Solve sin35^circ=a/b

$$\sin 35 ^ { \circ } = \frac { a } { b }$$

Solve for a

$$a=\frac{286788218175523b}{500000000000000}$$

$$b\neq 0$$

Solution Steps

Evaluate trigonometric functions in the problem

$$0.573576436351046 = \frac{a}{b}$$

Multiply both sides of the equation by b.

$$0.573576436351046b=a$$

Swap sides so that all variable terms are on the left hand side.

$$a=0.573576436351046b$$

Solve for b

$$b=\frac{500000000000000a}{286788218175523}$$

$$a\neq 0$$

Steps for Solving Linear Equation

Evaluate trigonometric functions in the problem

$$0.573576436351046 = \frac{a}{b}$$

Variable b cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by b.

$$0.573576436351046b=a$$

Divide both sides of the equation by 0.573576436351046, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{0.573576436351046b}{0.573576436351046}=\frac{a}{0.573576436351046}$$

Dividing by 0.573576436351046 undoes the multiplication by 0.573576436351046.

$$b=\frac{a}{0.573576436351046}$$

Divide a by 0.573576436351046 by multiplying a by the reciprocal of 0.573576436351046.

$$b=\frac{500000000000000a}{286788218175523}$$

Variable b cannot be equal to 0.

$$b=\frac{500000000000000a}{286788218175523}\text{, }b\neq 0$$