What Should You Expect From This Lesson?

At the end of this lesson you will be able to: [1] Understand the sine and cosine function as the ratio between pairs of sides of a right-angled triangle; Use the sine/cosine ratios to find the opposite/adjacent side given an angle and the hypotenuse; [2] Use the sine/cosine ratios to find the hypotenuse given an angle and the opposite/adjacent side; [3] Use the sine/cosine ratios to find an angle given the opposite side/adjacent side and the hypotenuse; [4] Use trigonometric ratios to find miss

How To Carry Out This Lesson At Home:

Lesson [1]
Understand the sine and cosine function as the ratio between pairs of sides of a right-angled triangle
Use the sine ratios to find the opposite side given an angle and the hypotenuse
Use the cosine ratios to find the adjacent side given an angle and the hypotenuse

Watch the following videos:
1. Finding missing opposite (using sine ratio) – https://www.youtube.com/watch?app=desktop&v=QThmz7ZJsWM&feature=youtu.be (watch up to 3:00)
2. Finding missing opposite (using sine) – https://www.youtube.com/watch?v=zbB_SddM6Gs (watch up to 1:30)
3. Finding missing adjacent (using cosine) – https://www.youtube.com/watch?app=desktop&v=VxgLuH_jMfI (watch up to 5:15)

Suggested Practice:
Trigonometry (2) Worksheets Pack – Worksheet 1 (document attached in the Resources Section)

Check your answers (document attached in the Resources Section)

Lesson [2]
Use the sine ratio to find the hypotenuse given an angle and the opposite side
Use the cosine ratio to find the hypotenuse given an angle and the adjacent side

Watch the following videos:
1. Finding the hypotenuse (using sine) – https://www.youtube.com/watch?app=desktop&v=WqBDpujbtIo (watch from 14:30 to 16:53 )
2. Finding the hypotenuse (using cosine) – https://www.youtube.com/watch?app=desktop&v=-4yuRRhwCxY&feature=youtu.be (watch up to 1.45)
3. Finding the hypotenuse (using cosine) – https://www.youtube.com/watch?v=zbB_SddM6Gs (watch 2:30 to 3:42)

Suggested Practice:
Trigonometry (2) Worksheets Pack – Worksheet 2 (document attached in the Resources Section)

Check your answers (document attached in the Resources Section)

Lesson [3]
Use the sine ratio to find an angle given the opposite side and the hypotenuse
Use the cosine ratio to find an angle given the adjacent side and the hypotenuse

Watch the following videos:
1. Finding missing angles (using tangent and cosine) – https://www.youtube.com/watch?app=desktop&v=LJbqlULJcec&feature=youtu.be
2. Finding missing angles (using sine and cosine) – https://www.youtube.com/watch?v=SbV_W9r5dDI
3. Finding missing angles (using tangent, sine and cosine) – https://www.youtube.com/watch?v=zbB_SddM6Gs
(watch from 4:04 onwards)

Suggested Practice:
Trigonometry (2) Worksheets Pack – Worksheet 3 (document attached in the Resources Section)

Check your answers (document attached in the Resources Section)

Lesson [4] Use trigonometric ratios to find missing sides and angles – Mixed Examples

Watch the following videos:
1. Trigonometry lesson – https://www.youtube.com/watch?app=desktop&v=VxgLuH_jMfI
2. Trigonometry (SOHCAHTOA) – https://www.youtube.com/watch?app=desktop&v=WqBDpujbtIo (watch from 8:12 onwards)

Suggested Practice:
Trigonometry (2) Worksheets Pack – Worksheet 4 (document attached in the Resources Section)

Check your answers (document attached in the Resources Section)

Lesson [5] Solving word problems using trigonometric ratios

Watch the following videos:
1. The Tangent Ratio – https://teleskola.mt/recorded_lesson/the-tangent-ratio/
2. The Sine and Cosine Ratios – https://teleskola.mt/recorded_lesson/the-sine-and-cosine-ratios/
3. Applications of Trigonometric Ratios – https://www.youtube.com/watch?app=desktop&v=huwBlBEGH1Q (watch from 2:57 onwards)

Suggested Practice:
Trigonometry (2) Worksheets Pack – Worksheet 5 (document attached in the Resources Section)

Check your answers (document attached in the Resources Section)

Acknowledgments:
Ms Stephanie Asciak (HoD), St. Clare College Secondary School, Pembroke
Ms Dorienne Grech (videos)
Ms Rodianne Seychell (video)