TS EAMCET · Maths · Trigonometric Ratios & Identities
If \(5 \sin \theta+3 \cos \left(\theta+\frac{\pi}{3}\right)+3\) lies between \(\alpha\) and \(\beta\) (including \(\alpha, \beta\) also), then \((\alpha-\beta)(\alpha+\beta-6)=\)
- A \(28-5 \sqrt{3}\)
- B \(0\)
- C \(3\)
- D \(28+5 \sqrt{3}\)
Answer & Solution
Correct Answer
(B) \(0\)
Step-by-step Solution
Detailed explanation
\(E = 5 \sin \theta+3 \left(\cos \theta \cos \frac{\pi}{3} - \sin \theta \sin \frac{\pi}{3}\right)+3\) \(E = 5 \sin \theta+3 \left(\frac{1}{2} \cos \theta - \frac{\sqrt{3}}{2} \sin \theta\right)+3\)…
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