Derivatives of the other basic trigonometric functions

The derivatives of remaining trigonometric functions, ie.,
and
can also be found easily using the quotient rule.
Their derivatives are given by the following formulae:

i. (tan x) = sec2 x

ii. (cot x) = – cosec2 x

iii. (sec x) = sec x tan x

iv (cosec x) = – cosec x cot x

Points to remember
i. While differentiating trigonometric functions, angles must be expressed in radians.
If it is not so, it should first be converted into radians by using the formula
radians
ii. The derivatives of all “co” functions, (i.e., cos, cot, cosec) have a negative sign.