Calculus Examples

$\frac{lim_{x \to π} \cos (π)}{\sin (π)}$

Step 1

Evaluate the limit of $\cos (π)$ which is constant as $x$ approaches $π$ .

$\frac{\cos (π)}{\sin (π)}$

Step 2

Simplify the answer.

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Step 2.1

Apply the reference angle by finding the angle with equivalent trig values in the first quadrant.

$\frac{\cos (π)}{\sin (0)}$

Step 2.2

The exact value of $\sin (0)$ is $0$ .

$\frac{\cos (π)}{0}$

Step 2.3

The expression contains a division by $0$ . The expression is undefined.

Undefined

$\frac{\cos (π)}{0}$

Step 3

The expression contains a division by $0$ . The expression is undefined.

Undefined