Solve 2pi6.410^6cos(40)/365*86400

$$\frac{ 2 \pi 6.4 { 10 }^{ 6 } \cos ( 40 ) }{ 365 \cdot 86400 }$$

Evaluate

$$\frac{14186008205907\pi }{45625000000000}\approx 0.976803489$$

Solution Steps

Evaluate trigonometric functions in the problem

$$\frac{2 \pi 6.4 {(10)} ^ {6} 0.766044443118978}{365 \cdot 86400}$$

Cancel out 2 in both numerator and denominator.

$$\frac{0.766044443118978\times 6.4\pi \times 10^{6}}{365\times 43200}$$

Multiply 0.766044443118978 and 6.4 to get 4.9026844359614592.

$$\frac{4.9026844359614592\pi \times 10^{6}}{365\times 43200}$$

Calculate 10 to the power of 6 and get 1000000.

$$\frac{4.9026844359614592\pi \times 1000000}{365\times 43200}$$

Multiply 4.9026844359614592 and 1000000 to get 4902684.4359614592.

$$\frac{4902684.4359614592\pi }{365\times 43200}$$

Multiply 365 and 43200 to get 15768000.

$$\frac{4902684.4359614592\pi }{15768000}$$

Divide 4902684.4359614592\pi by 15768000 to get \frac{14186008205907}{45625000000000}\pi .

$$\frac{14186008205907}{45625000000000}\pi$$