Trigonometric Ratios

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What are the six trigonometric ratios?

The six trigonometric ratios are sine (sin), cosine (cos), tangent (tan), cotangent (cot), cosecant (cosec), and secant (sec).

What does trigonometry deal with in geometry?

Trigonometry deals with the sides and angles of a right-angled triangle in geometry.

What is the definition of trigonometric ratios?

Trigonometric Ratios are defined as the values of all the trigonometric functions based on the value of the ratio of sides in a right-angled triangle.

What is the opposite side in a right-angled triangle?

The opposite side is the perpendicular side of the right-angled triangle.

What is the adjacent side in a right-angled triangle?

The adjacent side is the base of the right-angled triangle.

Study Notes

Trigonometric Ratios and Right-Angled Triangles

  • There are six trigonometric ratios: sine, cosine, tangent, cosecant, secant, and cotangent.

Trigonometry in Geometry

  • Trigonometry deals with the relationships between the sides and angles of triangles, particularly right-angled triangles.

Definition of Trigonometric Ratios

  • Trigonometric ratios are defined as the ratios of the sides of a right-angled triangle to one another.

Sides of a Right-Angled Triangle

  • The opposite side in a right-angled triangle is the side opposite a given angle.
  • The adjacent side in a right-angled triangle is the side adjacent to a given angle, not the hypotenuse.

Test your knowledge of trigonometric ratios with this quiz! Learn about the definitions, formulas, and examples of the six trigonometric ratios: sine, cosine, tangent, cotangent, cosecant, and secant. Explore how these ratios are used in geometry to solve problems involving right-angled triangles.

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