Trigonometry Examples

$\csc (\frac{7}{4} \cdot π)$

Step 1

Combine $\frac{7}{4}$ and $π$ .

$\csc (\frac{7 π}{4})$

Step 2

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

$- \csc (\frac{π}{4})$

Step 3

The exact value of $\csc (\frac{π}{4})$ is $\sqrt{2}$ .

$- \sqrt{2}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$- \sqrt{2}$

Decimal Form:

$- 1.41421356 \dots$