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    Question

    If tan(π/4 + θ) = 3, find

    tan(2θ):
    A 12/5 Correct Answer Incorrect Answer
    B 8/5 Correct Answer Incorrect Answer
    C 5/12 Correct Answer Incorrect Answer
    D 4/3 Correct Answer Incorrect Answer

    Solution

    tan(π/4 + θ) = (1 + tan θ) / (1 - tan θ) = 3. Solving, tan θ = 1/2. tan(2θ) = (2 × 1/2) / (1 - (1/2)^2) = 4/3. Correct option: d) 4/3

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