Question

(vii) if x = a sec0, y = b tan, then find the relation between x and y free from theta​

Answer 1

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

Step-by-step explanation:

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