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  3. 10th Class
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  5. Introduction to Trigonometry

10th Class Mathematics Introduction to Trigonometry Question Bank Trigonometry

  • question_answer
    If the angle \[\alpha \] lies in the first quadrant and \[\tan \alpha +cot\alpha =2\], then the value of \[\sqrt{\tan \alpha }+\sqrt{cot\alpha }\]

    A) -4

    B) -2

    C) 2

    D) 4

    Correct Answer: C

    Solution :

     Given, \[\tan \alpha +\cot \alpha =2\] or            \[\tan \alpha +\cot \alpha +2-2=2\] or            \[({{\left( \sqrt{\tan \alpha }+\sqrt{\cot \alpha } \right)}^{2}}=4\] or            \[\sqrt{\tan \alpha }+\sqrt{\cot \alpha }=2\]


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