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Questions and Answers
Is the reference angle for 160º 20º?
Is the reference angle for 160º 20º?
True
In Quadrant II, the x direction is negative, and cosine and tangent become negative.
In Quadrant II, the x direction is negative, and cosine and tangent become negative.
True
In Quadrant III, sine and cosine are negative.
In Quadrant III, sine and cosine are negative.
False
In Quadrant IV, sine and tangent are negative.
In Quadrant IV, sine and tangent are negative.
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The graph shows the mnemonic 'ASTC' to remember when Sine, Cosine, and Tangent are positive.
The graph shows the mnemonic 'ASTC' to remember when Sine, Cosine, and Tangent are positive.
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Study Notes
Sine, Cosine, and Tangent
- The primary trigonometric functions are Sine, Cosine, and Tangent.
- These functions are calculated by dividing the length of one side of a right-angled triangle by another side.
Cartesian Coordinates
- Points on a graph are marked by their distance along the x-axis (horizontal) and y-axis (vertical).
- For example, the point (12, 5) indicates 12 units along the x-axis and 5 units up the y-axis.
Four Quadrants
- The Cartesian plane is divided into four quadrants by the x and y axes, numbered counter-clockwise as I, II, III, and IV.
- In Quadrant III, both x and y coordinates are negative, as seen in the point C (−2, −1), which is located two units left and one unit down.
Reference Angle
- Angles can exceed 90º, but can be simplified by finding their equivalent angle below 90º, using the x-axis as a reference.
- A sketch can be helpful to visualize and determine the reference angle efficiently.
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Description
Learn about the three main functions in trigonometry: Sine, Cosine, and Tangent, and how to calculate them for different angles in the four quadrants using Cartesian Coordinates.
