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I need help with this work for my pre calculus class

I Need Help With This Work For My Pre Calculus Class class=

Sagot :

Answer:

[tex]\begin{gathered} \frac{\sin \theta}{\cos \theta} \\ \\ \frac{1}{\cot \theta} \end{gathered}[/tex]

Explanation:

Let's consider the below right triangle;

From the above, we can see that sin0/cos0 is equivalent to tan0;

[tex]\begin{gathered} \sin \theta=\frac{a}{b} \\ \cos \theta=\frac{c}{b} \\ \tan \theta=\frac{a}{c} \\ \frac{\sin \theta}{\cos \theta}=\frac{\frac{a}{b}}{\frac{c}{b}}=\frac{a}{b}\times\frac{b}{c}=\frac{a}{c} \end{gathered}[/tex]

We also know that;

[tex]\begin{gathered} cot\theta=\frac{1}{\tan \theta} \\ \tan \theta=\frac{1}{\cot \theta} \end{gathered}[/tex]

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