SOLUTION: establish each identity A) 1 + tan theta over 1 - tan theta = cot theta + 1 over cot theta - 1

Algebra.Com
Question 699785: establish each identity

A) 1 + tan theta over 1 - tan theta = cot theta + 1 over cot theta - 1

Answer by lwsshak3(11628)   (Show Source): You can put this solution on YOUR website!
A) 1 + tan theta over 1 - tan theta = cot theta + 1 over cot theta - 1
(1+tan)/(1-tan)=(cot+1)/(cot-1)
Start with left side:
(1+tan)/(1-tan)
=(1+1/cot)/(1-1/cot)
=(cot+1/cot)/(cot-1/cot)
cot cancels out
=(cot+1)/(cot-1)
verified: LHS=RHS

RELATED QUESTIONS

establish each identity A) sec^4 theta - sec^2 theta = tan^4 theta + tan^2 theta (answered by solver91311)
establish each identity cot(2 theta)= 1/2(cot theta - tan... (answered by lwsshak3)
Establish the identity: tan^2(theta)cos^2(theta) +... (answered by mananth)
establish each identity A) sin theta times cos theta over cos^2 theta - sin^2 theta... (answered by DrBeeee)
Verify the identity. Justify each step. tan theta + cot theta = 1/sin theta cos... (answered by KMST)
establish each identity. a) (1- cos^2 theta)(1+ cot^2 theta)= 1 b) tan^2... (answered by mananth)
establish each identity A) 1 - sin theta over cos theta + cos theta over 1 - sin... (answered by lwsshak3)
tan theta + cot theta = 1 over the sin theta times cos theta It asks me to: "Verify the (answered by longjonsilver,chibisan,jsmallt9)
(tan(theta)-cot(theta))/(tan(theta)+cot(theta))+2cos^2(theta)=1 (answered by Aswathy)