.
a) The unit circle with point P and the principal standard position angle theta drawn to the terminal arm containing point P is shown in the figure below.
b) The exact value of x is -2/3.
c) The exact values of the six trigonometric ratios for theta are:
sin(theta) = -2/3
cos(theta) = -1/3
tan(theta) = -2
csc(theta) = -3/2
sec(theta) = -3
cot(theta) = 2
d) The coterminal angles to theta in the interval -4pi is less than or equal to theta and less than or equal to 4pi are:
theta + 2pi, theta + 4pi, theta - 2pi, theta - 4pi.
the point P(x, -2/3) lies on the unit circle and is in quadrant 4.
a) sketch the unit circle showing the point P and the principal statndard position angel theta drawn to the terminal arm containing point P.
b) determine the exact value of x.
c) determine the exact value of the six trigonometric ratios for theta.
d) determine all coterminal angles to theta in the interval -4pi is less than or equal to theta and less than or equal to 4pi
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