A straight line that passes through any point on the circumference of the circle is called a tangent of the circle.

A straight line can be passed through a circle in geometric system but in a special case, a straight line passes through a point of the circumference of the circle.

The straight line at that point is known as a tangent of the circle.

A circle consists of point $T$ as a point on its circumference.

A straight line $\overleftrightarrow{RS}$ is passed through the point $T$. So, the straight line $\overleftrightarrow{RS}$ at point $T$ is called a tangent of the circle geometrically.

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Evaluate $\displaystyle \large \lim_{x \,\to\, \tan^{-1}{3}} \normalsize {\dfrac{\tan^2{x}-2\tan{x}-3}{\tan^2{x}-4\tan{x}+3}}$

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Evaluate $\displaystyle \large \lim_{x \to 0} \normalsize \dfrac{e^{x^2}-\cos{x}}{x^2}$

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Evaluate $\displaystyle \int \dfrac{1+\cos{4x}}{\cot{x}-\tan{x}} dx$

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