Trigonometry Examples

cot (θ) sec (θ)

$\cot (θ) \sec (θ)$

Step 1

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

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Step 1.1

Rewrite

cot (θ) sec (θ)

$\cot (θ) \sec (θ)$ in terms of sines and cosines.

\frac{cos (θ)}{sin (θ)} \cdot \frac{1}{cos (θ)}

$\frac{\cos (θ)}{\sin (θ)} \cdot \frac{1}{\cos (θ)}$

Step 1.2

Cancel the common factors.

\frac{1}{sin (θ)}

$\frac{1}{\sin (θ)}$

\frac{1}{sin (θ)}

$\frac{1}{\sin (θ)}$

Step 2

Convert from

\frac{1}{sin (θ)}

$\frac{1}{\sin (θ)}$ to

csc (θ)

$\csc (θ)$ .

csc (θ)

$\csc (θ)$