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SS1 Third Term Further Mathematics Lesson Note – Trigonometric Ratios of General Angles

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WEEK 5

TOPIC: TRIGONOMETRIC RATIOS OF GENERAL ANGLES

CONTENT:

  • QUADRANTS AND ANGLES
  • BASIC TRIGONOMETRIC RATIOS
  • RATIOS OF GENERAL ANGLES
  • RATIOS FOR SPECIAL ANGLES

450, 600.

QUADRANTS AND ANGLES

The direction to which angles are measured can either be clockwise or anticlockwise. The plane is divided into four partitions by the  axes. Each partition is called a quadrant.

The Y – axis and X – axis divides the plane into 4 parts (or 4 quadrants) as shown in the figures below:

Angles are measured relative to the positive x-axis. A positive angle is measured anti-clockwise while a negative angle on the other hand is measured clockwise.

BASIC TRIGONOMETRIC RATIOS

In your Junior School, you learn about angles and how they are measured. Can you still recall how to find the sine of an angle? The below can guide you.

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