Math 114 Worksheet for 30 Oct 3.3, 3.4, 4.1 1. Given the point is on a unit circle, complete the ordered pair (x, y) for the quadrant indicated. • (x, −0.8); QIII • 5 , y ; QIV 13 2. Verify the point given is on a unit circle, then use symmetry to find three more points on the circle. ! √ 3 1 , • − 2 2 √ • 7 3 ,− 4 4 ! 3. Without the use of a calculator, state the exact value of the trig functions for the given angle. A diagram will help. π • sin 4 7π • sin − 4 3π 2 5π 4 7π 3 • cos • cos • tan • tan (0) • sec (−π) 1 4. Without using a calculator, find the two values of θ in [0, 2π) that make each equation true. √ • sec θ = − 2 2 • csc θ = − √ 3 • tan θ = undefined • csc θ = undefined √ • sin θ = 2 2 • sin θ = 0 • cos θ = −1 (only one answer) 5. Clearly state the amplitude and period of each function, then match it with the corresponding graph in Figure 1. • y = −2 cos(4t) • y = 2 sin(4t) • y = 3 sin(2t) • y = −3 cos(2t) • y= 3 4 cos(0.4t) • y= 7 4 cos(0.8t) 6. The graphs shown in Figure 2. are of the form y = A cos(Bt). Use the characteristics illustrated for each graph to determine its equation. 2 Figure 1: Figure 2: 3

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