Solve frac{mu_{0}1}{4pia}(sin0^circ+sin45^circ)

$$\frac { \mu _ { 0 } 1 } { 4 \pi a } ( \sin 0 ^ { \circ } + \sin 45 ^ { \circ } )$$

Evaluate

$$\frac{\sqrt{2}\mu _{0}}{8\pi a}$$

Short Solution Steps

Cancel out 1 in both numerator and denominator.

$$\frac{\mu _{0}}{4\pi a}\left(\sin(0)+\sin(45)\right)$$

Get the value of \sin(0) from trigonometric values table.

$$\frac{\mu _{0}}{4\pi a}\left(0+\sin(45)\right)$$

Get the value of \sin(45) from trigonometric values table.

$$\frac{\mu _{0}}{4\pi a}\left(0+\frac{\sqrt{2}}{2}\right)$$

Anything plus zero gives itself.

$$\frac{\mu _{0}}{4\pi a}\times \frac{\sqrt{2}}{2}$$

Multiply \frac{\mu _{0}}{4\pi a} times \frac{\sqrt{2}}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\mu _{0}\sqrt{2}}{4\pi a\times 2}$$

Multiply 4 and 2 to get 8.

$$\frac{\mu _{0}\sqrt{2}}{8\pi a}$$