Question
tan 1˚ × tan 2˚× …………………….tan 88˚
× tan 89˚ = ?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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