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Derivative of trigonometric function Cosecx and secx

DERIVATE OF 'cosecx'
Let y=cosecx……. i

Then,

Now,
       Subtracting i from ii we get,

By the first principle,




DERIVATE OF 'secx'

Let y=secx……. i

Then,

Now,
       Subtracting i from ii we get,

By the first principle,