trig..

ctgx+cosx=1+ctgx*cosx

  1. 👍 0
  2. 👎 0
  3. 👁 74
asked by Lea
  1. LS = cotx + cosx
    = cosx/sinx + cosx
    = (cosx + cos^2x)/sinx

    RS = 1 + cotx(cosx)
    = 1 + cosx/sinx(cosx)
    = 1 + cos^2x/sinx
    = (cosx + cos^2x)/sinx
    = LS

    1. 👍 0
    2. 👎 0
    posted by Reiny

Respond to this Question

First Name

Your Response

Similar Questions

  1. equations trig

    1) ctgx+cosx=1+ctgx*cosx 2) sin^4x+cos^4x=1/2 3) (sinx-cosx)^2=sin2x 4) sin^4x-cos^4x=7/2(sinxcosx) 5) sin^2x-sinxcosx+cosx-sinx=0

    asked by LiNnda on May 6, 2010
  2. Trigonometry Check

    Simplify #3: [cosx-sin(90-x)sinx]/[cosx-cos(180-x)tanx] = [cosx-(sin90cosx-cos90sinx)sinx]/[cosx-(cos180cosx+sinx180sinx)tanx] = [cosx-((1)cosx-(0)sinx)sinx]/[cosx-((-1)cosx+(0)sinx)tanx] = [cosx-cosxsinx]/[cosx+cosxtanx] =

    asked by Anonymous on February 20, 2012
  3. Pre-Calc

    Trigonometric Identities Prove: (tanx + secx -1)/(tanx - secx + 1)= tanx + secx My work so far: (sinx/cosx + 1/cosx + cosx/cosx)/(sinx/cos x - 1/cosx + cosx/cosx)= tanx + cosx (just working on the left side) ((sinx + 1 -

    asked by Dave on January 2, 2007
  4. Trig........

    I need to prove that the following is true. Thanks (cosx / 1-sinx ) = ( 1+sinx / cosx ) I recall this question causing all kinds of problems when I was still teaching. it requires a little "trick" L.S. =cosx/(1-sinx) multiply top

    asked by abdo on April 18, 2007
  5. Math

    Verify the identity . (cscX-cotX)^2=1-cosX/1+cosX _______ sorry i cant help you (cscX-cotX)=1/sinX - cosX/sinX = (1-cosX)/sinX If you square this you have (1-cosX)^2/(sinX)^2 Now use (sinX)^2 = 1 - (cosX)^2 to get (1-cosX)^2 / 1 -

    asked by Rose on October 9, 2006
  6. Precalculus/Trig

    I can't seem to prove these trig identities and would really appreciate help: 1. cosx + 1/sin^3x = cscx/1 - cosx I changed the 1: cosx/sin^3x + sin^3x/sin^3x = cscx/1-cosx Simplified: cosx + sin^3x/sin^3x = cscx/1-cosx I don't

    asked by Heather on August 15, 2014
  7. Maths

    Solve this equation fo rx in the interval 0

    asked by Edward on April 11, 2007
  8. Math

    How many solutions does the equation cosx + 1/2 = 1 have for 0

    asked by Jake on January 25, 2012
  9. Trigonometry.

    ( tanx/1-cotx )+ (cotx/1-tanx)= (1+secxcscx) Good one! Generally these are done by changing everything to sines and cosines, unless you see some obvious identities. Also generally, it is best to start with the more complicated

    asked by mo on April 18, 2007
  10. Calculus 2 Trigonometric Substitution

    I'm working this problem: ∫ [1-tan^2 (x)] / [sec^2 (x)] dx ∫(1/secx)-[(sin^2x/cos^2x)/(1/cosx) ∫cosx-sinx(sinx/cosx) ∫cosx-∫sin^2(x)/cosx sinx-∫(1-cos^2(x))/cosx sinx-∫(1/cosx)-cosx sinx-∫secx-∫cosx

    asked by Janice on March 15, 2015

More Similar Questions