TS EAMCET · Maths · Trigonometric Equations
If \(A+B+C+D=2 \pi\), then \(\cos A-\cos B+\cos C-\cos\) \(\mathrm{D}=\)
- A \(-4 \sin \frac{A+B}{2} \cos \frac{A+C}{2} \sin \frac{A+D}{2}\)
- B \(4 \sin \frac{A+B}{2} \sin \frac{A+C}{2} \sin \frac{A+D}{2}\)
- C \(-4 \sin \frac{A+B}{2} \sin \frac{A+C}{2} \sin \frac{A+D}{2}\)
- D \(4 \sin \frac{A+B}{2} \cos \frac{A+C}{2} \sin \frac{A+D}{2}\)
Answer & Solution
Correct Answer
(D) \(4 \sin \frac{A+B}{2} \cos \frac{A+C}{2} \sin \frac{A+D}{2}\)
Step-by-step Solution
Detailed explanation
\(A+B+C+D=2 \pi\)…
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