What is the shortest horizontal shift of a sine curve that will turn it into a cosine curve?

1 answer:

3 0

The shortest horizontal shift of a sine curve that will turn it into a cosine curve is a shift of 90°( π/2 radians).

The function y = sin x defines a sine wave as a geometric waveform that oscillates (moves up, down, or side to side) frequently. It is an s-shaped, smooth wave that oscillates above and below zero, to put it another way.

Technical analysis and trading both employ sine waves to assist spot oscillator-related patterns and cross-overs.

Similar to the sine graph, the cosine graph is an up-down graph. The sine graph and cos graph are identical except that the sine graph begins at 0, whereas the cos graph begins at 90° (or π/2). The cosine (cos) graph shown below starts at 1 and drops to -1 before rising once again.

Thus, the shortest horizontal shift of a sine curve that will turn it into a cosine curve is a shift of 90°( or π/2 radians).

Learn more about sine and cosine curves at

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Find the vertex of this function f(x)= x^2+4x-12

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F(x) = x² + 4x - 12

x = -b/2a
x = -(4)/2(1)
x = -4/2
x = 2

f(x) = x² + 4x - 12
f(2) = (2)² + 4(2) - 12
f(2) = 4 + 8 - 12
f(2) = 12 - 12
f(2) = 0

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