Let A and B denote the statements array l A: + + =0 B: x+ + =0 array If ( - )+ ( - )+ ( …

Mathematics · JEE Main · NTA ExamsTrigonometry

Let A and B denote the statements

\(\begin{array}{l} A: \cos \pi+\cos \beta+\cos \gamma=0\\ B: \sin x+\sin \beta+\sin \gamma=0 \end{array}\)

If \(\cos (\beta-\gamma)+\cos (\gamma-\pi)+\cos (\pi-\beta)=-\frac{3}{2}\), then

  1. A is true and B is false
  2. A is false and B is true
  3. Both A and B are true
  4. Both A and B are false

Answer

(C) Both A and B are true

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