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== Trigonometric Functions == Given a point, P(x, y), on the unit circle we can create a triangle by drawing the straight lines from the..."

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== Trigonometric Functions ==

Given a point, P(x, y), on the unit circle we can create a triangle by drawing the straight lines from the point to the x-axis and from P to the origin. This creates a triangle
with vertices P, (x, 0), and (0, 0). This also creates an angle starting at the x-axis and ending at the line segment from P to the origin. This allows us to define the six trigonometric(trig) functions
based on the cordinates of P. All of the trigonometric functions take the angle created by the mentioned line segment, when defined.

The '''sine''' function outputs the y coordinate of P.

The '''cosine''' function outputs the x coordinate of P.

The '''tangent''' function outputs the ratio of the x-ccordinate of P to the y-coordinate of P, so <math> \frac{y}{x}</math>

The '''cosecant''' function outputes the reciprocal of the sine function output, when defined. So when y is nonzero, the cosecant function outputs <math> \frac{1}{y}</math>

The '''secant''' function outputs the reciprocal of the cosine functions output, when defined.

The '''cotangent''' function outputs the reciprocal of the tangent functions output, when defined.

[[Math_5|'''Return to Topics Page]]

Trigonometric Functions - Revision history

MathAdmin: Created page with "__TOC__ == Trigonometric Functions == Given a point, P(x, y), on the unit circle we can create a triangle by drawing the straight lines from the..."

MathAdmin: Created page with "
TOC
== Trigonometric Functions == Given a point, P(x, y), on the unit circle we can create a triangle by drawing the straight lines from the..."