Thursday

July 31, 2014

July 31, 2014

Posted by **angel0** on Saturday, June 30, 2012 at 7:47am.

tan(x/2)=tanx/secx+1

- pre cal -
**Reiny**, Saturday, June 30, 2012 at 8:51amFor this to be true, you must mean

tan(x/2) = tanx/(secx+1)

let Ø = x/2

then we are proving that

tanØ = tan 2Ø/(sec 2Ø + 1)

RS = (sin 2Ø/cos 2Ø)/(1/cos 2Ø + 1)

= (sin 2Ø /cos 2Ø)/( (1 + cos 2Ø)/cos 2Ø

= sin 2Ø/(1 + cos 2Ø)

= 2sinØcosØ/(1 + 2cos^2 Ø - 1)

= sinØ/cosØ

= tanØ or tan (x/2)

= LS

**Related Questions**

pre cal 2 - verify the identity tanx times cotx/cosx=secx

Pre-Cal - Perform the addition or subtraction. tanx - sec^2x/tanx tan^2(x)/tan(x...

Pre Cal - could someone please tell me what the other angle identity of tan is? ...

Trig - Verify the identity. (secx + tanx)/(secx - tanx) = (1 + 2sinx + sin(^2)x...

Pre Calculus - (secx)/(tanx)+(cscx)/(cotx)=secx+cscx Please help me verify this ...

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

Trig - Verify the identity. 1/(tanx-secx) + 1/(tanx+secx) = -2tanx

Trig - Verify the identity: tanx/secx-1=secx+1/tanx

Pre-Calculus - How do you verify: 1.) sinxcosx+sinx^3secx=tanx 2.) (secx+tanx)/(...

Pre Calculus - (cotx)(cscx)+secx=(csc^2x)(secx) Please help to verify this ...