For Exercises 47—50, use the unit circle and the period of the function to evaluate the expression. (See Example 4) 48. a. cot ( − 19 π 3 ) b. sin 510 ° c. sec ( − 13 π 2 )
For Exercises 47—50, use the unit circle and the period of the function to evaluate the expression. (See Example 4) 48. a. cot ( − 19 π 3 ) b. sin 510 ° c. sec ( − 13 π 2 )
For Exercises 47—50, use the unit circle and the period of the function to evaluate the expression. (See Example 4)
48.
a.
cot
(
−
19
π
3
)
b.
sin
510
°
c.
sec
(
−
13
π
2
)
Two-dimensional figure measured in terms of radius. It is formed by a set of points that are at a constant or fixed distance from a fixed point in the center of the plane. The parts of the circle are circumference, radius, diameter, chord, tangent, secant, arc of a circle, and segment in a circle.
What is the frequency of the periodic function f(θ)= 2 tan(2θ/3)?
A
2
B
13
C
23
D
1
Complete the table comparing the values of f (x) = cos xand P2(x). What do you observe?
Scientists sometimes use the formulaf (t) =a sin (bt + c) + d to simulate temperature variations during the day, with time t in hours, temperature f (t) in C, and t = 0 corresponding to midnight. Assume that f (t) is decreasing at midnight. (a) Determine values of a, b, c, and d that fit the information. ,(b) Sketch the graph of f for 0 < t <24.
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