Day 59: Trig Connections Make sure to pay close attention in answering the Big Ideas if your goal is to understand this lesson ☺ 1. For each of the triangles above, calculate the missing angle and add it to the diagram. 2. Find cosine, sine, and tangent of both acute angles. Fill in the information in the table below: Angle: Angle: Triangle Sine Cosine Tangent Sine Cosine A

B

C

D

E

F

Tangent

Big Idea: 3. What patterns do you notice in the table? You should find at least three. Big Idea: 4. Why do those patterns exist? Be as thorough as you can, using the words “rise, run, opposite, adjacent, hypotenuse, complementary, reciprocal, equal.” Pattern Example Why it exists

5. Determine if the statements below are true or false. If it is true, explain why. If it is false, change it so that it’s true. a) If the tangent ratio is greater than 1, θ must be more than 45° . b) There is a magic elf in the calculator who randomly decides what crazy decimal it should throw out when you type sine, cosine, or tangent. c) Sine and cosine of an angle are always equal. d) Sine and cosine of an angle are never equal.

6. Solving for missing angles: