9 Questions
Which of the following describes the trigonometric ratio?
A ratio of two sides of a right triangle
What is the ratio of the length of the side adjacent to an acute angle to the length of the hypotenuse called?
Cosine
What is the ratio of the length of the side opposite an acute angle to the length of the hypotenuse called?
Sine
Which of the following is the trigonometric ratio for a 30-degree angle in a right triangle?
sin(30°)
What is the trigonometric ratio for a 45-degree angle in a right triangle?
tan(45°)
What is the trigonometric ratio for a 60-degree angle in a right triangle?
cos(60°)
Which of the following is the trigonometric ratio for a 90-degree angle in a right triangle?
None of the above
What is the trigonometric ratio for a 0-degree angle in a right triangle?
Cosine
What is the trigonometric ratio for a 45-degree angle in a right triangle?
Sine
Study Notes
Trigonometric Ratios
- The ratio of the length of the side adjacent to an acute angle to the length of the hypotenuse is called cosine.
- The ratio of the length of the side opposite an acute angle to the length of the hypotenuse is called sine.
- The ratio of the length of the side opposite an angle to the length of the side adjacent to the angle is called tangent.
- The trigonometric ratio for a 30-degree angle in a right triangle is 1/2.
- The trigonometric ratio for a 45-degree angle in a right triangle is 1/√2 or √2/2.
- The trigonometric ratio for a 60-degree angle in a right triangle is √3/2.
- There is no trigonometric ratio for a 90-degree angle in a right triangle, as the ratio is undefined.
- The trigonometric ratio for a 0-degree angle in a right triangle is 0.
Test your knowledge of Trigonometric Ratios with this quiz! Challenge yourself to identify the ratios of sides in right triangles and understand their applications in solving problems related to angles and distances.
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