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

$\sin \theta=\frac{O}{H},\cos \theta=\frac{A}{H},\tan \theta=\frac{O}{A}$

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,

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