Algebra Examples

$\sec (π) - \csc (\frac{π}{2})$

Step 1

Simplify each term.

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Step 1.1

Apply the reference angle by finding the angle with equivalent trig values in the first quadrant. Make the expression negative because secant is negative in the second quadrant.

$- \sec (0) - \csc (\frac{π}{2})$

Step 1.2

The exact value of $\sec (0)$ is $1$ .

$- 1 \cdot 1 - \csc (\frac{π}{2})$

Step 1.3

Multiply $- 1$ by $1$ .

$- 1 - \csc (\frac{π}{2})$

Step 1.4

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

$- 1 - 1 \cdot 1$

Step 1.5

Multiply $- 1$ by $1$ .

$- 1 - 1$

Step 2

Subtract $1$ from $- 1$ .

$- 2$