Solve cos40=2/x

$$\cos 40 = \frac { 2 } { x }$$

Solve for x

$$x = \frac{1000000000000000}{383022221559489} = 2\frac{233955556881022}{383022221559489} \approx 2.610814579$$

Steps for Solving Linear Equation

Evaluate trigonometric functions in the problem

$$0.766044443118978 = \frac{2}{x}$$

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

$$0.766044443118978x=2$$

Divide both sides by 0.766044443118978.

$$x=\frac{2}{0.766044443118978}$$

Expand \frac{2}{0.766044443118978} by multiplying both numerator and the denominator by 1000000000000000.

$$x=\frac{2000000000000000}{766044443118978}$$

Reduce the fraction \frac{2000000000000000}{766044443118978} to lowest terms by extracting and canceling out 2.

$$x=\frac{1000000000000000}{383022221559489}$$