Trigonometry Examples

$\frac{\sin (0)}{\csc (0) + \cos (0)} + \frac{\sin (0)}{\csc (0) - \cos (0)} = 2$

Step 1

Simplify the left side.

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Step 1.1

Simplify $\frac{\sin (0)}{\frac{1}{0} + \cos (0)} + \frac{\sin (0)}{\csc (0) - \cos (0)}$ .

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Step 1.1.1

Rewrite $\csc (0)$ in terms of sines and cosines.

$\frac{\sin (0)}{\frac{1}{0} + \cos (0)} + \frac{\sin (0)}{\frac{1}{\sin (0)} - \cos (0)} = 2$

Step 1.1.2

The exact value of $\sin (0)$ is $0$ .

$\frac{\sin (0)}{\frac{1}{0} + \cos (0)} + \frac{\sin (0)}{\frac{1}{0} - \cos (0)} = 2$

Step 1.2

The equation cannot be solved because it is undefined.

$Undefined$

Step 2

The left side has no solution, which means that the given statement is false.

False