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Trigonometry Test - 3

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Trigonometry Test - 3
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    tan 1° tan 2° tan 3° …… tan 89° is equal to

    Solution

    tan 1o tan 2o tan 3o ……. tan 88o tan 89o

    = (tan 1o tan 89o) (tan 2o tan 88o) x (tan 3o tan 87o)…… (tan 45o) [as tan (90o - Θ ) = cot Θ ]

    = (tan 1o cot 1o) (tan 2o cot 2o)…. (tan 45o) = 1.1.1………1 = 1

     

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