Question

Solve the equation for A: 2*Cos A + 2 = 3.

Answer 1

A=60 degrees

Step-by-step explanation:

Given the equation:

`2\cos A+2=3`

Subtract 2 from both sides of the equation.

`\begin{gathered} 2\cos A+2-2=3-2 \\ 2\cos A=1 \end{gathered}`

Divide both sides by 2:

`\begin{gathered} (2\cos A)/(2)=(1)/(2) \\ \cos A=(1)/(2) \end{gathered}`

Finally, solve for A.

`\begin{gathered} A=\arccos ((1)/(2)) \\ A=60\degree \end{gathered}`