Wednesday

April 16, 2014

April 16, 2014

Posted by **Abhi** on Thursday, June 14, 2012 at 1:43pm.

- Maths -
**MathMate**, Thursday, June 14, 2012 at 5:44pmHint:

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.

- Maths -
**abhi**, Tuesday, September 18, 2012 at 9:30amThanku soo much

**Related Questions**

calculus - find dy/dx y=ln (secx + tanx) Let u= secx + tan x dy/dx= 1/u * du/dx ...

Math - Prove the identity: tanA/secA+1 = secA-1/tanA Can u please explainit to ...

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...

Amaths - prove sin(A+B)/sin(A-B)=(tanA+tanB)/(tanA-tanB)

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=tanA/2

maths(trigonometry) - prove that sinA-cosA+1/sinA+cosA-1=1/secA-tanA

Amaths - prove tanA+tanB=sin(A+B)/cosAcosB