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Find sectheta costheta, and cottheta where theta is the angle show in the figure

Find sectheta costheta, and cottheta where theta is the angle show in the figure-example-1

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We will have the following:

We first determine the missing side of the triangle:


x=\sqrt{17^2-8{}^2}\Rightarrow x=15

Now, we determine the expressions:


\begin{gathered} sec(\theta)=(17)/(8) \\ \\ \\ cos(\theta)=(8)/(17) \\ \\ \\ cot(\theta)=(8)/(15) \end{gathered}

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