College Algebra & Trigonometry, 2018a

9.2. GRAPHING TRIGONOMETRIC FUNCTIONS 401
θ sin θ θ sin θ
0 ◦ =0 100 ◦ ≈ 0.9848
10 ◦ ≈ 0.1737 110 ◦ ≈ 0.9397
20 ◦ ≈ 0.3420 120 ◦ ≈ 0.8660
30 ◦ ≈ 0.5 130 ◦ ≈ 0.7660
40 ◦ ≈ 0.6428 140 ◦ ≈ 0.6428
50 ◦ ≈ 0.7660 150 ◦ ≈ 0.5
60 ◦ ≈ 0.8660 160 ◦ ≈ 0.3420
70 ◦ ≈ 0.9397 170 ◦ ≈ 0.1737
80 ◦ ≈ 0.9848 180 ◦ =0
90 ◦ =1
θ sin θ θ sin θ
180 ◦ =0 280 ◦ ≈−0.9848
190 ◦ ≈−0.1737 290 ◦ ≈−0.9397
200 ◦ ≈−0.3420 300 ◦ ≈−0.8660
210 ◦ ≈−0.5 310 ◦ ≈−0.7660
220 ◦ ≈−0.6428 320 ◦ ≈−0.6428
230 ◦ ≈−0.7660 330 ◦ = −0.5
240 ◦ ≈−0.8660 340 ◦ ≈−0.3420
250 ◦ ≈−0.9397 350 ◦ ≈−0.1737
260 ◦ ≈−0.9848 360 ◦ =0
270 ◦ = −1
If we create a similar table for the function y = sin(2x) , then we can see how
this will affect the graph:
θ 2θ sin(2θ) θ 2θ sin(2θ)
0 ◦ 0 ◦ =0 100 ◦ 200 ◦ ≈−0.3420
10 ◦ 20 ◦ ≈ 0.3420 110 ◦ 220 ◦ ≈−0.6428
20 ◦ 40 ◦ ≈ 0.6428 120 ◦ 240 ◦ ≈−0.8660
30 ◦ 60 ◦ ≈ 0.8660 130 ◦ 260 ◦ ≈−0.9848
40 ◦ 80 ◦ ≈ 0.9848 140 ◦ 280 ◦ ≈−0.9848
50 ◦ 100 ◦ ≈ 0.9848 150 ◦ 300 ◦ ≈−0.8660
60 ◦ 120 ◦ ≈ 0.8660 160 ◦ 320 ◦ ≈−0.6428
70 ◦ 140 ◦ ≈ 0.6428 170 ◦ 340 ◦ ≈−0.3420
80 ◦ 160 ◦ ≈ 0.3420 180 ◦ 360 ◦ =0
90 ◦ 180 ◦ =0