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More Lessons for PreCalculus

Math Worksheets

Examples, solutions, videos, worksheets, and activities to help PreCalculus students learn how to factor trigonometric equations.

**Factoring Trigonometric Equations**

Solving second degree trig functions can be accomplished by factoring polynomials into products of binomials. When factoring trigonometric equations, we can use the zero product property to set up two first degree trig equations that you can solve using the unit circle. If an equation has sine and cosine, we substitute for one with an identity.

This video solve a trigonometric equation by factoring.

cos^{2} x − cos x − 2 = 0
**Solving a trig equation that requires substitution and factoring.**

It reviews how to solve a trig equation using the unit circle to determine trig function values.

2cos^{2} x − sin x = 1
**Solving a Trigonometric Equation by Factoring, Example 1**

2sin^{2} x = 1 + cos x

**Solving a Trigonometric Equation by Factoring, Example 2**

2sin x cos x = cos x**Solving a Trigonometric Equation by Factoring, Example 3**

cos x = cot x**Solving trig equations that are factorable or in quadratic form.**

tan^{2} x − 1 = 0

2 sin^{2} x = −3sin x − 1

You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

More Lessons for PreCalculus

Math Worksheets

Examples, solutions, videos, worksheets, and activities to help PreCalculus students learn how to factor trigonometric equations.

Solving second degree trig functions can be accomplished by factoring polynomials into products of binomials. When factoring trigonometric equations, we can use the zero product property to set up two first degree trig equations that you can solve using the unit circle. If an equation has sine and cosine, we substitute for one with an identity.

This video solve a trigonometric equation by factoring.

cos

It reviews how to solve a trig equation using the unit circle to determine trig function values.

2cos

2sin

2sin x cos x = cos x

cos x = cot x

tan

2 sin

Rotate to landscape screen format on a mobile phone or small tablet to use the **Mathway** widget, a free math problem solver that **answers your questions with step-by-step explanations**.

You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

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