Solving for cosine by factoring

The video tutorial reviews solving trigonometric equations, focusing on finding all solutions rather than just those in the first quadrant. It explains the importance of not dividing by variables, using the zero product property, and determining cosine values using the unit circle. The tutorial also covers the graph of the cosine function and how to write all solutions for trigonometric equations, emphasizing the periodic nature of trigonometric functions.

What is a common mistake students make when solving trigonometric equations?

• Subtracting the same term from both sides

• Adding a constant to both sides

• Multiplying both sides by zero

• Dividing by the variable

What property is used to solve the equation after factoring?

• Zero Product Property

• Distributive Property

• Associative Property

• Commutative Property

When is cosine of X equal to zero on the unit circle?

• At 0 and π

• At π/2 and 3π/2

• At π and 2π

• At π/4 and 3π/4

How does the graph of cosine help in finding solutions beyond the unit circle?

• It repeats every 2π

• It shows that cosine is always positive

• It shows that cosine is always negative

• It repeats every π

What is the distance between each angle when writing all solutions for cosine?

• π/2

• π/4

• 2π

• π

How can all solutions for the equation be represented?

• Using π times N

• Using 2π times N

• Using π/2 times N

• Using π/4 times N

What is the significance of the periodicity of the cosine function in solving equations?

• It limits solutions to the first quadrant

• It allows for infinite solutions

• It only applies to sine functions

• It restricts solutions to positive angles