2. Questions Bank
  3. JEE Main & Advanced
  4. Mathematics
  5. Trigonometric Identities

JEE Main & Advanced Mathematics Trigonometric Identities Question Bank Fundamental trigonometrical ratios and functions, Trigonometrical ratio of allied angles

  • question_answer
    If \[x\sin 45{}^\circ {{\cos }^{2}}60{}^\circ =\frac{{{\tan }^{2}}60{}^\circ \text{cosec}30{}^\circ }{\sec 45{}^\circ {{\cot }^{2}}30{}^\circ },\] then \[x=\]

    A) 2

    B) 4

    C) 8

    D) 16

    Correct Answer: C

    Solution :

    \[x.\frac{1}{\sqrt{2}}.\frac{1}{4}=\frac{3.2}{\sqrt{2}.3}\Rightarrow \frac{x}{4\sqrt{2}}=\sqrt{2}\Rightarrow x=8\].


You need to login to perform this action.
You will be redirected in 3 sec spinner