SOLUTION: I need help with simplifying this equation: (tan x+sin x*sec x)/(csc x*tan x)

SOLUTION: I need help with simplifying this equation: (tan x+sin xsec x)/(csc xtan x)

Question 999023: I need help with simplifying this equation: (tan x+sin x*sec x)/(csc x*tan x)
Answer by rothauserc(4718) (Show Source): You can put this solution on YOUR website!
use trig identities, then
(tan x+sin x*sec x)/(csc x*tan x) =
( (sin x / cos x) + (sin x * (1 / cos x)) ) / ( (1 / sin x) * (sin x / cos x) ) =
( 2 * ( sin x / cos x) ) / ( ( cos x * sin^2 x ) / (sin x * cos x) ) =
( 2 * tan x) / ( cos x * tan x) =
2 / cos x =
2 * sec x

RELATED QUESTIONS
I need help verifying these identities. {{{Sin(x)Cos(x)+Cos^2x =... (answered by Edwin McCravy)

sec(x)=tan(x)csc(x) (answered by AnlytcPhil)

Please help me solve this equation: Which of the following is a valid trigonometric... (answered by lwsshak3)

Dear Sir/Madam, I am confronted with the following problem: "The expression... (answered by longjonsilver)

Please help me verify this equation: (sec x +tan x) (1-sin x) = cos... (answered by lwsshak3)

I need help with these, I can't seem to figure them out (sec x-tan x)(sin x+1)= cos x... (answered by MathLover1)

Prove . (sin x + cos x)(tan x + cot x) = sec x + csc... (answered by math-vortex)

(sec x + tan x)(1 - sin... (answered by jrfrunner)

I DONT UNDERSTAND! HELP! I need help simplifying a trigonometric expression:... (answered by mananth)