Solve Qsin^-1B/5=tan24/7

$$Q \sin ^ { - 1 } \frac { B } { 5 } = \tan \frac { 24 } { 7 }$$

Solve for Q

$$Q=\frac{599113875541911}{10000000000000000\arcsin(\frac{B}{5})}$$

$$B\neq 0\text{ and }|B|\leq 5$$

Steps for Solving Linear Equation

Evaluate trigonometric functions in the problem

$$Q \sin^{-1}(\frac{B}{5}) = 0.0599113875541911$$

The equation is in standard form.

$$\arcsin(\frac{B}{5})Q=0.0599113875541911$$

Divide both sides by \arcsin(\frac{1}{5}B).

$$\frac{\arcsin(\frac{B}{5})Q}{\arcsin(\frac{B}{5})}=\frac{0.0599113875541911}{\arcsin(\frac{B}{5})}$$

Dividing by \arcsin(\frac{1}{5}B) undoes the multiplication by \arcsin(\frac{1}{5}B).

$$Q=\frac{0.0599113875541911}{\arcsin(\frac{B}{5})}$$

Divide 0.0599113875541911 by \arcsin(\frac{1}{5}B).

$$Q=\frac{599113875541911}{10000000000000000\arcsin(\frac{B}{5})}$$

Solve for B

$$B=5\sin(\frac{599113875541911}{10000000000000000Q})$$

$$|Q|\geq \frac{599113875541911}{5000000000000000\pi }\text{ and }Q\neq 0$$