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

  • question_answer
    If \[\sin A=\cos A,\] \[0{}^\circ <A<90{}^\circ ,\] then A is equal to:

    A) \[30{}^\circ \]

    B) \[45{}^\circ \]

    C) \[60{}^\circ \]

    D) \[90{}^\circ \]

    Correct Answer: B

    Solution :

    [b]  \[\sin A=\cos A\]
    \[\Rightarrow \,\,\,\,\,\,\,\,\,\,\frac{\sin A}{\cos A}=1\,\,\,\,\,\,\,\,\,\Rightarrow \,\,\,\,\tan A=1\]
    \[\Rightarrow \,\,\,\,\,\,\,\,\,\,A=45{}^\circ \]


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