The period of sin πx12+cos πx4+tanπx3,Where x represents the greatest integer less than or equal x is  

The period of sin πx12+cos πx4+tanπx3,Where x represents the greatest integer less than or equal x is  

  1. A
  2. B
  3. C
  4. D

    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:

    Since,
     sinπx+2412=sinπ1224+x                         =sin2π+πx2=sinπx12
    The period of sin πx12 is 24.
    Similarly, period of cos πx4 is 8 and period of tanπx3=3.
    Hence, the period of the given function =LCM of 24,8,3=24.

    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.