Question

Part 1: Using complete sentences, compare the key features and graphs of sine and cosine. What are their similarities and differences?
Part 2: Using these similarities and differences, how would you transform f(x) = 3 sin(4x - π) + 4 into a cosine function in the form f(x) = a cos(bx - c) + d?

Answer 1

Part 1: Similarities of sine and cosine graphs are that both has an amplitude of 1 and a period of 2pi.
A differences between sin and cos graphs includes that sin graph passes through point (0, 0).

The required cosine graph is f(x) = 3 cos(4x - 3π/2) + 4