Solve the Equation for Solutions Over the Interval [0 $[ 0,2 \pi )$

question 390

Multiple Choice

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

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

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Definitions:

Required Rate

The minimum annual percentage return an investment must earn to be considered a viable option.

Nondiversifiable Risk

A type of investment risk that cannot be mitigated or eliminated through portfolio diversification, often associated with market-wide risks.

Realized Return

The actual gain or loss achieved on an investment over a specific period, taking into account both income and capital gains.

Expected Returns

The anticipated return on an investment, considering both the probability and the amount of potential returns.