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    Question

    Sec A -Tan A = 1/16 then find the value of cot A

    =?
    A 255/32 Correct Answer Incorrect Answer
    B 32/255 Correct Answer Incorrect Answer
    C 27/247 Correct Answer Incorrect Answer
    D 31/2247 Correct Answer Incorrect Answer

    Solution

    Sec A -Tan A = 1/16… (1) As we know that- Sec² A - Tan² A = 1… (2) (Sec A – Tan A) (Sec A +Tan A) =1 1/16(Sec A +Tan A) = 1 Sec A +Tan A = 16… (3) Equation (3)- equation (1) Sec A +Tan A - Sec A +Tan A = 16 -1/16 2TanA =255/16 Tan A = 255/32 Cot A =32/255

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