Trigonometry Examples

cot (- \frac{5 π}{4})

$\cot (- \frac{5 π}{4})$

Step 1

Find the value using the definition of cotangent.

$\cot (- \frac{5 π}{4}) = \frac{adjacent}{opposite}$

Step 2

Substitute the values into the definition.

$\cot (- \frac{5 π}{4}) = \frac{- \frac{\sqrt{2}}{2}}{\frac{\sqrt{2}}{2}}$

Step 3

Cancel the common factor of

$\frac{\sqrt{2}}{2}$ .

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Step 3.1

Cancel the common factor.

$\frac{- \frac{\sqrt{2}}{2}}{\frac{\sqrt{2}}{2}}$

Step 3.2

Divide

$- 1$ by

$1$ .

$- 1$

Step 4