discovering trig ratios

 

Each angle has its own unique sine, cosine, and tangent ratio that never changes.

 

 

If we know a right angle triangle has an angle of θ, all other right angle triangles with an angle of  θ are similar and therefor have equivalent ratios of corresponding sides

 

 

         Ontario Curriculum

Overall Expectations:

• use their knowledge of ratio and proportion to investigate similar triangles and solve problems related to similarity;

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