91Ó°ÊÓ

Match each trigonometric function with its right triangle definition. (a) sine (b) cosine (c) tangent (d) cosecant (e) secant (f) cotangent (i) \(\frac{\text { hypotenuse }}{\text { adjacent }}\) (ii) \(\frac{\text { adjacent }}{\text { opposite }}\) (iii) \(\frac{\text { hypotenuse }}{\text { opposite }}\) (iv) \(\frac{\text { adjacent }}{\text { hypotenuse }}\) (v) \(\frac{\text { Opposite }}{\text { hypotenuse }}\) (vi) \(\frac{\text { opposite }}{\text { adjacent }}\)

Fill in the blanks. Two angles that have the same initial and terminal sides are __________ .

$$\begin{array}{lccc} \text { Function } & \text { Alternative Notation } & \text { Domain } & \text { Range } \\ y=\arcsin x & & & -\frac{\pi}{2} \leq y \leq \frac{\pi}{2} \end{array}$$

A _____ measures the acute angle that a path or line of sight makes with a fixed north-south line.

Fill in the blanks. One period of a sine or cosine function is called one ____ of the sine or cosine curve.

Use a graphing utility to graph the function. $$f(x)=\arctan (2 x-3)$$

Let \(\theta\) be an angle in standard position with \((x, y)\) a point on the terminal side of \(\theta\) and \(r=\sqrt{x^{2}+y^{2}} \neq 0.\) \(\frac{r}{y}=\) ________

Fill in the blanks. The _____ of a sine or cosine curve represents half the distance between the maximum and minimum values of the function.

Fill in the blanks. One ___________ is the measure of a central angle that intercepts an arc equal to the radius of the circle.

Fill in the blanks. A function \(f\) is _____ when there exists a positive real number \(c\) such that \(f(t+c)=f(t)\) for all \(t\) in the domain of \(f\).