Multiple Choice Questions on If rsin theta 7 2 and rcos theta 7 radic 3 2 then the value of r is ........ for Mathematics - All Exams Preparation

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Multiple Choice Questions

If rsin theta 7 2 and rcos theta 7 radic 3 2 then the value of r is ........

Quantitative Aptitude ( CCS) Trignometry
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    If rsinθ=7/2 and rcosθ=7√3/2, then the value of r is,

    5

    Incorrect Answer

    7

    Correct Answer

    9

    Incorrect Answer

    11

    Incorrect Answer
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    Explanation:

    We straightaway eliminate both sinθ and cosθ by first isolation (dividing by r), squaring and then adding,
    sin2θ+cos2θ=49/4r2+3×49/4r2
    Or, r2=49,
    Or, r=7.

    By: MIRZA SADDAM HUSSAIN
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