Solve equations using the double angle formula

The video tutorial explains how to solve trigonometric equations involving double angles. It emphasizes the use of trigonometric formulas and factoring techniques to simplify and solve equations. The instructor demonstrates rewriting expressions and finding solutions using the unit circle, ensuring solutions fall within the specified range of 0 to 2 pi.

What should you consider using when you encounter a double angle in a trigonometric equation?

• Basic arithmetic operations

• Trigonometric identities and formulas

• Graphical methods

• Numerical approximations

In the equation sine of 2x minus 2 sine of x equals 0, what is the first step to simplify it?

• Rewrite sine of 2x using a trigonometric identity

• Multiply both sides by 2

• Divide both sides by sine of x

• Add 2 sine of x to both sides

After factoring out sine of x, what expression is left to solve in the equation?

• Cosine of x plus 1 equals 0

• 2 sine of x minus 1 equals 0

• Sine of x plus 2 equals 0

• 2 cosine of x minus 1 equals 0

What is the value of cosine of x when it equals 1?

• x equals pi/2

• x equals 3pi/2

• x equals pi

• x equals 0

Which angles satisfy the condition sine of x equals 0?

• x equals pi/3 and 2pi/3

• x equals pi/2 and 3pi/2

• x equals 0 and pi

• x equals pi/4 and 3pi/4