SOLUTION: Verify: sin x+ (sin x*tan^2 x)= tan x*sec x

Algebra.Com
Question 755308: Verify: sin x+ (sin x*tan^2 x)= tan x*sec x
Answer by lwsshak3(11628)   (Show Source): You can put this solution on YOUR website!
Verify: sin x+ (sin x*tan^2 x)= tan x*sec x
starting with LHS
sin x+ (sin x*tan^2 x
=sinx(1+tan^2x)
=sinxsec^2x
=sinx*secx*secx
=sinx*1/cosx*secx
=(sin/cos)*sec
=tanxsecx
verified LHS=RHS

RELATED QUESTIONS

Verify that... (answered by jim_thompson5910)
Verify: cos(x) / 1+sin(x) = sec(x) - tan(x) (answered by stanbon)
verify trigonometric functions: (1-sin x)/(1+sin x) = (sec x - tan... (answered by stanbon)
verify: (1-sin x)/(1+sin x)=(sec x-tan... (answered by lwsshak3)
Verify:... (answered by lwsshak3)
cos(x)tan(x) = sin(x) .. verify (answered by jim_thompson5910)
(sec x + tan x)(1 - sin... (answered by jrfrunner)
how to verify the identity of problem... (answered by lwsshak3)
SIN(x)=TAN(x) (answered by Alan3354)