Solve the Equation for Solutions Over the Interval [0, 2π) $$\sin \frac { x } { 2 } + \cos \frac { x } { 2 } = \sqrt { 2 }$$

question 416

Multiple Choice

Solve the equation for solutions over the interval [0, 2π) . Write solutions as exact values or to four decimal places, as
appropriate.
- $$\sin \frac { x } { 2 } + \cos \frac { x } { 2 } = \sqrt { 2 }$$

• A) \(\left\{ \frac { \pi } { 4 } \right\}\)
• B) \(\{ \pi \}\)
• C) \(\{ 0 , \pi \}\)
• D) \(\left\{ \frac { \pi } { 2 } \right\}\)

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An argument where all the premises logically support the conclusion and are consistent with each other.

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A form of logical argument where, from two propositions, each of which could be true or false, a definite conclusion is drawn.

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