AP EAMCET · Maths · Properties of Triangles
In a \(\triangle A B C\), if \(\tan (A / 2), \tan (B / 2)\) and \(\tan (C / 2)\) are in Arithmetic progression, then which of the following option is always correct?
- A cos A, cosB and cosC are in Arithmetic Progression.
- B cos A, cosB and cosC are in Geometric Progression.
- C cos A, cosB and cosC are in harmonic Progression.
- D no conclusion can be made with given data.
Answer & Solution
Correct Answer
(A) cos A, cosB and cosC are in Arithmetic Progression.
Step-by-step Solution
Detailed explanation
Given In a \(\triangle A B C, \tan (A / 2), \tan (B / 2), \tan (C / 2)\) are in Arithmetic progression,…
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