The value of tan−1⁡(tan⁡(−6)),is

The value of tan1(tan(6)),is

  1. A

    2π-6

  2. B

    2π+6

  3. C

    6-2π

  4. D

    3π-6

    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 know that tan1(tanθ)=θ, if π2<θ<π2

    Here, θ=6 radians which does not lie between π2 and π2

    However 2π-6 lies between π2 and π2 such that

        tan(2π6)=tan6=tan(6)     tan1{tan(6)}=tan1{tan(2π6)}=2π6

    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.