Question

sin k = opp/hyp =
cos k = adj/hyp =
tan k = opp/adj =

Explanation:

Step1: Find the values for sine

For \(\sin K=\frac{\text{opp}}{\text{hyp}}\), the side opposite to angle \(K\) (\(\text{opp}\)) is \(21\), and the hypotenuse (\(\text{hyp}\)) is \(29\). So \(\sin K=\frac{21}{29}\)

Step2: Find the values for cosine

For \(\cos K=\frac{\text{adj}}{\text{hyp}}\), the side adjacent to angle \(K\) (\(\text{adj}\)) is \(20\), and the hypotenuse (\(\text{hyp}\)) is \(29\). So \(\cos K = \frac{20}{29}\)

Step3: Find the values for tangent

For \(\tan K=\frac{\text{opp}}{\text{adj}}\), the side opposite to angle \(K\) (\(\text{opp}\)) is \(21\), and the side adjacent to angle \(K\) (\(\text{adj}\)) is \(20\). So \(\tan K=\frac{21}{20}\)

Answer:

\(\sin K=\frac{21}{29}\), \(\cos K=\frac{20}{29}\), \(\tan K=\frac{21}{20}\)