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SSC Sample Paper SSC-CGL TIER - I Sample Test Paper-4

  • question_answer
    If \[3sinx+5cosx=5,\] then what is the value of (\[(3\text{ }cosx-5sinx)\]?

    A) 0                                 

    B) 2

    C) 3                                 

    D) 5

    Correct Answer: C

    Solution :

    3 sinx + 5 cosx = 5 On squaring both side, we get \[9 si{{n}^{2}}x + 25 co{{s}^{2}}x+ 30 sinxcosx= 25\] \[\Rightarrow \] 9(1 ? cos2x) + 25 (1- sin2x) + 30 sin x cos x = 25 \[\Rightarrow \] 9 + 25 - {9cos2 x + 25 sin2 x 30 sin x cos x} = 25 \[\Rightarrow \]9 = (3 cos x- 5 sin x)2 3 cos x ~ 5 sin x = [3]


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