Trigonometry Examples

$(- 1, 0)$

Step 1

To find the $\csc (θ)$ between the x-axis and the line between the points $(0, 0)$ and $(- 1, 0)$ , draw the triangle between the three points $(0, 0)$ , $(- 1, 0)$ , and $(- 1, 0)$ .

Opposite : $0$

Adjacent : $- 1$

Step 2

Find the hypotenuse using Pythagorean theorem $c = \sqrt{a^{2} + b^{2}}$ .

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Step 2.1

Raise $- 1$ to the power of $2$ .

$\sqrt{1 + {(0)}^{2}}$

Step 2.2

Raising $0$ to any positive power yields $0$ .

$\sqrt{1 + 0}$

Step 2.3

Add $1$ and $0$ .

$\sqrt{1}$

Step 2.4

Any root of $1$ is $1$ .

$1$

Step 3

$\csc (θ) = \frac{Hypotenuse}{Opposite}$ therefore $\csc (θ) = \frac{1}{0}$ .

$\frac{1}{0}$

Step 4

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

Undefined

Step 5

Approximate the result.

Undefined