot 3656111 ^ {2} \cdot 61440671 ^ {2}}{2 ^ {30} \cdot 5 ^ {32}} = 3\frac{1.8301270189221925 \times 10^{31}}{2.5000000000000004 \times 10^{31}} = 3.7320508075688767$$