Progression (Sequence and Series)Hard

Question

If the angles A, B and C of a triangle are in an arithmetic progression and if a, b and c denote the lengths of the sides opposite to A, B and C respectively, then the value of the expression sin 2C + sin 2A is

Options

A.
B.
C.1
D.√3

Solution

B = 60o
sin2C + sin2A = 2sinA cosC + 2sinCcosA
= 2sin(A + C) = 2sinB = 2 ×

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