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Improper Integrals

Discuss conti...

Question

Discuss continuity of Cosine, Cosecant, Secant and Cotangent function.

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Solution

Similarly cot(x) = cos(x) / sin(x), which is discontinuous at x = n𝝿 where n is an integer.

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

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

Q. Discuss the continuity of the cosine, cosecant and secant functions.

Q. Assertion :For a given angle

x

the following relation holds true:

sec x = \frac{1}{cos x}

Reason: The graph of secant function can be obtained by inverting the graph of cosine function.

Q. Assertion :The value of cotangent function at the point

x = n π

is not defined for integer values of n. Reason: The value of cotangent function at the point

x = n π

\infty

.

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