Today in class we attempted to improve our understanding and ability with ratios of sides of similar right triangles (given an acute angle).
Students helped each other understand and finish at least through problem 6 on their homework.
If you have not turned in this HW, please turn it in on Tuesday (HW #18).
We then did an activity where we were given triangles with side length and we wrote the ratios (opp/hyp), (adj/hyp), and (opp/adj) learning that they are called sine, cosine, and tangent ratios. The point was to see a pattern: the sine of one angle is the cosine of the other acute angle in the triangle (its complementary angle). And the two tangents are reciprocals of each other.
Please finish that activity for homework. You should be able to figure out which length goes on which side in the last problem. And then go back through and divide to get a decimal on each ratio.
The handout is attached. The homework we finished in class is on the previous day's blog post.
Students helped each other understand and finish at least through problem 6 on their homework.
If you have not turned in this HW, please turn it in on Tuesday (HW #18).
We then did an activity where we were given triangles with side length and we wrote the ratios (opp/hyp), (adj/hyp), and (opp/adj) learning that they are called sine, cosine, and tangent ratios. The point was to see a pattern: the sine of one angle is the cosine of the other acute angle in the triangle (its complementary angle). And the two tangents are reciprocals of each other.
Please finish that activity for homework. You should be able to figure out which length goes on which side in the last problem. And then go back through and divide to get a decimal on each ratio.
The handout is attached. The homework we finished in class is on the previous day's blog post.
geometry_2017_hw_19_right_triangle_trig.pdf |