The largest positive solution of 1+sin4⁡x=cos2⁡3x  in [−5π/2,5π/2], is

The largest positive solution of 1+sin4x=cos23x  in [5π/2,5π/2], is

  1. A

    π

  2. B

    2π

  3. C

    5π2

  4. D

    none of these 

    Register to Get Free Mock Test and Study Material

    +91

    Verify OTP Code (required)

    I agree to the terms and conditions and privacy policy.

    Solution:

    We have,

    1+sin4x=cos23x sin23x+sin4x=0

     sin3x=0 and sin4x=0

     3x=0,±π,±2π,±3π,±4π,±5π,±6π,±7π

    and,

    4x=±nπ,n=0,1,2,,10<190>x=0,±π,±2π

    The largest positive value of x is 2π

    Chat on WhatsApp Call Infinity Learn

      Register to Get Free Mock Test and Study Material

      +91

      Verify OTP Code (required)

      I agree to the terms and conditions and privacy policy.