Corresponding angles are created when a line, known as a transversal, intersects two parallel lines. The angle measures created by the transversal and either parallel line are equal and known as the corresponding angles of the transversal. Due to the equality between angles, it is possible to discern properties of one corresponding angle by examining a known corresponding angle. The relationship between the unit circle and trigonometric functions makes deriving the "x" value possible. Specifically, when attempting to discern the "x" coordinate of an angle, use the cosine function to evaluate the properties of the triangle.
- Scientific calculator (in radian mode)
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Instructions
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1
Set the scientific calculator to radian mode.
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2
Press the "Cos" button on the scientific calculator. Pressing this button presents the user with an angle input screen similar to "Cos( ".
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3
Insert the angle into the cosine function and press the closing parentheses button on the calculator. The screen should appear similar to "Cos(π / 4)," where the value within the parentheses is the angle being evaluated.
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4
Press the "Answer" or "Enter" button on the scientific calculator. The value returned is the "x" coordinate of the angle used in terms of the unit circle. In the example, Cos(π / 4) = √2 / 2.