Multiple Choice Questions on If x and y and positive acute angles such that sin 2x 3y radic 3 2 and Cos 4x 3y radic 3 2 then........... for Mathematics - All Exams Preparation

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Multiple Choice Questions

If x and y and positive acute angles such that sin 2x 3y radic 3 2 and Cos 4x 3y radic 3 2 then...........

Quantitative Aptitude ( CCS) Trignometry
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    If x and y and positive acute angles such that sin (2x+3y)=√3/2 and  Cos (4x-3y)=√3/2 , then that is the value of tan (6x-3y)0

    0

    Incorrect Answer

    1

    Incorrect Answer

    1/√3

    Incorrect Answer

    √3

    Correct Answer
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    Explanation:

    sin (2x+3y)=√3/2=Sin 60°
    2x+3y=60 …..i
    Cos (4x-3y)=√3/2=cos 30°
    4x-3y=30°….ii
    On solving equation  i & ii
    X=15 ,y=10
    tan (6x-3y)=tan (6*15-3*10)=tan 60°=√3

    By: MIRZA SADDAM HUSSAIN
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