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10th Class Mathematics Introduction to Trigonometry Question Bank Trigonometry

  • question_answer
    If \[\tan \,\,\theta =\frac{1}{\sqrt{5}}\] and \[\theta \] lies in the first quadrant, the value of \[\cos \,\theta \] is

    A) \[\frac{1}{\sqrt{6}}\]

    B) \[\frac{\sqrt{5}}{\sqrt{6}}\]

    C) \[-\frac{1}{\sqrt{6}}\]

    D) \[-\frac{\sqrt{5}}{\sqrt{6}}\]

    Correct Answer: B

    Solution :

     \[\tan \theta =\frac{1}{\sqrt{5}}\] \[\therefore \]  \[A{{C}^{2}}={{(1)}^{2}}+{{(\sqrt{5})}^{2}}=1+5=6\]


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