Posted by Abhi on Thursday, June 14, 2012 at 1:43pm.
Hint:
write equation as:
tan(a)=(x²-y²)/(x²+y²)
Cross multiply to eliminate denominators:
(x²+y²)tan(a)=(x²-y²)
Implicitly differentiate both sides
(2x+2yy')tan(a) = 2x-2yy'
Group terms and express y'(=dy/dx) in terms of x, y and tan(a) to get the required expression.
Thanku soo much
Related Questions
calculus - find dy/dx y=ln (secx + tanx) Let u= secx + tan x dy/dx= 1/u * du/dx ...
Maths - Prove sqrt(Sec^2 A+Cosec^2 A)=TanA+CotA
maths - tanA/secA-1 + tanA/secA+1 = 2 cosecA
Calculus : Derivative - If tan^-1(x^2-y^2/x^2+y^2) = a, prove that dy/dx = x(1...
Maths - if sqrt(y)=(arctan)tan-1(x), show that (1+x^2)dy/dx((1+x^2)dy/dx)=2
maths trigo - prove that sin(n+1)A-sin(n-1)A/cos(n+1)A+2cos(nA)+cos(n-1)A...
maths(trigonometry) - prove that sinA-cosA+1/sinA+cosA-1=1/secA-tanA
ARYA - IF (TANA+TANB)=M AND (TANA-TANB)=N, THEN COT(A-B)=?
Math differentiation - Can somebody please check these over for me? I really ...
trignometry - prove: sin(a+b)/cosacosb=tana+tanb
For Further Reading