2. Trigonometric Functions on Right Triangles

Given the right triangle below, evaluate $\(\cos\]\theta\)$.

Given the right triangle below, evaluate $\(\tan\]\theta\)$.

If $\(\tan\]\theta\)=\(\frac{12}{5}\)$, find the values of the five other trigonometric functions. Rationalize the denominators if necessary.

If $\(\sin\]\theta\)=\(\frac{\sqrt{17}\)}{17}$, find the values of the five other trigonometric functions. Rationalize the denominators if necessary.

CONCEPT PREVIEW Fill in the blank(s) to correctly complete each sentence. Given tan θ = 1/cot θ , two equivalent forms of this identity are cot θ = 1/______ and tan θ . ______ = 1 .

CONCEPT PREVIEW Determine whether each statement is possible or impossible. sin θ = 1/2 , csc θ = 2

CONCEPT PREVIEW Determine whether each statement is possible or impossible. cos θ = 1.5

CONCEPT PREVIEW Determine whether each statement is possible or impossible. sin² θ + cos² θ = 2