JEE Main & Advanced Mathematics Trigonometric Identities Question Bank Self Evaluation Test - Trigonometric Function

  • question_answer
    What is \[{{\sin }^{2}}(3\pi )+{{\cos }^{2}}(4\pi )+{{\tan }^{2}}(5\pi )\] equal to?

    A) 0                     

    B) 1    

    C) 2                     

    D) 3

    Correct Answer: B

    Solution :

    \[{{\sin }^{2}}(3\pi )+co{{s}^{2}}(4\pi )+{{\tan }^{2}}(5\pi )\] \[={{\sin }^{2}}(3\pi )+{{\cos }^{2}}(\pi +3\pi )+{{\tan }^{2}}(5\pi )\] \[=({{\sin }^{2}}(3\pi )+{{\cos }^{2}}(3\pi )+{{\tan }^{2}}(2\times 2\pi +\pi )\] \[=1+{{\tan }^{2}}\pi ={{\sec }^{2}}\pi =1\]


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