TS EAMCET · Maths · Trigonometric Equations
The set of solutions of the system of equations \[ \begin{aligned} x+y & =\frac{2 \pi}{3} \ \text { and } \quad \cos x+\cos y & =\frac{3}{2}, \end{aligned} \] where \(x, y\) are real, is
- A \(\left\{(x, y): \cos \left(\frac{x-y}{2}\right)=\frac{1}{2}\right\}\)
- B \(\left\{(x, y): \sin \left(\frac{x-y}{2}\right)=\frac{1}{2}\right\}\)
- C \(\left\{(x, y): \cos (x-y)=\frac{1}{2}\right\}\)
- D Empty set
Answer & Solution
Correct Answer
(D) Empty set
Step-by-step Solution
Detailed explanation
Given system of equation is \[ x+y=\frac{2 \pi}{3} \] and \(\cos x+\cos y=\frac{3}{2}\), where \(x, y\) are real.…
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