@mww
Can you help me w this 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?
the similarities & differences ??
here's what i answers for part 1 @jiteshmeghwal9 Part 1: Using complete sentences, compare the key features and graphs of sine and cosine. What are their similarities and differences? Part 1: similarities: their range is the same their period is the same they both repeat forever differences: the sine graph looks like a shifted version of the cosine graph 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
\[f(x)=3 \sin(4x- \pi)+4\]since\[sin x= cos (\frac{\pi}{2}-x)\]therefore\[f(x)=3\cos(\frac{\pi}{2}-(4x-\pi))+4\]
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