1. Graphing Solutions of Trig Functions
Section 5.3A
Precalculus PreAP/Dual, Revised ©2017
1/17/2019 6:03 AM
§5.3A: Graphical Solutions of Trig Equations

2. Solving using the Graphing Calculator
Make sure the window is set to 𝑿min =𝟎 and 𝑿max = 𝟐𝝅
Type in the trig equation into 𝒀 𝟏
Type the value into 𝒀 𝟐
Use the intersection method in the calculator
1/17/2019 6:03 AM
§5.3A: Graphical Solutions of Trig Equations

3. §5.3A: Graphical Solutions of Trig Equations
Example 1
Find all solutions and solve with a calculator for 𝐬𝐢𝐧 𝒙=𝟎.𝟒𝟔𝟓
1/17/2019 6:03 AM
§5.3A: Graphical Solutions of Trig Equations

4. §5.3A: Graphical Solutions of Trig Equations
Example 2
Find all solutions and solve with a calculator for 𝐭𝐚𝐧 𝒙=−𝟎.𝟐𝟑𝟕
1/17/2019 6:03 AM
§5.3A: Graphical Solutions of Trig Equations

5. §5.3A: Graphical Solutions of Trig Equations
Example 3
Find all solutions and solve with a calculator for 𝐬𝐞𝐜 𝒙=−𝟐.𝟔𝟓
1/17/2019 6:03 AM
§5.3A: Graphical Solutions of Trig Equations

6. §5.3A: Graphical Solutions of Trig Equations
Your Turn
Find all solutions and solve with a calculator for 𝐜𝐨𝐭 𝒙=−𝟎.𝟐
1/17/2019 6:03 AM
§5.3A: Graphical Solutions of Trig Equations

7. §5.3A: Graphical Solutions of Trig Equations
Example 4
Find all solutions and solve with a calculator for 𝟑 𝐬𝐢𝐧 𝟐 𝒙−𝐜𝐨𝐬 𝒙−𝟐=𝟎
1/17/2019 6:03 AM
§5.3A: Graphical Solutions of Trig Equations

8. §5.3A: Graphical Solutions of Trig Equations
Example 5
Find all solutions and solve with a calculator for 𝟓𝐬𝐢𝐧 𝟑𝒙 +𝟔 𝐜𝐨𝐬 𝟑𝒙 =𝟏
1/17/2019 6:03 AM
§5.3A: Graphical Solutions of Trig Equations

9. §5.3A: Graphical Solutions of Trig Equations
Your Turn
Find all solutions and solve with a calculator for 𝟒 𝐜𝐨𝐬 𝟐 𝒙+𝐬𝐢𝐧 𝒙−𝟐=𝟎
1/17/2019 6:03 AM
§5.3A: Graphical Solutions of Trig Equations

10. §5.3A: Graphical Solutions of Trig Equations
Assignment
Worksheet
1/17/2019 6:03 AM
§5.3A: Graphical Solutions of Trig Equations