Learn how to solve equation using double angle formula

The video tutorial explains how to solve a trigonometric equation involving cosine between 0 and 2π. It begins by introducing the problem and the need to use the double angle formula for cosine. The instructor then demonstrates how to rewrite the equation in terms of a single trigonometric function and factor it. Finally, the solutions are found using the unit circle, identifying the angles where cosine equals specific values.

What is the purpose of using the double angle formula in solving the given trigonometric equation?

• To find the exact values of the solutions

• To eliminate the cosine terms

• To convert the equation into a polynomial

• To simplify the equation by expressing it in terms of a single trigonometric function

When rewriting the equation as a trinomial, what is the main goal?

• To find the derivative of the equation

• To eliminate all trigonometric functions

• To make the equation easier to factor

• To express the equation in terms of sine

Which property is used to find the solutions after factoring the equation?

• Zero product property

• Pythagorean identity

• Law of cosines

• Sum and difference formulas

At which angle is the cosine value equal to -1?

• 3π/2

• π/3

• 2π/3

• π

What are the solutions for cosine of X equal to 1/2 within the interval 0 to 2π?

• π/3 and 5π/3

• π/4 and 7π/4

• π/2 and 3π/2

• π/6 and 11π/6