Graphing Solutions of Trig Functions

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Presentation transcript:

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

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

§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

§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

§5.3A: 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

§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

§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

§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

§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

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