Question

For the function y= -1 + 6 cos( (2 pi/7)(x-5) ), what is the maximum value?

For the function y = -2 + 5 sin(pi/12(x-2) ), what is the minimum value?

Answer 1

the maximum of cosine is 1
the maximum of 6 times cosine is 6
the maximum of 6 times cosine - 1 is ...

Answer 2

3?

Answer 3

\[\left| \cos \theta \right|\le1,\]
max. value of y=-1+6*1=5

Answer 4

min.value of sine=-1
y=-2-5=-7