Trigonometry Examples

$\sin (t) \csc (t) = 1$

Step 1

Start on the left side.

$\sin (t) \csc (t)$

Step 2

Apply the reciprocal identity to $\csc (t)$ .

$\sin (t) \frac{1}{\sin (t)}$

Step 3

Cancel the common factor of $\sin (t)$ .

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Step 3.1

Cancel the common factor.

$\sin (t) \frac{1}{\sin (t)}$

Step 3.2

Rewrite the expression.

$1$

Step 4

Because the two sides have been shown to be equivalent, the equation is an identity.

$\sin (t) \csc (t) = 1$ is an identity