Flag Trigonometry> If xy + yz + zx = 1 show that [x/(1 - x^2...
question mark

If xy + yz + zx = 1show that[x/(1 - x^2)] + [y/(1 - y^2)] + [z/(1 - z^2)] = (4xyz)/[(1 - x^2)(1 - y^2)(1 - z^2)]

Vaibhav Gupta , 9 Years ago
Grade 11
anser 3 Answers
Lab Bhattacharjee

Last Activity: 9 Years ago

\text{ Let } x=\tan A\text{ etc.} \\ \implies \tan(A+B+C)=\infty\implies A+B+C=n\pi+\dfrac\pi2 \text{ where } n \text{ is any integer} \\ \implies 2A+2B+2C=2n\pi+\pi \\ \implies\tan2A+\tan2B+\tan2C=\tan2A\tan2B\tan2C \\ \text{ Now use } \tan2D=\dfrac{2\tan D}{1-\tan^2D}

siddareddy

Last Activity: 9 Years ago

xy+yz+zx+1thenx/1+x2+y/1+y2+z/1+zPease sent me answer this problem

Ansh Goyal

Last Activity: 5 Years ago

just take the lcm of the l.h.s. and start solving. by taking xyz, x,y,z, common respectively, you will get the answer
 

Provide a better Answer & Earn Cool Goodies

Enter text here...
star
LIVE ONLINE CLASSES

Prepraring for the competition made easy just by live online class.

tv

Full Live Access

material

Study Material

removal

Live Doubts Solving

assignment

Daily Class Assignments


Ask a Doubt

Get your questions answered by the expert for free

Enter text here...