# If cos (α + β) = 4/5 and sin (α – β) = 5/13 , where they lie between 0 and π/4, find the value of tan2α

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## If cos (α + β) = 4/5 and sin (α – β) = 5/13 , where α lie between 0 and π/4, find the value of tan2α.

A)21/16

B)63/52

C)33/32

D)63/16

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Correct option is D) 63/16

Detailed solution: