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    Question

    Find the simplified value of: (tan 40 º  + 

    tan 20 º )/(1 -  tan 40 º  tan 20 º)
    A 1/√3 Correct Answer Incorrect Answer
    B √3 Correct Answer Incorrect Answer
    C 1 Correct Answer Incorrect Answer
    D 2/√3 Correct Answer Incorrect Answer

    Solution

    We know that  tan (A + B) = (tan A + tan B)/(1 - tan A tan B) (tan 40 º  +  tan 20 º )/(1 -  tan 40 º  tan 20 º) = tan ( 40 º  +  20 º) =   √3

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