Solve the Equation (X in Radians and θ in Degrees) $$\cos ^ { 2 } x - \cos x = 0$$

question 105

Multiple Choice

Solve the equation (x in radians and θ in degrees) for all exact solutions where appropriate. Round approximate answers in radians to four decimal places and approximate answers in degrees to the nearest tenth.
- $$\cos ^ { 2 } x - \cos x = 0$$

• A) \(\left\{ \frac { \pi } { 2 } + 2 n \pi \right\}\)
• B) \(\left\{ 2 \mathrm { n } \pi , \frac { \pi } { 2 } + \mathrm { n } \pi \right\}\)
• C) \(\{ \pi + 2 n \pi \}\)
• D) \(\left\{ \frac { 5 \pi } { 3 } + 2 n \pi \right\}\)

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Definitions:

Transpiration

The method through which water is transported within plants from the roots to tiny openings under the leaves, transforming into vapor there and then being emitted into the air.

Evaporation

Evaporation is the process by which water is transformed from a liquid state into vapor, often driven by heat and leading to the cooling of surfaces.

Species

A collection of living beings comprised of comparable individuals who have the ability to exchange genetic material or reproduce with one another.

Water Cycle

The endless cycle of water moving across, above, and beneath the Earth's surface, which includes activities like evaporation, condensation, precipitation, and infiltration.