Use Identities to Solve Trigonometric Equations
Solve the Equation on the Interval

question 116

Multiple Choice

Use Identities to Solve Trigonometric Equations
Solve the equation on the interval [0, 2π) .
- $$\sec \frac { x } { 2 } = \cos \frac { x } { 2 }$$

• A) 0
• B) \(\frac { \pi } { 4 } , \frac { 5 \pi } { 4 }\)
• C) \(\frac { \pi } { 12 } , \frac { \pi } { 6 } , \frac { 2 \pi } { 3 } , \frac { 7 \pi } { 12 } , \frac { 7 \pi } { 6 } , \frac { 13 \pi } { 12 } , \frac { 5 \pi } { 3 }\)
• D) \(0 , \frac { \pi } { 4 } , \pi , \frac { 5 \pi } { 3 }\)

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Definitions:

Acid Salt

A type of salt that contains an ionizable hydrogen atom, allowing it to act as an acid under suitable conditions.

Soluble

Ability of a substance to dissolve in a solvent, forming a homogeneous mixture at a molecular or ionic level.

Sodium Chloride

Common salt; an ionic compound with the formula NaCl, essential for life and used in food seasoning and preservation.

Soluble

The ability of a substance to dissolve in a solvent, forming a solution.