Mathematics · 1st secondary · First Term

Trigonometry — Trigonometric Functions

About this lesson

This unit introduces the basic trigonometric functions and their reciprocals, building on prior knowledge of right-angled triangle ratios. It defines sine, cosine, and tangent using the unit circle, and introduces secant, cosecant, and cotangent as reciprocals. The text explains how to determine the signs of these functions in each quadrant, and provides methods for finding trigonometric ratios for angles in standard position, including special angles like 0°, 30°, 45°, 60°, 90°, 180°, 270°, and 360°. Students learn to compute values using coordinates on the unit circle and to solve problems involving given conditions, such as finding all ratios when one ratio and the quadrant are known. The unit includes worked examples, exercises, and critical thinking questions to reinforce understanding.

Main topics in this lesson

  • Unit circle definition of trigonometric functions
  • Reciprocal trigonometric functions (sec, csc, cot)
  • Signs of trigonometric functions in quadrants
  • Trigonometric ratios of special angles
  • Finding trigonometric ratios from coordinates or given conditions

Key terms and vocabulary

  • trigonometric functions
  • sine (sin)
  • cosine (cos)
  • tangent (tan)
  • secant (sec)
  • cosecant (csc)
  • cotangent (cot)
  • unit circle
  • standard position
  • terminal side
  • quadrants
  • special angles

Questions and answers on Trigonometry — Trigonometric Functions - practice and revision

Multiple choice questions on this lesson in Mathematics for 1st secondary, First Term, with practice exercises for revision and exam preparation.

1

إذا كانت ظا θ = 1 وكانت θ في الربع الثالث، فما قيمة ظتا θ؟

  • 1 1
  • 2 -1
  • 3 0
  • 4 غير معرف
2

إذا كانت جتا θ = √2/2 وكانت θ في الربع الرابع، فما قيمة قا θ؟

  • 1 √2
  • 2 -√2
  • 3 √2/2
  • 4 2
3

إذا كانت جا θ = 1/2 وكانت θ في الربع الأول، فما قيمة قتا θ؟

  • 1 2
  • 2 1/2
  • 3 -2
  • 4 √3/2
4

إذا كانت جتا θ = -1/2 وكانت θ في الربع الثالث، فما قيمة جا θ؟

  • 1 -√3/2
  • 2 √3/2
  • 3 1/2
  • 4 -1/2
5

إذا كانت جا θ = 3/5 وكانت θ في الربع الثاني، فما قيمة جتا θ؟

  • 1 -4/5
  • 2 4/5
  • 3 3/5
  • 4 -3/5
6

إذا كانت جا θ = 3/5 وكانت θ في الربع الأول، فما قيمة جتا θ؟

  • 1 4/5
  • 2 3/5
  • 3 -4/5
  • 4 5/4

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