JEE Advanced Mathematics question

MathematicsTrigonometric Ratio and IdentitiesJEE Advanced

The number of measures of the angle for which , and are in GP, is

Answer: (D)

Solution

The three terms are in GP iff

2A= A 3A=Missing argument for \tfrac\tfrac12( 4A+ 2A).

Using :

1+ 4A= 4A+ 2A\ ⇒\ 2A=1\ ⇒\ 2A=2nπ\ ⇒\ A=nπ,\ n.

Check: for the terms ar

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Question ID VK-110171