Reciprocal Trigonometric Functions on the Unit Circle definitions Flashcards
Reciprocal Trigonometric Functions on the Unit Circle definitions
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Unit Circle A circle with radius 1 centered at the origin, used to define trigonometric function values based on coordinates. Sine A trigonometric function representing the y-coordinate of a point on the unit circle at a given angle. Cosine A trigonometric function representing the x-coordinate of a point on the unit circle at a given angle. Tangent A trigonometric function found by dividing the y-coordinate by the x-coordinate on the unit circle. Cosecant A reciprocal trigonometric function equal to one divided by the y-coordinate on the unit circle. Secant A reciprocal trigonometric function equal to one divided by the x-coordinate on the unit circle. Cotangent A reciprocal trigonometric function equal to the x-coordinate divided by the y-coordinate on the unit circle. Reciprocal Trigonometric Functions Functions obtained by taking the reciprocal of sine, cosine, and tangent, resulting in cosecant, secant, and cotangent. Angle A measure, often in degrees or radians, that determines a point's position on the unit circle. Pi Over Six A specific angle on the unit circle, equivalent to 30 degrees, often used in trigonometric examples. Pi Over Four A specific angle on the unit circle, equivalent to 45 degrees, where x and y coordinates are equal. Reciprocal A mathematical operation that inverts a value, such as flipping a fraction or taking one divided by a number. X Value The horizontal coordinate of a point on the unit circle, representing the cosine of an angle. Y Value The vertical coordinate of a point on the unit circle, representing the sine of an angle.
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