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Tangent Function

"In right triangle trigonometry (for acute angles only), the tangent is defined as the ratio of the opposite side to the adjacent side. The unit circle definition is tan(theta)=y/x or tan(theta)=sin(t ...

Graphing Reciprocal Trigonometric Functions

"The three cofunction identities are useful because they can be used to convert, for example, sine into cosine or any trig function into its cofunction. When graphing reciprocal trigonometric function ...

Factoring Trigonometric Equations

"Solving second degree trig functions can be accomplished by factoring polynomials into products of binomials. When factoring trigonometric equations, we can use the zero product property to set up tw ...

Sine Waves

Hipervinculo Matemáticas

Sine Waves

"When finding the equation for a trig function, try to identify if it is a sine or cosine graph. To find the equation of sine waves given the graph, find the amplitude which is half the distance betwe ...

Sine Transformation

"In the equation y=Asin(B(x-h)), A modifies the amplitude and B modifies the period; see sine and cosine transformations. The constant h does not change the amplitude or period (the shape) of the grap ...

Sine Ratios

Hipervinculo Matemáticas

Sine Ratios

"Right triangles have ratios to represent the angles formed by the hypotenuse and its legs. Sine ratios, along with cosine and tangent ratios, are ratios of the lengths of two sides of the triangle. S ...

Evaluating the Tangent Function

"When evaluating the tangent function, to find values of the tangent function at different angles, we first identify the reference angle formed by the terminal side and the x-axis. Then, we find the t ...

Sine Definition

"The right triangle definitions of sine and cosine only apply to acute angles, so a more complete definition is needed. The point where the terminal side intersects the unit circle (x, y) is the basi ...

Sine and Cosine Transformations

"The coefficients A and B in y=Asin(Bx) or y=Acos(Bx) each have a different effect on the graph. If A and B are 1, both graphs have an amplitude of 1 and a period of 2pi. For sine and cosine transfor ...

Evaluating Sine

"If you want to make your math life incredibly easier, memorize the sine and cosine values for pi/3, pi/4, and pi/6, as well as 0, pi/2, and pi. These values constantly reappear throughout Trigonomet ...

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