Find All Solutions in the Interval [0, 2π) $$\sin \left( \frac { x } { 2 } \right) = 2 \cos ^ { 2 } x - 1$$

question 56

Multiple Choice

Find all solutions in the interval [0, 2π) .
- $$\sin \left( \frac { x } { 2 } \right) = 2 \cos ^ { 2 } x - 1$$

• A) \(\frac { \pi } { 5 } , \pi , \frac { 9 \pi } { 5 }\)
• B) \(\frac { \pi } { 3 } , \pi , \frac { 5 \pi } { 3 }\)
• C) \(\frac { \pi } { 5 } , \frac { 9 \pi } { 5 }\)
• D) \(0 , \pi\)

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Definitions:

Hypotonic Solution

A solution that has a lower solute concentration compared to another solution, leading to the potential of water entering into a cell by osmosis.

Chromatin Condenses

The process by which chromatin fibers thicken and shorten to form distinct chromosomes during cell division.

Nucleoli Disappear

A phenomenon occurring during the cell division process (specifically in prophase of mitosis) where the nucleolus breaks down and disappears.

Prophase

is the first stage of cell division in both mitosis and meiosis, characterized by the condensation of chromosomes and the breakdown of the nuclear envelope.