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If un= sin (ntheta) sec^ntheta, vn= cos(...

If `u_n= sin (ntheta) sec^ntheta`, `v_n= cos(ntheta)sec^ntheta`, `n in N`, `n!=1`, then `(v_n-v_(n-1))/v_(n-1)+1/n(u_n/v_n)`=

A

`-cos theta+(1)/(n) tan(n theta)`

B

`cot theta +(1)/(n) tan (n theta)`

C

`tan theta+(1)/(n)tan (n theta)`

D

`-tan theta+ (tan(n theta))/(n)`

Text Solution

Verified by Experts

The correct Answer is:
D
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