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Problem 1

Fill in the blanks. $$\begin{aligned} &\begin{array}{llll} \text { Function } & \text { Alternative Notation } & \text { Domain } & \text { Range } \\ y=\arcsin x &\text { __________________ } &\text { __________ } &-\frac{\pi}{2} \leq y \leq \frac{\pi}{2} \\ \end{array}\\\\\end{aligned}$$

Problem 1

Fill in the blanks. A_______ measures the acute angle that a path or line of sight makes with a fixed north-south line.

Problem 1

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

Problem 1

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

Problem 1

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

Problem 1

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

Problem 2

Fill in the blanks. A point that moves on a coordinate line is said to be in simple _____ _____ when its distance \(d\) from the origin at time \(t\) is given by either \(d=a \sin \omega t\) or \(d=a \cos \omega t\)

Problem 2

Fill in the blanks. $$\begin{aligned} &\begin{array}{llll} \text { Function } & \text { Alternative Notation } & \text { Domain } & \text { Range } \\ \text { __________ } &\quad \quad y=\cos ^{-1} x &-1 \leq x \leq 1 &\text { __________ } \\ \end{array}\\\\\end{aligned}$$

Problem 2

Fill in the blanks. Relative to the acute angle \(\theta\), the three sides of a right triangle are the _____ side, the _____ side, and the _____.

Problem 2

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

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