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Questions and Answers
Which trigonometric functions are abbreviated as sin, cos, and tan?
What is the ratio of the opposite side to the hypotenuse in a right-angled triangle?
Which angle is often labeled as θ in trigonometry?
What is the ratio of the adjacent side to the hypotenuse in a right-angled triangle?
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Which trigonometric function is defined as the ratio of the opposite side to the adjacent side in a right-angled triangle?
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Which trigonometric function is defined as the ratio of the opposite side to the adjacent side in a right-angled triangle?
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In a right-angled triangle, if the length of the hypotenuse is 10 units and the length of the opposite side is 8 units, what is the value of the sine of the angle between the hypotenuse and the opposite side?
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If the length of the adjacent side in a right-angled triangle is 5 units and the length of the hypotenuse is 13 units, what is the value of the cosine of the angle between the adjacent side and the hypotenuse?
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Study Notes
Trigonometric Functions
- The abbreviations sin, cos, and tan represent the sine, cosine, and tangent functions, respectively.
- The sine function is defined as the ratio of the opposite side to the hypotenuse in a right-angled triangle.
- The cosine function is defined as the ratio of the adjacent side to the hypotenuse in a right-angled triangle.
- The tangent function is defined as the ratio of the opposite side to the adjacent side in a right-angled triangle.
Applying Trigonometric Functions
- If the length of the hypotenuse is 10 units and the length of the opposite side is 8 units, the value of the sine of the angle between the hypotenuse and the opposite side is 8/10 or 0.8.
- If the length of the adjacent side is 5 units and the length of the hypotenuse is 13 units, the value of the cosine of the angle between the adjacent side and the hypotenuse is 5/13 or approximately 0.38.
Notation and Labeling
- The angle is often labeled as θ (theta) in trigonometry.
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Description
Test your knowledge on the basics of Trigonometry with this quiz! Explore the concepts of angles, distances, and right-angled triangles commonly used in science, engineering, and video games.
