Trigonometry

Prove that
tanx+cotx=2sec(2x)

Thank you! :)

  1. 👍 0
  2. 👎 0
  3. 👁 543
  1. LS = sinx/cosx + cosx/sinx
    = (sin^2 x + cos^2 x)/sinxcosx
    = 1/(sinxcosx)
    = 2/(2sinxcosx)
    = 2/sin (2x)
    = 2csc (2x)

    Your RS = 2sec(2x) which is incorrect

    Did you have a typo?

    1. 👍 0
    2. 👎 0
  2. Yes I had a typo. Thank you!!

    (I don't know how to respond to answers besides this....)

    1. 👍 0
    2. 👎 0
  3. Why

    1. 👍 0
    2. 👎 0

Respond to this Question

First Name

Your Response

Similar Questions

  1. MATHS 2

    If x+y=45°, prove that {(cotx+1)(coty+1)}/{cotx×coty}=2 Please help me in this TRIGONOMETRY problem. From the topic - TRIGONOMETRY Ratios of compound angles

  2. Pre-calculus

    Prove the following identities. 1. 1+cosx/1-cosx = secx + 1/secx -1 2. (tanx + cotx)^2=sec^2x csc^2x 3. cos(x+y) cos(x-y)= cos^2x - sin^2y

  3. Trigonometry

    Prove: 1-tanx/1+tanx=1-sin2x/cos2x

  4. advanced functions

    Prove that cscx / cosx = tanx + cotx

  1. a math

    Prove cotx-1/cotx+1 = sec2x - tan2x I prove till cotx-1/cotx+1 =1/1+tanx - tanx/1+tanx

  2. arithmetic

    if tanx+cotx=2 then the value of tan^5x + cot^10x is

  3. Calculus

    Prove the identity cscx+cotx-1/cotx-cscx+1 = 1+cosx/sinx

  4. TRIGONOMETRY *(MATHS)

    Q.1 Prove the following identities:- (i) tan^3x/1+tan^2x + cot^3x/1+cot^2 = 1-2sin^x cos^x/sinx cosx (ii) (1+cotx+tanx)(sinx-cosx)/sec^3x-cosec^3x = sin^2xcos^2x.

  1. trig

    (tanx+cotx)over(tanx-cotx)=(1) over sin^2x-cos^2x)

  2. math

    cotx+tan2x=cotxsec2x prove

  3. Math

    Prove 1+sec2x / tan2x = cotx

  4. trigonometry

    (secx - tanx)(cscx+1) =cotx

You can view more similar questions or ask a new question.