a) Determine the equation of a sine function that would have a range of {y€R|-7<(or equal) Y <(or equal) 1} and a period of 135degrees.

Question

b) determine the cosine function that results in the same function an part (a).

Any help provided will be greatly appreciated.

Answer 1

your range is 8, so you need
4cos ??

period = 360/k
360/k = 135
135k = 360
k = 8/3

so far we have
y = 4cos (8/3)Ø

that would give us a max value of 4, but we want our max to be 1, so we have to drop our curve by 3 units

final:
y = 4cos(8/3)Ø - 3

Answer 2

Ok I was wondering why the zero with the slash was in the equation, i have never seen that before!