AP EAMCET · Maths · Trigonometric Equations
Let \(A, B\) and \(C\) be three angles of a \(\triangle A B C\) such that \(\cos A+\cos B+\cos C=\frac{3}{2}\), then the \(\triangle A B C\) is
- A Equilateral
- B Right angled
- C Isosceles but not equilateral
- D Scalene
Answer & Solution
Correct Answer
(A) Equilateral
Step-by-step Solution
Detailed explanation
Given, \(\cos A+\cos B+\cos C=\frac{3}{2}\) Above equation is possible only for \(A=B=C=\frac{\pi}{3}\) \(\therefore \triangle A B C\) is equilateral, Hence, option (a) is correct.
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