Calculus Examples

$2 \cot (\frac{π}{2}) \csc (\frac{π}{2}) - \csc^{2} (\frac{π}{2})$

Step 1

Simplify each term.

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Step 1.1

The exact value of $\cot (\frac{π}{2})$ is $0$ .

$2 \cdot 0 \csc (\frac{π}{2}) - \csc^{2} (\frac{π}{2})$

Step 1.2

Multiply $2$ by $0$ .

$0 \csc (\frac{π}{2}) - \csc^{2} (\frac{π}{2})$

Step 1.3

The exact value of $\csc (\frac{π}{2})$ is $1$ .

$0 \cdot 1 - \csc^{2} (\frac{π}{2})$

Step 1.4

Multiply $0$ by $1$ .

$0 - \csc^{2} (\frac{π}{2})$

Step 1.5

The exact value of $\csc (\frac{π}{2})$ is $1$ .

$0 - 1^{2}$

Step 1.6

One to any power is one.

$0 - 1 \cdot 1$

Step 1.7

Multiply $- 1$ by $1$ .

$0 - 1$

Step 2

Subtract $1$ from $0$ .

$- 1$