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SSC Quantitative Aptitude Trigonometry Question Bank Trigonometry (II)

  • question_answer
    If \[r\sin \theta =1,\]\[r\cos \theta =\sqrt{3,}\]then the value of \[(\sqrt{3}\,tan\theta +1)\]is

    A) \[\sqrt{3}\]

    B) \[\frac{1}{\sqrt{3}}\]

    C) 1

    D) 2

    Correct Answer: D

    Solution :

    [d] \[r\sin \theta =1,\]\[r\cos \theta =\sqrt{3}\] \[\Rightarrow \]   \[\frac{r\sin \theta }{r\cos \theta }=\frac{1}{\sqrt{3}}\]\[\Rightarrow \]\[\tan \theta =\frac{1}{\sqrt{3}}\] \[\Rightarrow \]   \[\sqrt{3}\tan \theta -1=0\] \[\Rightarrow \]   \[\sqrt{3}\tan \theta +1=2\]


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