Friday

March 6, 2015

March 6, 2015

Posted by **Sharon** on Thursday, April 10, 2008 at 1:32am.

tan(x)/(1+sec(x))+ (1+sec(x))/tan(x)= 2csc(x)

- Math -
**drwls**, Thursday, April 10, 2008 at 3:16amtan(x)/(1+sec(x))+ (1+sec(x))/tan(x)

= tan x/[(cosx+1)/cosx]

+ [(cosx+1)/cosx]/tanx

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

= [sin^2 x + (cosx +1)^2]/[sinx(1 + cosx)]

= (sin^2x + cos^2x + 2 cos x + 1)/[sinx(1 + cosx)]

= 2 (1 + cosx)/[sinx(1 + cosx)]

= 2/sin x = 2 csc x

**Answer this Question**

**Related Questions**

trig - For each expression in column I, choose the expression from column II to ...

math (trig) - Prove: sin^2(x/2) = csc^2x - cot^2x / 2csc^2(x) + 2csc(x)cot(x) On...

Math Help - 1) 1+cos(3t)/ sin(3t) + sin(3t)/( 1+ cos(3t))= 2csc(3t) 2) sec^2 2u-...

Math - Solve for x: sec(2x)csc(2x) = 2csc(x) for 0 < x < 2pi [the first "&...

Calculus - Use implicit differentiation to find dy/dx. e^4x = sin(x+2y). This is...

Math - Which expression is equivalent to sin(3x) + sin x? A) 2cos(2x)sin x B) ...

Precal - I do not understand how to do this problem ((sin^3 A + cos^3 A)/(sin A...

Math - What is the first step. Explain please. Which expression is equivalent to...

Calc - Which expression is equivalent to sin(3x) + sin x? A. 2cos(2x)sin x B. ...

trigonometry (please double check this) - Solve the following trig equations. ...