Solve 2/3=-cospi/3/3+c

$$\frac { 2 } { 3 } = \frac { - \cos \frac { \pi } { 3 } } { 3 } + c$$

Solve for c

$$c=\frac{5}{6}\approx 0.833333333$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 3.

$$2=-\cos(\frac{\pi }{3})+3c$$

Get the value of \cos(\frac{\pi }{3}) from trigonometric values table.

$$2=-\frac{1}{2}+3c$$

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

$$-\frac{1}{2}+3c=2$$

Add \frac{1}{2} to both sides.

$$3c=2+\frac{1}{2}$$

Add 2 and \frac{1}{2} to get \frac{5}{2}.

$$3c=\frac{5}{2}$$

Divide both sides by 3.

$$c=\frac{\frac{5}{2}}{3}$$

Express \frac{\frac{5}{2}}{3} as a single fraction.

$$c=\frac{5}{2\times 3}$$

Multiply 2 and 3 to get 6.

$$c=\frac{5}{6}$$