Solve 70*10(3-2cos(60))+70*13^2/2

$$70 \times 10(3-2 \cos ( 60 ) )+ \frac{ 70 \times { 13 }^{ 2 } }{ 2 }$$

Evaluate

$$7315$$

Solution Steps

Multiply 10 and 70 to get 700.

$$700\left(3-2\cos(60)\right)+\frac{70\times 13^{2}}{2}$$

Get the value of \cos(60) from trigonometric values table.

$$700\left(3-2\times \frac{1}{2}\right)+\frac{70\times 13^{2}}{2}$$

Multiply 2 and \frac{1}{2} to get 1.

$$700\left(3-1\right)+\frac{70\times 13^{2}}{2}$$

Subtract 1 from 3 to get 2.

$$700\times 2+\frac{70\times 13^{2}}{2}$$

Multiply 700 and 2 to get 1400.

$$1400+\frac{70\times 13^{2}}{2}$$

Calculate 13 to the power of 2 and get 169.

$$1400+\frac{70\times 169}{2}$$

Multiply 70 and 169 to get 11830.

$$1400+\frac{11830}{2}$$

Divide 11830 by 2 to get 5915.

$$1400+5915$$

Add 1400 and 5915 to get 7315.

$$7315$$