The derivatives of remaining trigonometric functions, ie.,
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
|ii. The derivatives of all “co” functions, (i.e., cos, cot, cosec) have a negative sign.|