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 principal solution refers to a solution that satisfies a given equation or system of equations. In this case, the given expression consists of two factors, and the correct identification of the principal solution can be derived by analyzing the components separately.
- Option (1) is incorrect because it is a simple sinusoidal function. The expression \( (5 + 3 \sin \theta) \) is part of the equation but may not be the principal solution.
- Option (2) is correct as it contains a cosine function, contributing to the solution structure.