Saturday

July 26, 2014

July 26, 2014

Posted by **Sh** on Tuesday, February 24, 2009 at 10:45pm.

1)(1-tanx)/(1-cotx)=-tanx

2)(1+cotx)/(1+tanx)=cotx

- math -
**Reiny**, Tuesday, February 24, 2009 at 11:02pmmy usual approach is to start with the "messy" side, and change everything to sines and cosines.

LS

=(1- sinx/cosx)/(1 - cosx/sinx)

= (cosx-sinx)/cosx * (sinx)/ (sinx - cosx)

= (-1)sinx/cosx

= -tanx

perform similar steps for the second one, bet you'll get it

- math -
**Sh**, Tuesday, February 24, 2009 at 11:07pmI got (1- sinx/cosx)/(1 - cosx/sinx)

but how did (1- sinx/cosx) turn to (cosx-sinx)/cosx?

- math -
**Sh**, Tuesday, February 24, 2009 at 11:29pmnevermind, found out :) thanks

**Related Questions**

Math - 1)A piano tuner uses a tuning fork. If middle C has a frequency of 264 ...

Pre-Calc - How do I solve this? My work has led me to a dead end. tan(45-x) + ...

trig - Verify the trigonometric identity. Please show all steps. tanx-cotx/tanx+...

trig - verify the identity (tanx+cotx) (1) __________ = ______________ (tanx-...

matj - prove that (cotx+tanx)(cotx-tanx) = 1/(sin^2 x) - 1/(cos^x)

trig - verify the identity: tan^2x(1+cot^2x)=1/1-sin^2x Verify the Id: tanx + ...

trigonometry - tanx-cotx/tanx+cotx=1-2cos squardx

Trig - Verify that each of the following is an identity. tan^2x-sin^2x=tan^2xsin...

calculus - 1/tanx + 1/cotx =tanx +cotx verify

trig - (tanx+cotx)over(tanx-cotx)=(1) over sin^2x-cos^2x)