Warm Up: If 0° ≤ 𝐴 ≤ 360°, find the possible measures of angle A. sin 𝐴 = −0.7845 Hint find the RAA first! And then determine which quadrants sine is negative! Unit 5: Trigonometry Day 6: The CAST Rule and Special Angles Today we will.... 1. Learn the Special Angles and their corresponding trig ratios 2. Combine our knowledge of the CAST Rule and Special Angles to find angles and ratios without a calculator Special Angles - 30 and 60 Construct an Equilateral triangle with side lengths 2. Drop a vertical line from the top angle to the opposite side creating two Right-Triangles. The altitude will bisect the opposite side since it is an equilateral triangle. Determine the length of the altitude using the Pythagorean Theorem. sin60 = cos60 = tan60 = sin30 = cos30 = tan30 = Special Angles: 45 Construct an Isosceles Right-Triangle and determine all 3 trig ratios of the non-90 angle. (Tip: The equal side lengths are 1 unit each) sin45 = cos45 = tan45 = Example 1: Find the exact values of the sine, cosine and tangent of 120ο. 1 Example 2: If cos 𝐴 = − √2 , determine the possible measures of angle A: