SOLUTION: verify that sec(x)= sin^2(x)/cos(x)+ cos(x)

Algebra.Com
Question 523713: verify that sec(x)= sin^2(x)/cos(x)+ cos(x)
Answer by lwsshak3(11628)   (Show Source): You can put this solution on YOUR website!
verify that sec(x)= sin^2(x)/cos(x)+ cos(x)
**
Starting with right side:
sin^2(x)/cos(x)+ cos(x)
[(1-cos^2)/(cos)]+cos
[(1/cos)-(cos^2/cos)]+cos
(1/cos)-cos+cos
1/cos=sec
verified: right side=left side

RELATED QUESTIONS

Verify that... (answered by jim_thompson5910)
Verify that cos^2 x(sec^2 x- 1)=sin^2... (answered by Alan3354)
Verify: cos(x) / 1+sin(x) = sec(x) - tan(x) (answered by stanbon)
verify that (cos x + sin x) = (sin... (answered by Edwin McCravy)
verify that (sin x + cos x)^2 + (sin x - cos x)^2 =... (answered by Alan3354)
plz help verify this equation. just need the steps. (sin x - cos x/sin x) + (cos x -... (answered by mananth)
verify the identity 1.sin x sec x 2. cos x csc x =cot... (answered by stanbon)
Verify that the following equation are trigonometric identities. sec x - sin x tan x = (answered by Fombitz)
Verify that sec(x)-cos(x)=tan(x)sin(x) is an... (answered by Alan3354)