Question

Which of the following expressions represents the Principal Solution

• A. \( (5 + 3 \sin \theta) \)
• B. \( (2 \cos \theta + 1) \)
• C. \( (3 \cos \theta + 1) \)
• D. \( (4 \cos \theta + 1) \)

Hint:

When analyzing trigonometric expressions, be sure to separate them into components to identify principal solutions.

Answer 1

The Correct Option is A

The primary solution is defined as a solution that fulfills a specific equation or a set of equations. The provided expression comprises two factors, and the accurate identification of the primary solution can be achieved by examining each component individually.
- Option (1) is erroneous because it represents a basic sinusoidal function. The expression \( (5 + 3 \sin \theta) \) is a constituent of the equation but might not be the primary solution.
- Option (2) is accurate as it includes a cosine function, which is integral to the solution's formation.