How to Use the Double Angle Formula to Solve for the Values of X

The video tutorial explains how to solve a trigonometric equation involving cosine and double angle formulas. It covers the process of isolating variables, factoring the equation, and finding solutions using the unit circle. The tutorial emphasizes the importance of choosing the right formula and provides a step-by-step guide to solving the equation within specified constraints.

What is the primary goal when solving an equation involving trigonometric functions?

• To graph the function

• To integrate the function

• To find the derivative of the function

• To isolate the variable or write it as a sum of products that equals zero

Which formula is used to replace cosine of 2X in the equation?

• Tangent double angle formula

• Sine double angle formula

• Cosine double angle formula

• Secant double angle formula

What form does the equation take after using the double angle formula?

• A rational expression

• A cubic polynomial

• A quadratic trinomial

• A linear equation

What is the next step after factoring the trinomial form of the equation?

• Solving the resulting equations to find cosine of X

• Integrating the equation

• Differentiating the equation

• Graphing the equation

What is the value of cosine of X when X equals 0?

• 1

• 0

• 1/2

• -1

Which angles correspond to cosine of X equaling -1/2?

• π/4 and 3π/4

• π/2 and 3π/2

• 0 and π

• 2π/3 and 4π/3

What is the significance of the unit circle in solving trigonometric equations?

• It helps in graphing trigonometric functions

• It is used to integrate trigonometric functions

• It is used to determine the angles corresponding to specific cosine values

• It helps in finding the derivative of trigonometric functions