Saturday

November 29, 2014

November 29, 2014

Posted by **Jasmine** on Sunday, January 3, 2010 at 12:39pm.

Tan^2x-tan^2y=sec^2x-sec^2y

and, how do you factor and simplify,

cscx(sin^2x+cos^2xtanx)/sinx+cosx

- Trigonometry -
**Reiny**, Sunday, January 3, 2010 at 1:20pmOne of the basic identities is

tan^2 A + 1 = sec^2 A which gives Tan^2 A = sec^2 A - 1

so

Left side

= tan^2x-tan^2y

= sec^2x - 1 -(sec^2y - 1)

= sec^2x - sec^2y

= Right Side

- Trigonometry -
**Reiny**, Sunday, January 3, 2010 at 1:25pmFor the second, I will assume you meant

cscx(sin^2x+cos^2xtanx)/(sinx+cosx)

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

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

= (sinx + cosx)/sinx + cosx)

= 1

**Answer this Question**

**Related Questions**

Trigonometry - Prove the following trigonometric identities. please give a ...

Confused! Pre-Cal - Verify that each equation is an identity.. tan A= sec a/csca...

Integration - Intergrate ¡ì sec^3(x) dx could anybody please check this answer. ...

Trigonometry - 1.Solve tan^2x + tan x – 1 = 0 for the principal value(s) to two ...

Trigonometry desperate help, clueless girl here - 2. solve cos 2x-3sin x cos 2x...

Trigonometry - Simplify #1: cscx(sin^2x+cos^2xtanx)/sinx+cosx = cscx((1)tanx)/...

Pre-Calc : Verify the Identity - Verify the Identity: sin(x+π)/cos(x+3π...

trigonometry hlp me - 6.Prove that tan y cos^2 y + sin^2y/sin y = cos y + sin y...

Math 12 - Simplify #1: cscx(sin^2x+cos^2xtanx)/sinx+cosx = cscx((1)tanx)/sinx+...

trig - We are doing trig identities in school. I need help with these five: 1.1+...