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 (C)</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. (B)</p> Signup and view all the answers

Flashcards

Trigonometric Ratios

Ratios of sides in a right-angled triangle related to acute angles.

sin θ

Ratio of opposite side to hypotenuse.

cos θ

Ratio of adjacent side to hypotenuse.

tan θ

Ratio of opposite side to adjacent side.

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Reciprocal trigonometric ratios

Relationships between trigonometric functions

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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!

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