## Trending News

# simplify: (( tan x) / ( csc x + cot x))?

a. sec x - 1

b. sec x + 1

c. tan x csc x + tan x cot x

d. 1 - (1/ cos x)

e. none of these here

### 2 Answers

Relevance

- Mein Hoon NaLv 71 decade agoFavorite Answer
becuase csc^2 x -c cot^2 x = 1 multiply both num and den by csc x - cot x

= tan x(csec x - cot x)

= tan x csc x - 1

= sinx / cos x * 1/ sin x -1

= sec x -1

so ans is a

- Login to reply the answers

- Sherman81Lv 61 decade ago
(tan(x))/(csc(x) + cot(x))

(sin(x)/cos(x))/((1/sin(x)) + (cos(x)/sin(x)))

(sin(x)/cos(x))/((1 + cos(x))/sin(x))

(sin(x)/cos(x))*(sin(x)/(1 + cos(x)))

(sin(x)^2)/(cos(x)(1 + cos(x)))

(1 - cos(x)^2)/(cos(x)(1 + cos(x)))

((1 - cos(x)(1 + cos(x)))/(cos(x)(1 + cos(x)))

(1 - cos(x))/(cos(x))

(1/cos(x)) - (cos(x)/cos(x))

sec(x) - 1

ANS : A.) sec(x) - 1

- Login to reply the answers

Still have questions? Get your answers by asking now.