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  5. Introduction to Trigonometry

10th Class Mathematics Introduction to Trigonometry Question Bank Trigonometry

  • question_answer
    The minimum value of \[\sin \theta \,\,\cos \theta \] is

    A) \[0\]

    B) \[-1\]

    C) \[-\frac{1}{2}\]

    D) \[\frac{1}{2}\]

    Correct Answer: C

    Solution :

     Since \[\sin \theta .\cos \theta =\frac{1}{2}2\sin \theta .\cos \theta =\frac{1}{2}[\sin 2\theta ]\] Minimum value of \[\sin \,2\theta =-1\] \[\therefore \] Minimum value of \[\sin \theta \,\cos \theta =\frac{1}{2}[-1]=-\frac{1}{2}\]


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