SOLUTION: verify the identity cosx+sinx(tanx)=secx

Algebra ->  Trigonometry-basics -> SOLUTION: verify the identity cosx+sinx(tanx)=secx      Log On


   



Question 735042: verify the identity
cosx+sinx(tanx)=secx

Answer by fcabanski(1391) About Me  (Show Source):
You can put this solution on YOUR website!
tan is sin/cos.


sec is 1/cos


cosx + sinx(sinx/cosx) = 1/cosx


Multiply all the terms by cosx


cos^2x + sin^2x = 1 ---That is true, so the original identity is true.