Question

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

Answer 1

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}`