Student Exploration: Sine Function Vocabulary: odd function, period, radian, reference triangle, sine, trigonometric function, unit circle Prior Knowledge Questions (Do these BEFORE using the Gizmo.) 1. The sine of angle 0 of a right triangle is the length opposite of the opposite leg divided by the hypotenuse. sin(0) = hypotenuse 5 3 The legs of the right triangle to the right have lengths of 3 units and 4 units, and the hypotenuse is 5 units. What is the sine of angle ? sin(0) = 3/4 (x, y) 2. A right triangle is placed in a circle whose center is at the ry origin of a coordinate plane, as shown to the right. A. What is sin(0)? sin(0) = y/r B. What is sin(0) if r = 1? sin(0) = y/1 ory Gizmo Warm-up The sine function y = sin(0) is a trigonometric function. When 0 is in standard position, with its vertex at the center of a circle, sin(0) is the y-value of the point where 0 intersects the circle. In the Sine Function Gizmo, you will explore the sine function and its graph. 1. On the SINE tab, turn on Show reference triangle. Then, with Degrees selected, drag the slider slowly from 0 to 180. A What happens to the value of sin(8) as A goes from Of to 180