Write each expression in terms of sine and cosine, and then simplify so that no quotients appear in the final expression and all functions are of $θ$ only.
$(\sec θ + \csc θ) (\cos θ - \sin θ)$
$(\sec θ + \csc θ) (\cos θ - \sin θ) =$

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Finally, we simplify the expression to get $\cot θ - \tan θ$ .

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Step 1 ：First, we write each expression in terms of sine and cosine. We have that $\sec θ = \frac{1}{\cos θ}$ and $\csc θ = \frac{1}{\sin θ}$ . So, the expression becomes $(\frac{1}{\cos θ} + \frac{1}{\sin θ}) (\cos θ - \sin θ)$ .

Step 2 ：Next, we distribute the terms inside the parentheses. This gives us $\frac{\cos θ}{\cos θ} - \frac{\sin θ}{\cos θ} + \frac{\cos θ}{\sin θ} - \frac{\sin θ}{\sin θ}$ .

Step 3 ：Simplifying each term, we get $1 - \tan θ + \cot θ - 1$ .

Step 4 ：Finally, we simplify the expression to get $\cot θ - \tan θ$ .

Write each expression in terms of sine and cosine, and then simplify so that no quotients appear in the final expression and all functions are of θ only.(sec⁡θ+csc⁡θ)(cos⁡θ−sin⁡θ)(sec⁡θ+csc⁡θ)(cos⁡θ−sin⁡θ)=

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Write each expression in terms of sine and cosine, and then simplify so that no quotients appear in the final expression and all functions are of $θ$ only.
$(\sec θ + \csc θ) (\cos θ - \sin θ)$
$(\sec θ + \csc θ) (\cos θ - \sin θ) =$