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Write the ratios for sim m, cos m, and tan m

Write the ratios for sim m, cos m, and tan m-example-1
User Yohst
by
6.8k points

1 Answer

3 votes

Notice that we are dealing with a right triangle; therefore, we can use the following trigonometric identities


\sin \theta=(O)/(H),\cos \theta=(A)/(H),\tan \theta=(O)/(A)

In our case,


M=\theta,O=\sqrt[]{651},A=5,H=26

Thus,


\begin{gathered} \Rightarrow\sin M=\frac{\sqrt[]{651}}{26} \\ \Leftrightarrow\sin M\approx0.9813 \end{gathered}

Similarly,


\begin{gathered} \cos M=(5)/(26) \\ \Leftrightarrow\cos M\approx0.1923 \\ \tan M=\frac{\sqrt[]{651}}{5} \\ \Leftrightarrow\tan M\approx5.1029 \end{gathered}

User John Slavick
by
5.9k points
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