Solve cos(35)=x/y

$$\cos ( 35 ) = \frac{ x }{ y }$$

Solve for x

$$x=\frac{4095760221444959y}{5000000000000000}$$

$$y\neq 0$$

Solution Steps

Evaluate trigonometric functions in the problem

$$0.8191520442889918 = \frac{x}{y}$$

Multiply both sides of the equation by y.

$$0.8191520442889918y=x$$

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

$$x=0.8191520442889918y$$

Solve for y

$$y=\frac{5000000000000000x}{4095760221444959}$$

$$x\neq 0$$

Steps for Solving Linear Equation

Evaluate trigonometric functions in the problem

$$0.8191520442889918 = \frac{x}{y}$$

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

$$0.8191520442889918y=x$$

Divide both sides of the equation by 0.8191520442889918, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{0.8191520442889918y}{0.8191520442889918}=\frac{x}{0.8191520442889918}$$

Dividing by 0.8191520442889918 undoes the multiplication by 0.8191520442889918.

$$y=\frac{x}{0.8191520442889918}$$

Divide x by 0.8191520442889918 by multiplying x by the reciprocal of 0.8191520442889918.

$$y=\frac{5000000000000000x}{4095760221444959}$$

Variable y cannot be equal to 0.

$$y=\frac{5000000000000000x}{4095760221444959}\text{, }y\neq 0$$