Trigonometry Examples

$\sin (x) \cdot \cos (x) \cdot \sec (x) \cdot \csc (x)$

Rewrite in terms of sines and cosines, then cancel the common factors.

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Add parentheses.

$\sin (x) \cdot (\cos (x) \cdot \sec (x)) \cdot \csc (x)$

Reorder $\cos (x)$ and $\sec (x)$ .

$\sin (x) \cdot (\sec (x) \cdot \cos (x)) \cdot \csc (x)$

Rewrite $\sin (x) \cdot \cos (x) \cdot \sec (x) \cdot \csc (x)$ in terms of sines and cosines.

$\sin (x) \cdot (\frac{1}{\cos (x)} \cos (x)) \cdot \csc (x)$

Cancel the common factors.

$\sin (x) \cdot 1 \cdot \csc (x)$

Rewrite in terms of sines and cosines, then cancel the common factors.

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Reorder $\sin (x) \cdot 1$ and $\csc (x)$ .

$\csc (x) \cdot (\sin (x) \cdot 1)$

Remove parentheses.

$\csc (x) \cdot \sin (x) \cdot 1$

Rewrite $\sin (x) \cdot 1 \cdot \csc (x)$ in terms of sines and cosines.

$\frac{1}{\sin (x)} \sin (x) \cdot 1$

Cancel the common factors.

$1 \cdot 1$

Multiply $1$ by $1$ .

$1$

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