Use the Pythagorean identity sin²(θ) + cos²(θ) = 1 to calculate trigonometric ratios.
Clarifications:
Essential Understandings
Concrete:
- Given an angle in a right triangle, identify the adjacent side, opposite side, and hypotenuse.
- Given the sine, identify the cosine of the other angle.
- Given an angle, identify the angle complementary to it. E.g., The complimentary angle to a 30 degree angle is a 60 degree angle because 30° + 60° = 90°.
- Understand the following concepts and vocabulary; radian, degree, unit circle, unit table, convert, sine, cosine, ordered pair, trigonometric functions, trigonometric ratios, Pythagorean Theorem, Pythagorean identity.
- Understand that cosine is the x value and sine is the y value in the ordered pair on the unit circle.
- Use sin²(θ) + cos²(θ) = 1 with the help of tools (e.g., calculator, graphing software) to solve using trigonometric ratios .
For example: Using the ordered pair
| Number: MAFS.912.F-TF.3.AP.8a | Category: Access Points |
| Date Adopted or Revised: 06/14 |
Cluster:
Prove and apply trigonometric identities. (Algebra 2 - Additional Cluster) : Clusters should not be sorted from Major to Supporting and then taught in that order. To do so would strip the coherence of the mathematical ideas and miss the opportunity to enhance the major work of the grade with the supporting clusters. |