In Exercises 5-7, find all the exact t-values for which the given statement is true,

5. cos t= 1

6. sin t - 1/2

7. tan t = negative square root of 3

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Step-by-step explanation:

NOTE: You need the Unit Circle to answer these (attached)

5) cos (t) = 1

Where on the Unit Circle does cos = 1?

at 0π (0°) and all rotations of 2π (360°)

In radians:     t = 0π + 2πn

In degrees:   t = 0° + 360n

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Where on the Unit Circle does  

Hint: sin is only positive in Quadrants I and II

In degrees:    t = 30° + 360n  and  150° + 360n

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Where on the Unit Circle does    

Hint: sin and cos are only opposite signs in Quadrants II and IV

In degrees:    t = 120° + 360n  and  300° + 360n

the answers are in the images, i received 100% on this assignment. hope this !

constant of proportionality = 3 and the equation is c = 3p.

step-by-step explanation:

c = kp   where c = amount of caffeine in mg., p = oz of pepsi and k is the constant of proportionality.

substituting the values given:

24 = 8k

k = 3.

the same value of k will be obtained if we substitute the other given values.