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Let cos (α + β) = 4/5 and sin (α - β) = 5/13, where 0 ≤ α, β ≤ π/4. Then tan 2α is equal to (a) 25/16 (b) 56/33 (c) 19/12 (d) 20/7

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Let cos (α + β) = 4/5 and sin (α - β) = 5/13, where 0 ≤ α, β ≤ π/4. Then tan 2α is equal to

(a) 25/16

(b) 56/33

(c) 19/12

(d) 20/7

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The correct option is (b) 56/33.

Explanation:

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