what are trigonometric functions and their derivatives?
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what are trigonometric functions and their derivatives?
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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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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
:-)