04.05b precalculus question

Mathematics
Tutor: None Selected Time limit: 1 Day

May 14th, 2015

1. The amplitude is  1; The amplitude is the number that appears before the cos( theta), and that is 1.

2. The period is how often it repeats, and the is 2π radians or  360° 

3. The domain is all real numbers, because for all values of x, there's a value of y.

4.The range is [-1,1] because the y values go up to and including 1 and down to and including -1

5. The x-intercepts are at π(1/2 ± n), where the angle is in radians and n is any integer,
positive or negative.  In degrees, it is 180(1/2 ± n)°.


The graph of the cosine function has even symmetry since cos(- (theta)) = cos(theta). On the unit circle, x = cos(theta), and because the unit circle is symmetrical across the x-axis, an arc length of () and (-) produce the same x coordinate.

May 14th, 2015

() represents theta. 

Hint: plot the graph.


May 14th, 2015

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