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    Question

    tan 1˚ × tan 2˚× …………………….tan 88˚

    × tan 89˚ = ?
    A 1 Correct Answer Incorrect Answer
    C -1 Correct Answer Incorrect Answer
    D 2 Correct Answer Incorrect Answer
    E none of these Correct Answer Incorrect Answer

    Solution

    We know that  If tanA × tanB = 1 then A & B are complementary angles it means A + B = 90˚ tan 1˚  × tan 2˚× …………………….tan 88˚× tan 89˚ = (tan 1˚  × tan89˚) × (tan 2˚  × tan88˚) × …………………….(tan 44˚ × tan 46˚) × tan45˚ = 1 × 1 × ……………………………………………………………….. × 1 × 1  = 1

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