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Question

Question: If the sides of a ∆ ABC are in A.P. and a is the smallest side, then cos A equals:...

If the sides of a ∆ ABC are in A.P. and a is the smallest side, then cos A equals:

A
B
C

4c3b2c\frac { 4 c - 3 b } { 2 c }

D

None of these

Answer

4c3b2c\frac { 4 c - 3 b } { 2 c }

Explanation

Solution

∴ 2b = a + c

∴ cosA = b2+c2a22bc\frac { \mathrm { b } ^ { 2 } + \mathrm { c } ^ { 2 } - \mathrm { a } ^ { 2 } } { 2 \mathrm { bc } }

= cosA =