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

I can help you with part 1 but not part 2

Answer 2

Okay

Answer 3

So basically, the main part about the sin and cos graph is,

The sin graph will always pass through (0, 0). The cos graph will not.
If the graph is 2cosx, it will pass through (0, 2)

Answer 4

Here is what the 2cosx and 2sinx graphs look like

Answer 5

How high the graphs go depend on the amplitude.
2cosx
4sinx
3972478cosx

The amplitudes here are
2, 4, 3972478

Answer 6

Okay what about Part 2?

Answer 7

I can't help you with part 2, remember? :/

Answer 8

Oh, but this is what they'll look like

Answer 9

So if you graph the sin one above, all you do is move the cos one over because it can't cross the origin

Answer 10

Guess I could help you with part 2 c:

Answer 11

So what do I write as the answer?

Answer 12

Draw from my explanation to answer the question

Answer 13

I don't know how?

Answer 14

@Hero @saifoo.khan @jdoe0001 @whpalmer4 @thomaster @SolomonZelman @e.mccormick @AccessDenied @RadEn @robtobey

Answer 15

@gamer456148

Answer 16

Part 1:
The sin graph will always pass through (0, 0). The cos graph will not. If the graph is 2cosx, it will pass through (0, 2)

How high the graphs go depend on the amplitude.
2cosx
4sinx
3972478cosx
The amplitudes here are 2, 4, 3972478

Part 2:
sin x = cos(π/2 - x)
f(x) = 4 sin(2x - π) + 3
= 4 cos[π/2 - (2x - π)] + 3
= 4 cos[-2x + 3π/2] + 3
= 4 cos[-(2x - 3π/2)] + 3
= 4 cos(2x - 3π/2) + 3