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Trigonometric Ratios Quiz

Created by
@HumbleTransformation

Which of the following describes the trigonometric ratio?

• A ratio of two sides of an acute triangle
• A ratio of two sides of a right triangle (correct)
• A ratio of two angles of an acute triangle
• A ratio of two angles 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?

• Sine
• Cotangent
• Tangent
• Cosine (correct)
• What is the ratio of the length of the side opposite an acute angle to the length of the hypotenuse called?

• Cosine
• Sine (correct)
• Tangent
• Cotangent
• Which of the following is the trigonometric ratio for a 30-degree angle in a right triangle?

<p>sin(30°)</p> Signup and view all the answers

What is the trigonometric ratio for a 45-degree angle in a right triangle?

<p>tan(45°)</p> Signup and view all the answers

What is the trigonometric ratio for a 60-degree angle in a right triangle?

<p>cos(60°)</p> Signup and view all the answers

Which of the following is the trigonometric ratio for a 90-degree angle in a right triangle?

<p>None of the above</p> Signup and view all the answers

What is the trigonometric ratio for a 0-degree angle in a right triangle?

<p>Cosine</p> Signup and view all the answers

What is the trigonometric ratio for a 45-degree angle in a right triangle?

<p>Sine</p> Signup and view all the answers

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.

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Description

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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