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Identifying Quadratic Equations with One Real Solution and Trigonometric Function Review

In today's lesson, we will identify which quadratic equation among the options provided has exactly one real solution. We will also review the law of sines and cosines, as well as the characteristics of trigonometric functions. Students will learn how to recognize the shapes of sine and cosine graphs, including key elements such as amplitude, period, vertical shift, and phase shift. Additional resources will be shared for further study. Homework will focus on applying these concepts through exercises on trigonometric laws and graphing.

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Identifying Quadratic Equations with One Real Solution and Trigonometric Function Review

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  1. Which equation has exactly one real solution Warm upMonday May 12 A 4x^2 –12x–9=0 B 4x^2 +12x+9=0 C 4x^2 –6x–9=0 D 4x^2 +6x+9=0

  2. Review of Right triangles packet from friday? So today we are going to review law of sines and cosines briefly and then we have other things to do.

  3. What exactly does a trigonometric function look like?

  4. Easy way to tell a difference... Sine looks like a mountain and a valley. Cosine looks like a smile. There are some things you need to know about their graphs! Amplitude Period Vertical shift Phase shift http://www.purplemath.com/modules/grphtrig.htm

  5. For F(t) = Af(Bt – C) + D, where f(t) is one of the basic trig functions, we have: A: amplitude is A B: period is (360)/|B| C: phase shift is C/B D: vertical shift is D http://www.khanacademy.org/math/trigonometry/basic-trigonometry/trig_graphs_tutorial/v/we-amplitude-and-period

  6. Homework is worksheet on law of sines, law of cosines, and graphing Tomorrow we will review all triangle “stuff” with jeopardy.

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