Notes
Quiz yourself by thinking what should be in
each of the black spaces below before clicking
on it to display the answer.
Help!
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| Sine | In a right triangle, it is the ratio of the opposite leg to the hypotenuse.
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| Cosine | In a right triangle, it is the ratio of the adjacent leg to the hypotenuse.
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| Tangent | In a right triangle, it is the ratio of the opposite leg to the adjacent leg.
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| Cosecant | The reciprocal of Sine.
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| Secant | The reciprocal of Cosine.
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| Cotangent | The reciprocal of Tangent.
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| Arcsine | The inverse of Sine.
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| Arccosine | The inverse of Cosine.
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| Arctangent | The inverse of Tangent.
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| Standard Position | The initial side lies on the positive x-axis and the vertex is at the origin.
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| Radian | It is converted to degrees by multiplying by 180 degrees/Pi and is the measure of a central angle whose sides intercept an arc that is the same length as the radius of the circle.
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| Periodic | A function that repeats itself on a given interval.
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| Arc Length (Equation/Definition) | It is equal to the product of the measure of the radius of the circle r and the radian measure of the central angle theta that it subtends.
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| Area of a Sector (Equation/Definition) | Part of a circle bounded by the central angle and the intercepted arc. It is determined by taking one half of the radius squared times theta.
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| Angular Velocity (Equation/Definition) | Is the ratio of change in the central angle in radians to the time required for the change. Also represented by the Greek Letter Omega.
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| Linear Velocity | Is the ratio of change in the length to the time required for the change
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| Quadrantal Angle (Chapter #5) | The angles whose terminal sides lie on an axis.
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| The parts to y = A sin ( k@ - c) + h | A is the amplitude, k is used to determine the period, c is used to determine the phase shift, h is used to determine the vertical shift.
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| Amplitude | In a function y = A sin x, it is the absolute value of A.
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| Period (Equation/Definition) | It is found by taking 2 pi/k. It is the length on the domain of the graph where the function repeats.
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| Phase Shift (Equation/Definition) | A horizontal translation of a trigonometric function. It is found by taking c/k, where k >0. If c < 0, the shift is to the left. If c > 0, the shift is to the right.
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| Vertical Shift | It is the value h in the equation. If h>0, the graph moves upward. If h< 0, the graph moves downward
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| Dimensional Analysis | Is the process of treating unit labels as mathematical factor affected by division.
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Created by:
Chuckee23
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