Chapter 7 - Trig of Right Triangles

 

chapter 8 - trig of acute triangles

 

    Ontario Curriculum

Overall Expectations:

• use their knowledge of ratio and proportion to investigate similar triangles and solve problems related to similarity;
• solve problems involving right triangles, using the primary trigonometric ratios and the Pythagorean theorem;
• solve problems involving acute triangles, using the sine law and the cosine law. 

Specific Expectations:

- determine, through investigation, the relationship between the ratio of two sides in a right triangle and the ratio of the two corresponding sides in a similar right triangle, and define the sine, cosine, and tangent ratios
- determine the measures of the sides and angles in right triangles, using the primary trigonometric ratios and the Pythagorean theorem;
- solve problems involving the measures of sides and angles in right triangles in reallife applications
- explore the development of the sine law within acute triangles
- explore the development of the cosine law within acute triangles
- determine the measures of sides and angles in acute triangles, using the sine law and the cosine law