AP EAMCET · Maths · Trigonometric Ratios & Identities
The value of \(5 \cos \theta+3 \cos \left(\theta+\frac{\pi}{3}\right)+3\) lies between
- A -2 and 5
- B -1 and 8
- C -3 and 6
- D -4 and 10
Answer & Solution
Correct Answer
(D) -4 and 10
Step-by-step Solution
Detailed explanation
Let \(f(\theta)=5 \cos \theta+3 \cos \left(\theta+\frac{\pi}{2}\right)+3\) \(\Rightarrow f(\theta)=5 \cos \theta+3 \cos \theta \cdot \frac{1}{2}-3 \sin \theta \cdot \frac{\sqrt{3}}{2}+3\) \(=\frac{13}{2} \cos \theta-\frac{3 \sqrt{3}}{2} \sin \theta+3\)…
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