pre-calc 5.5 - Section 5.5 Trigonometric Equations A...

Info icon This preview shows pages 1–3. Sign up to view the full content.

View Full Document Right Arrow Icon
Section 5.5 Trigonometric Equations A trigonometric equation is an equation that contains a trigonometric expression with a variable, such as sin x. In this section, we look at trigonometric equations that are true for only some values of the variable. The values that satisfy such an equation are its solutions . example: 2 1 sin = x The period of sine is 2π. All solutions in the interval [0, 2π) are 6 5 , 6 π π = = x x All solutions of 2 1 sin = x are π π π π n x n x 2 6 5 , 2 6 + = + = where n is an integer. Note: There are trigonometric equations that have no solution. EX 1: Use substitution to determine whether the given x-value is a solution of the equation. a) 2 1 cos - = x 3 4 π = x b) 2 2 sin = x 3 π = x c) 3 tan = x 3 π = x Equations Involving a Single Trigonometric Function 1.) Isolate the function on one side of the equation. 2.) Solve for the variable.
Image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
EX 2: Solve the equation 3 sin 3 sin 5 + = x x Equations Involving Multiple Angles EX 3: Solve the equation π 2 0 3 2 tan < = x x EX 4: Solve the equation on the interval [0, 2π) 2 2
Image of page 2
Image of page 3
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

What students are saying

  • Left Quote Icon

    As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

    Student Picture

    Kiran Temple University Fox School of Business ‘17, Course Hero Intern

  • Left Quote Icon

    I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

    Student Picture

    Dana University of Pennsylvania ‘17, Course Hero Intern

  • Left Quote Icon

    The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

    Student Picture

    Jill Tulane University ‘16, Course Hero Intern