Find multiple solutions to a trigonometric equation

The video tutorial explains how to factor a trinomial equation involving cosine, solve for X/2, and determine valid solutions within a specified range. It emphasizes not being confused by coefficients and demonstrates the process of multiplying to solve for X. The tutorial concludes with instructions on using a graphing calculator to verify solutions.

What is the first step in factoring a trigonometric expression like a trinomial?

• Divide by the highest power of X

• Look for a common factor

• Multiply all terms by 2

• Simplify to a single cosine term

After finding cosine of X/2 equals 1/2, what is the next step to solve for X?

• Multiply by 2 on both sides

• Divide by 2 on both sides

• Add 1 to both sides

• Subtract 1 from both sides

Which of the following is a valid solution for X within the constraint 0 to 2π?

• 3π

• 5π/3

• 2π/3

• 10π/3

Why is 10π/3 not a valid solution within the constraint 0 to 2π?

• It is greater than 2π

• It is a negative value

• It is equal to 2π

• It is less than 0

What tool is suggested to verify the solutions graphically?

• Basic calculator

• Algebraic calculator

• Graphing calculator

• Scientific calculator