Formulae: -

- cosec²x

- sinx

secx tanx

- cosecx cotx

sec²x

cosx

0,k is constant

(i)

=

Differentiating with respect to x,

=

=

(ii) -5 tan x + 4 tan x cos x – 3 cot x sec x + 2sec x – 13

= -5 tan x + 4 sinx – 3 cosecx+ 2sec x – 13

Differentiating with respect to x,

-5 tan x + 4 sinx – 3 cosecx+ 2sec x – 13

= -5 sec²x + 4cosx -3(- cosecx cotx) + 2 secx tanx – 0

= -5 sec²x + 4cosx + 3 cosecx cotx + 2 secx tanx