prove the identity cos x/sec x-tan x=1plus sin x

1 answer

cosx/(secx-tanx)
= cosx / (1/cosx - sinx/cosx)
= cosx / (1-sinx)/cosx
= cos^2x / (1-sinx)
= (1-sin^2x)/(1-sinx)
= (1+sinx)(1-sinx)/(1-sinx)
= 1+sinx

why the word "plus"? You have a missing + key?
Similar Questions
  1. Prove the identity: cos^4(x)-sin^4(x)=1-2sin^2(x).with explanationim confused on this one cause of the 4th power of the sine.
    1. answers icon 1 answer
    1. answers icon 1 answer
  2. Select all the true statements about identities.A) You may use proven identities to prove other identities. B) An identity is
    1. answers icon 0 answers
  3. Prove the identitysin(x+y+z)+sin(x+y-z)+sin(x-y+z)+ sin(x-y-z) = 4 sin(x)cos(y)cos(z) This identity is so long and after i tried
    1. answers icon 5 answers
more similar questions