Question

what are trigonometric functions and their derivatives? ​

Answer 1

All derivatives of circular trigonometric functions can be found from those of sin(x) and cos(x) by means of the quotient rule applied to functions such as tan(x) = sin(x)/cos(x). Knowing these derivatives, the derivatives of the inverse trigonometric functions are found using implicit differentiation.

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Answer 2

Trigonometric functions are real functions which relate an angle of a right-angled triangle to ratios of two side lengths.

Derivative is a way to show instantaneous rate of change.

Trigonometric functions and their derivatives :-

sinx (opposite side/hypotenuse) => cosx

cosx (adjacent side/hypotenuse) => -sinx

tanx (sinx/cosx) => sec^2x or (secx)^2

cosecx = (1/sinx) => -cosecx * cotx

secx (1/cosx) => secx * tanx

cotx (1/tanx) => -cosec^2x or -(cosecx)^2

:-)