Solve sqrt{cospi}+10!div1^-2/|frac{sqrt{sinfrac{pi{2}}}{3}|}

$$\sqrt { \cos \pi } + 10 ! \div \frac { 1 ^ { - 2 } } { | \frac { \sqrt { \sin \frac { \pi } { 2 } } } { 3 } | }$$

Evaluate

$$\text{Indeterminate}$$

Solution Steps

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

$$\sqrt{-1}+\frac{10!}{\frac{1^{-2}}{|\frac{\sqrt{\sin(\frac{\pi }{2})}}{3}|}}$$

The factorial of 10 is 3628800.

$$\sqrt{-1}+\frac{3628800}{\frac{1^{-2}}{|\frac{\sqrt{\sin(\frac{\pi }{2})}}{3}|}}$$

Calculate 1 to the power of -2 and get 1.

$$\sqrt{-1}+\frac{3628800}{\frac{1}{|\frac{\sqrt{\sin(\frac{\pi }{2})}}{3}|}}$$

Get the value of \sin(\frac{\pi }{2}) from trigonometric values table.

$$\sqrt{-1}+\frac{3628800}{\frac{1}{|\frac{\sqrt{1}}{3}|}}$$

Calculate the square root of 1 and get 1.

$$\sqrt{-1}+\frac{3628800}{\frac{1}{|\frac{1}{3}|}}$$

The absolute value of a real number a is a when a\geq 0, or -a when a<0. The absolute value of \frac{1}{3} is \frac{1}{3}.

$$\sqrt{-1}+\frac{3628800}{\frac{1}{\frac{1}{3}}}$$

Divide 1 by \frac{1}{3} by multiplying 1 by the reciprocal of \frac{1}{3}.

$$\sqrt{-1}+\frac{3628800}{1\times 3}$$

Multiply 1 and 3 to get 3.

$$\sqrt{-1}+\frac{3628800}{3}$$

Divide 3628800 by 3 to get 1209600.

$$\sqrt{-1}+1209600$$

Evaluate (complex solution)

$$1209600+i$$

Real Part (complex solution)

$$1209600$$