22. Discuss the continuity of the cosine, cosecant, secant and cotangent functions.

We, know that if two function g(x) and h(x) are continuous then

Lets take g(x) = sin x   and    h(x) = cos x
Let suppose  x = c + h
if

Hence, function  is a continuous function
Now,
h(x) = cos x
Let suppose  x = c + h
if

Hence, the function  is a continuous function
We proved independently that sin x and cos x is a continous function
So, we can say that
cosec x =   is also continuous except at
sec x  =   is also continuous except at
cot x =   is also continuous except at

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