The phase shift formula for a trigonometric function, such as y = Asin(Bx - C) + D or y = Acos(Bx - C) + D, is represented as C / B. If C / B is positive, the curve moves right, and if it is negative, the curve moves lef... More »

The general equation for a sine wave is y = Asin(B(x-C)) + D, where A and B are positive. A sinusoidal wave is any curve that can be written using that formula. More »

The half-angle formula is used to integrate the function sine when it is taken to a power, such as sine squared and sine to the power of 6. The half-angle formula is used to eliminate exponents from the integral, stating... More »

To find the equation of a line that is tangent to a curve, you must find a line with the same slope as that point of the curve. This can be done with a graphing calculator that can give the slope at a particular point or... More »

The cosine curve is an up-down curve which starts at one and heads down until ? radians (180 degrees) and then heads up again. Plotting of the cosine of an angle against that angle measure results in a classic shape simi... More »

The apex of a curve is its highest point. Geometric use of the term "apex" generally refers to solids or to shapes with corners such as triangles. In autoracing and other motor sports, the apex is the point on the track ... More »

According to the University of California, San Diego (UCSD), a parabolic curve, or "parabola," is the graphical representation of a quadratic equation. To draw one, the points of a function are plotted on an x-y coordina... More »