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