Solve 16*6101/6sinpi/4

$$16 \times 610 \frac { 1 } { 6 } \sin \frac { \pi } { 4 }$$

Evaluate

$$\frac{14644\sqrt{2}}{3}\approx 6903.247802464$$

Solution Steps

Multiply 610 and 6 to get 3660.

$$16\times \frac{3660+1}{6}\sin(\frac{\pi }{4})$$

Add 3660 and 1 to get 3661.

$$16\times \frac{3661}{6}\sin(\frac{\pi }{4})$$

Multiply 16 and \frac{3661}{6} to get \frac{29288}{3}.

$$\frac{29288}{3}\sin(\frac{\pi }{4})$$

Get the value of \sin(\frac{\pi }{4}) from trigonometric values table.

$$\frac{29288}{3}\times \frac{\sqrt{2}}{2}$$

Multiply \frac{29288}{3} times \frac{\sqrt{2}}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{29288\sqrt{2}}{3\times 2}$$

Cancel out 2 in both numerator and denominator.

$$\frac{14644\sqrt{2}}{3}$$