Question:
In \( \sin \theta + \sin^2 \theta = 1/2 \), cos\( 2\theta + \) cos\( \theta = 3/2 \), then cos\( \theta - \phi \) is equal to:
In \( \sin \theta + \sin^2 \theta = 1/2 \), cos\( 2\theta + \) cos\( \theta = 3/2 \), then cos\( \theta - \phi \) is equal to:
Show Hint
Solve the trigonometric equations step by step to find the required values.
Updated On: Mar 25, 2026
- 3/8
- 3/4
- 5/8
- 5/4
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The Correct Option is B
Solution and Explanation
Step 1: Solve the trigonometric equations.
The given equations simplify to yield the value of cos\( \theta - \phi = 3/4 \).
Thus, the correct answer is (2).
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