Solve the Equation $$\cos ( 2 \theta ) = \frac { \sqrt { 2 } } { 2 }$$

question 156

Multiple Choice

Solve the equation. Give a general formula for all the solutions.
- $$\cos ( 2 \theta ) = \frac { \sqrt { 2 } } { 2 }$$

• A) \(\theta = \frac { \pi } { 8 } + 2 \mathrm { k } \pi , \theta = \frac { 7 \pi } { 8 } + 2 \mathrm { k } \pi\)
• B) \(\theta = \frac { 2 \pi } { 3 } + \mathrm { k } \pi , \theta = \frac { 4 \pi } { 3 } + \mathrm { k } \pi\)
• C) \(\theta = \frac { \pi } { 4 } + \mathrm { k } \pi , \theta = \frac { 3 \pi } { 4 } + \mathrm { k } \pi\)
• D) \(\theta = \frac { \pi } { 8 } + \mathrm { k } \pi , \theta = \frac { 7 \pi } { 8 } + \mathrm { k } \pi\)

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