Trigonometric Ratios and Fixed Lines Quiz

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5 Questions

In the context of trigonometric ratios, which side of a right-angled triangle is referred to as the hypotenuse?

Side opposite to the right angle

Which trigonometric ratio represents the ratio of the side opposite to an angle to the hypotenuse?

Sine

In which quadrant is the point O located, based on the given information?

Quadrant IV

Which side of a right-angled triangle is called the adjacent side or base?

Side adjacent to the angle

What is the name for the portion XOY, YOX', Y'OX, and XOY' in the context of the given text?

I

Study Notes

Trigonometric Ratios and Right-Angled Triangles

  • In a right-angled triangle, the hypotenuse is the side opposite the right angle (90° angle).

Trigonometric Ratio: Sine

  • The sine of an angle in a right-angled triangle represents the ratio of the side opposite to the angle to the hypotenuse.

Quadrant Location

  • The point O is located in the first quadrant, assuming all angles are acute (less than 90°).

Adjacent Side or Base

  • In a right-angled triangle, the adjacent side or base is the side adjacent to a given angle.

Units of Circular Functions

  • The portions XOY, YOX', Y'OX, and XOY' are referred to as quadrants in the context of trigonometry.

Test your understanding of trigonometric ratios and fixed lines XOX and YOY intersecting at right angles in this quiz. Explore concepts such as XOX' and YOY, the IV quadrant, and the revolving line OP tracing out angles in the I quadrant.

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