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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Definitions:

Birth

The act or process of bearing or bringing forth offspring.

Innominate Bone

Another term for the hip bone, which is formed by the fusion of the ilium, ischium, and pubis bones.

Ischium

One of the three bones that make up the pelvis, located in the lower part of the pelvis.

Ilium

The large, broad bone forming the upper part of each half of the pelvis.