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Trigonometric Ratios and Relationships

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Questions and Answers

What is the sine of an angle in a right-angled triangle, expressed using cosecant?

sin θ = 1 / cosec θ (correct)

cosec θ = 1 / sin θ (correct)

sin θ = cot θ

sin θ = cosec θ

Which of the following is correct regarding the cotangent function?

cot θ = sec θ / cosec θ

cot θ = tan θ

cot θ = 1 / tan θ (correct)

cot θ = 1 / sin θ

How is the cosine of an angle related to secant?

cos θ = 1 / sec θ (correct)

cos θ = sec θ / 1

sec θ = 1 / cos θ (correct)

sec θ = cos θ

What is the relationship between tangent and cotangent?

<p>tan θ = 1 / cot θ</p> Signup and view all the answers

Which of the following statements about trigonometric ratios is accurate?

<p>Trigonometric ratios can only be applied to right-angled triangles.</p> Signup and view all the answers

Study Notes

Trigonometric Ratios

Trigonometric ratios are ratios of sides of a right-angled triangle.
Ratios are based on acute angles.
Ratios are also called T-ratios.
The angle of reference is an acute angle.

Relationships in Trigonometry

cos θ = 1/sec θ
sec θ = 1/cos θ
sin θ = 1/cosec θ
cosec θ = 1/sin θ

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Description

This quiz explores the fundamental concepts of trigonometric ratios within right-angled triangles. It covers the relationships between sine, cosine, secant, and cosecant, providing a solid foundation for students to understand trigonometry. Test your knowledge of these essential mathematical principles!