# college trigonometry

posted by .

verify identity:

(tanx-cotx)/sinxcosx=sec^2x csc^2x

• college trigonometry -

LS = (sinx/cosx - cosx/sinx)/(sinxcosx)
= [(sin^2x - cos^2x)/(sinxcosx)]/sinxcosx
= (sin^2x - cos^2x)/(sin^2x cos^2x)
=sin^2x/(sin^2xcos^2x) - cos^2x/(sin^2xcos^2x)
= 1/cos^2x - 1/sin^2x
= sec^2x - csc^2x
≠ RS

you have a typo, your right side should have been

sec^2x - csc^2x

• college trigonometry -

what is the function of tan 7pi

## Similar Questions

1. ### Math

1)A piano tuner uses a tuning fork. If middle C has a frequency of 264 vibrations per second, write an equation in the form d=sinw(t) for the simple harmonic motion. 2) Verify the identity tan^2X-cot^2X/tanX+cotX=tanX-cotX I'm not …
2. ### Confused! Pre-Cal

Verify that each equation is an identity.. tan A= sec a/csca I have notes (i wasn't here that day and teacher refuses to reteach) but I don't understand them here is the notes... Problem w/ same directions: Cos x= cotx/csc x = Cosx/Sin …
3. ### Trigonometry.

( tanx/1-cotx )+ (cotx/1-tanx)= (1+secxcscx) Good one! Generally these are done by changing everything to sines and cosines, unless you see some obvious identities. Also generally, it is best to start with the more complicated side …
4. ### Trig

Verify that each of the following is an identity. tan^2x-sin^2x=tan^2xsin^2x I can get it down to cos^2 on the right, but cannot get it to work out on the left. secx/cosx - tanx/cotx=1 On the left I got down to 1-tan^2, but that clearly …
5. ### Math - Trigonometry

Verify the following: 1. cos x/(1-sinx)= sec x + tan x 2. (tanx+1)^2=sec^2x + 2tan x 3. csc x = )cot x + tan x)/sec x 4. sin2x - cot x = -cotxcos2x
6. ### trig

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

verify the identity (tanx+cotx) (1) __________ = ______________ (tanx-cotx) (sin^2x-cos^2x)
8. ### Trigonometry

Prove it is an identity. (sin^2x)/(tanx)=sinxcosx
9. ### trig

Verify the trigonometric identity. Please show all steps. tanx-cotx/tanx+cotx=sin^2x-cos^2x
10. ### Precalculus/Trig

Prove the following identity: 1/tanx + tanx = 1/sinxcosx I can't seem to prove it. This is my work, I must've made a mistake somewhere: Converted 1/tanx: 1/sinx/cosx + sinx/cosx = 1/sinxcosx Simplified 1/sinx/cosx: cosx/sinx + sinx/cosx …

More Similar Questions