Trigonometric EquationHard
Question
Let cos(α + β) = 
and let sin(α - β) = 
, where 0 ≤ α, β ≤ 
, then tan 2α =
and let sin(α - β) = , where 0 ≤ α, β ≤ , then tan 2α = Options
A.
B.
C.
D.
Solution
cos (α + β) = 
⇒ tan( α + β) = 
sin (α - β) = ⇒ tan( α - β) = 
tan 2α = tan(α + β + α - β) =
⇒ tan( α + β) = sin (α - β) =
⇒ tan( α - β) = tan 2α = tan(α + β + α - β) =
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