for
Section 2: The Six Trigonometric Functions
1. Modeling with the Sine Function | 2. The Six Trigonometric Functions | 3. Derivatives of Trigonometric Functions | Trigonometric Functions Main Page | "RealWorld" Page | Everything for Calculus |
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In the following graphs, the first-named function appears in red; the second-named function in yellow.
1.
3.
5.
7.
9.
13. $g(x) = 4 - 1.3\sin[\pi/2-2.3(x-4)]$
15. $f(x) = \cos(2\pix)$
17. $f(x) = 1.5\cos(4\pi(x-0.375))$
19. $f(x) = 40\cos(\pi(x-10)/10) + 40$
21. $\sin^2x + \cos^2x = 1$ gives, upon division by $\cos^2x,$ $\tan^2x + 1 = 1/ \cos^2x = \sec^2x.$
23. $(\sqrt{3})/2$
31. $4s(t) = 7.5\cos(\pit/6) + 87.5$
33. $y_{1}$ is shown in black, $y_{3}$ in red, and $y_{5}$ in yellow.
Here is its graph.
35. The period is approximately $12.6$ units
1. Modeling with the Sine Function | 2. The Six Trigonometric Functions | 3. Derivatives of Trigonometric Functions | Trigonometric Functions Main Page | "RealWorld" Page | Everything for Calculus |
Return to Exercises |
Stefan Waner (matszw@hofstra.edu) | Steven R. Costenoble (matsrc@hofstra.edu) |