Solve the Equation (X in Radians and in Degrees) for All

question 108

Multiple Choice

Solve the equation (x in radians and 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) \(\left\{ \frac { 5 \pi } { 3 } + 2 n \pi \right\}\)
• B) \(\left\{ \frac { \pi } { 2 } + 2 n \pi \right\}\)
• C) \(\{ \pi + 2 n \pi \}\)
• D) \(\left\{ 2 \mathrm { n } \pi , \frac { \pi } { 2 } + \mathrm { n } \pi \right\}\)

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Definitions:

Antoninus Pius

A Roman Emperor from 138 to 161 AD, known for his peaceful reign and the prosperity of the Roman Empire during his time.

Emperor

The sovereign ruler of an empire, commanding great authority and power.

Tivoli

A town in Italy, known for its historical sites, including the Roman ruins of Villa Adriana and the Renaissance architectural complex Villa d'Este.

Hadrian

Roman Emperor from 117 to 138 A.D., known for constructing Hadrian's Wall which marked the northern limit of Britannia.