Solve cos(40)+2left(sin(200)right)^2

$$\cos ( 40 ) +2 { \left( \sin ( 200 ) \right) }^{ 2 }$$

Evaluate

$$0.5320888862379561351326063277876088$$

Solution Steps

Evaluate trigonometric functions in the problem

$$0.766044443118978 + 2 \cdot -0.34202014332566866 ^ {2}$$

Calculate 0.34202014332566866 to the power of 2 and get 0.1169777784405109324336968361061956.

$$0.766044443118978+2\left(-0.1169777784405109324336968361061956\right)$$

Multiply 2 and -0.1169777784405109324336968361061956 to get -0.2339555568810218648673936722123912.

$$0.766044443118978-0.2339555568810218648673936722123912$$

Subtract 0.2339555568810218648673936722123912 from 0.766044443118978 to get 0.5320888862379561351326063277876088.

$$0.5320888862379561351326063277876088$$

Factor

$$\frac{31 \cdot 461 \cdot 122263 \cdot 6761686543 \cdot 56296513545469}{2 ^ {31} \cdot 5 ^ {34}} = 0.5320888862379562$$