Trigonometry Examples

$\frac{1}{1 \sin (x)} + \frac{1}{- \sin (1)}$

Step 1

Cancel the common factor of $1$ .

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Step 1.1

Cancel the common factor.

$\frac{1}{1 \sin (x)} + \frac{1}{- \sin (1)}$

Step 1.2

Rewrite the expression.

$\frac{1}{\sin (x)} + \frac{1}{- \sin (1)}$

$\frac{1}{\sin (x)} + \frac{1}{- \sin (1)}$

Step 2

Convert from $\frac{1}{\sin (x)}$ to $\csc (x)$ .

$\csc (x) + \frac{1}{- \sin (1)}$

Step 3

Cancel the common factor of $1$ and $- 1$ .

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Step 3.1

Rewrite $1$ as $- 1 (- 1)$ .

$\csc (x) + \frac{- 1 (- 1)}{- \sin (1)}$

Step 3.2

Move the negative in front of the fraction.

$\csc (x) - \frac{1}{\sin (1)}$

$\csc (x) - \frac{1}{\sin (1)}$

Step 4

Convert from $\frac{1}{\sin (1)}$ to $\csc (1)$ .

$\csc (x) - \csc (1)$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$