Foundation
Mathematics Foundation
Introduction to Trigonometry
Question

tan 10º tan 15º tan 75º tan 80º = ?

13

– 1

3

1

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Solution

Given expression = (tan 10º tan 80º) (tan 15º tan 75º)

                             = {tan 10º tan (90º – 10º)} {tan 15º tan (90º – 15º)}

                             = (tan 10º cot 10º) (tan 15º cot 15º) = 1 × 1 = 1.

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