JEE Main & Advanced Mathematics Trigonometric Equations Question Bank Solution of trigonometrical equations

  • question_answer
    If \[r\,\sin \theta =3,r=4(1+\sin \theta ),\,\,0\le \theta \le 2\pi ,\]then \[\theta =\] [Roorkee 1974]

    A) \[\frac{\pi }{6},\frac{\pi }{3}\]

    B) \[\frac{\pi }{6},\frac{5\pi }{6}\]

    C) \[\frac{\pi }{3},\frac{\pi }{4}\]

    D) \[\frac{\pi }{2},\pi \]

    Correct Answer: B

    Solution :

    Eliminating\[r\], we get  \[\therefore \] \[\sin \theta =\frac{1}{2},\,-\frac{3}{2}\] (rejected) \[\Rightarrow \] \[\theta =\frac{\pi }{6},\,\pi -\frac{\pi }{6}=\frac{5\pi }{6}\].


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