O'Reilly logo

The Humongous Book of Trigonometry Problems by W. Michael Kelley

Stay ahead with the world's most comprehensive technology and business learning platform.

With Safari, you learn the way you learn best. Get unlimited access to videos, live online training, learning paths, books, tutorials, and more.

Start Free Trial

No credit card required

Linear Equations

Add, subtract, multiply, and divide both sides by the same thing

Note: Problems 10.1–10.3 refer to the trigonometric equation sin x + 1 = 0.

10.1    Identify the solutions to the equation on the interval 0 ≤ x < 2π.

To solve the equation sin x + 1 = 0 for x, you must first isolate the expression containing x on one side of the equal sign. Subtracting 1 from both sides of the equation accomplishes this task, isolating sin x on the left side of the equation.

When something is “isolated” it is all by itself. You want sin x to be all by itself on one side of the equation, but right now, there’s a “+ 1” next to it. Move that number to the other side of the equation by subtracting it from both sides.

sin x = –1

The problem instructs ...

With Safari, you learn the way you learn best. Get unlimited access to videos, live online training, learning paths, books, interactive tutorials, and more.

Start Free Trial

No credit card required