10th Class Mathematics Introduction to Trigonometry Question Bank MCQs - Introduction to Trigonometry

  • question_answer
    If \[\text{cosec}\theta -\cot \theta =\frac{1}{3},\]the value of \[\text{(cosec}\theta +\cot \theta )\] is:  (CBSE 2011)

    A) 1

    B) 2

    C) 3

    D) 4

    Correct Answer: C

    Solution :

    [c] \[\cos ec\theta -\cot \theta =\frac{1}{3}\]
    Also,\[\cos e{{c}^{2}}\theta -{{\cot }^{2}}\theta =1\]
    \[\Rightarrow \,\,\,\,\,\,\,(\cos ec\,\,\theta +\cot \theta )\,\,(\cos ec\,\theta -\cot \theta )=1\]
    \[\Rightarrow \,\,\,\,\,\,\,(\cos ec\,\,\theta +\cot \theta )\,\,\times \frac{1}{3}=1\]
    \[\Rightarrow \,\,\,\,\,\,\,\cos ec\,\,\theta +\cot \theta =3\]


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