Algebra 2/Trig Name: 10.02 Solving Quadratic Trig Equations Aim: I can solve quadratic trigonometric equations Mildly Spicy 1. Determine all solutions for all rotations between 0° to 360°. Use the hand rule. a. sin = ! ! b. cos = 1 c. cos = ! ! Spicy 2. Determine all solutions for all rotations between 0° to 360° a. 2 () − 1 = 0 b. 2cos () − 1 = 0 Spicier 2. Determine all solutions for all rotations between 0° to 360° a. 2 ! () − 1 = 0 b. 2 sin ! − sin = 1 c. 2 cos ! + cos + 2 = 3 d. 3 cos ! + 14 cos + 8 = 0
Welcome message from author
This document is posted to help you gain knowledge. Please leave a comment to let me know what you think about it! Share it to your friends and learn new things together.
Transcript
Algebra2/Trig Name:10.02 Solving Quadratic Trig Equations Aim: I can solve quadratic trigonometric equations Mildly Spicy 1. Determine all solutions for all rotations between 0° to 360°. Use the hand rule.
a. sin 𝜃 = !! b. cos 𝜃 = 1 c. cos 𝜃 = !
!
Spicy 2. Determine all solutions for all rotations between 0° to 360° a. 2 𝑠𝑖𝑛(𝜃)− 1 = 0 b. 2cos (𝜃)− 1 = 0 Spicier 2. Determine all solutions for all rotations between 0° to 360° a. 2 𝑠𝑖𝑛!(𝜃)− 1 = 0 b. 2 sin! 𝜃 − sin 𝜃 = 1 c. 2 cos! 𝜃 + cos 𝜃 + 2 = 3 d. 3 cos! 𝜃 + 14 cos 𝜃 + 8 = 0
Algebra2/Trig Name:Cinnamon Challenge Spicy 3. Determine all solutions for all rotations between 0° to 360° a. tan! 𝜃 − 3 tan 𝜃 + 2 = 0 b. 4𝑠𝑖𝑛𝜃 + 7 = 3 c. To the nearest tenth of a degree, find all values of 𝜃 in the interval 0° ≤ 𝜃 < 360° 6cos! 𝜃 − 5 sin 𝜃 − 5 = 0 1 **Finished: Try These! ** #Throwback! 4. Solve: −10+ 2 −9− 2𝑘 = −8 5. Solve: 5𝑝! − 8𝑝 + 6 = 0
d. Writing in Math! Is tan!(𝜃) the same thing as tan(𝜃)!? Explain why or why not. What does each mean?
e. In order for 2𝑥! + 7𝑥 + 5 = 0 to be true, you have to solve for x values that make the equation true/work. Using that logic, in order for tan!(𝜃)−3 tan(𝜃)− 4 = 0 to work, what values must we look for that satisfies the equation!
Related Documents
