Question

if x=a sec theta ,y=a tan theta then x^2-y^2=

Answer 1

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12th

Maths

Continuity and Differentiability

Second Order Derivatives

If x = a secθ ,y = b tanθ ,...

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Asked on December 26, 2019 by

Yogita Pahariya

If x=asecθ,y=btanθ, then prove that

dx

2

d

2

y

=−

a

2

y

3

b

4

.

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ANSWER

x=asecθ y=btanθ

dθ

dx

=asecθtanθ

dθ

dy

=bsec

2

θ

dx

dy

=

tanθ

secθ

a

b

Differentiating w.r.t. x

dx

2

d

2

y

=

a

2

tan

2

θ

atanθbsecθtanθ−bsecθasec

2

θ

=

a

2

tan

2

θ

abtan

2

θsecθ−absec

2

θ

dx

2

d

2

y

=−

a

2

y

3

b

4

Answer 2

Answer:

don't know

sorryy matee