10th Class Mathematics Introduction to Trigonometry Question Bank Assertion And Reason (MCQs) - Introduction to Trigonometry

  • question_answer
    Assertion (A): In a right angled triangle, if \[\cos \theta =\frac{1}{2}\] and \[\sin \theta =\frac{\sqrt{3}}{2},\] then \[\tan \theta =\sqrt{3}\].
    Reason (R): \[\tan \theta =\frac{\sin \theta }{\cos \theta }\]

    A) Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A)

    B) Both Assertion (A) and Reason (R) are true but Reason (R) is not the correct explanation of Assertion (A)

    C) Assertion (A) is true but Reason (R) is false

    D) Assertion (A) is false but Reason (R) is true

    Correct Answer: A

    Solution :

    [a] \[\tan \theta =\frac{\sqrt{3}}{2}\times 2=\sqrt{3}\]


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