Question

derivative of tan^3theta with respect to sec^3theta at π÷3 is​

Answer 1

Answer:

Derivative of tan

3

θ wrt θ is 3tan

2

θsec

2

θ

Derivative of sec

3

θ wrt θ is 3sec

3

θtanθ

Therefore the derivative of tan

3

θ with respect to sec

3

θ will be

3tanθsec

3

θ

3tan

2

θsec

2

θ

=

secθ

tanθ

=sinθ

The value of sinθ at θ=

3

π

will be

2

3

Therefore the correct option is B