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Question
If 3cosθ - 4sinθ = 2cosθ + sinθ, find tanθ.
Solution
3cosθ - 4sinθ = 2cosθ + sinθ
⇒ 3cosθ - 2cosθ = sinθ + 4sinθ
⇒ cosθ = 5sinθ
⇒ `"sinθ"/"cosθ" = (1)/(5)`
⇒ tanθ = `(1)/(5)`.
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