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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