1. Rewrite function with the positive angle, and then graph resulting function
y = 3sin (-7x) - Rewrite function with the positive angle and graph.
2. Determine amplitude, period, displacement of function.
y = 30cos (1/4x + pi/3) - Amp = 30, Period = 8pi, need to verify displacement?
3. Determine amplitude, period, displacement of function.
y = 2 sin (pi x + 5) - Amp = 2, Period = 2, need to verify displacement?
4. Angular displacement of Theta of the certian pendulum bob in terms of intial displacement
Theta 0 is = Theta 0 cos wt. If w = 9.00 rad/s and Theta 0 = pi/33 rad, draw two cycles for resulting equation.
5. In checking electric circuit elements, sawtooth wave such as that shown here may be displayed on the O-scope.
Display graph of y = 1 -(56)/(pi2) * (cos((pi x)/(14)) + 1/9cos((3pix)/(14)))
6. Prove identity.
sinx * secx + cosx * csc x = secx * csc x
7. Prove by expressing each function in terms of x, y, and r definiton.
csc(Theta) / tan(Theta) + cot(Theta)
8. Solve following trignometric equation analytically (using identities if essential for exact values if possible) for values of x for Theta <= x < 2pi.
sin16(x) cos15(x) - cos(16x) sin15(x) = 0