Solve 140*0.1left(0.411cos(0.8)+0.048sin(0.8)right)

$$140 \cdot 0.1 \left( 0.411 \cos ( 0.8 ) +0.048 \sin ( 0.8 ) \right)$$

Evaluate

$$5.762821708337441989584$$

Solution Steps

Evaluate trigonometric functions in the problem

$$140 \cdot 0.1 {(0.411 \cdot 0.9999025240093042 + 0.048 \cdot 0.013962180339145272)}$$

Multiply 140 and 0.1 to get 14.

$$14\left(0.411\times 0.9999025240093042+0.048\times 0.013962180339145272\right)$$

Multiply 0.411 and 0.9999025240093042 to get 0.4109599373678240262.

$$14\left(0.4109599373678240262+0.048\times 0.013962180339145272\right)$$

Multiply 0.048 and 0.013962180339145272 to get 0.000670184656278973056.

$$14\left(0.4109599373678240262+0.000670184656278973056\right)$$

Add 0.4109599373678240262 and 0.000670184656278973056 to get 0.411630122024102999256.

$$14\times 0.411630122024102999256$$

Multiply 14 and 0.411630122024102999256 to get 5.762821708337441989584.

$$5.762821708337441989584$$

Factor

$$\frac{3 \cdot 7 \cdot 664757029 \cdot 25800787861}{2 ^ {17} \cdot 5 ^ {21}} = 5\frac{4.767635677109014 \times 10^{19}}{6.25 \times 10^{19}} = 5.762821708337442$$