Suppose ga 4 cos05a pi3 a What is the argument of the cosi

Suppose g(a) = 4 cos(0.5(a + pi/3)). a. What is the argument of the cosine function? (Enter an expression.) b. The argument of the cosine function represents what quantity? horizontal distance to the right of the vertical diameter (measured in radius lengths) number of seconds elapsed radius length angle measure (in radians) vertical distance above the horizontal diameter (measured in radius lengths) c. For the value of cosine to vary through a complete cycle of its outputs, the value of the argument must increase from 0 to d. For 0.5 (a + pi/3) = 0, the value of a must equal e. For 0.5 (a + pi/3) = 2pi, the value of a must equal f. For the value of cosine to vary through a complete cycle of its outputs, the value of the input of g must vary by g. What is the period of the function g?

Solution

We know that the time period of cosine is 2, hence for one complete cycle, the argument should increase from 0 to 2 OR from 0 to 6.28