How to apply factoring to solve a trigonometric equation

The video tutorial covers the application of trigonometric identities, specifically the Pythagorean identities, to solve equations involving sine and cosine. It explains the process of factoring and simplifying equations, and how to solve them by setting them to zero. The tutorial also discusses using the unit circle to find angle solutions, emphasizing the importance of understanding the relationship between angles and trigonometric functions.

What is the initial problem discussed in the video?

• Simplifying X minus cosine of X

• Factoring X plus cosine of X

• Solving X plus sine of X

• Solving X times sine of X

Which trigonometric identity is used to rewrite sine squared?

• Cosine squared plus tangent squared equals one

• Sine squared plus cosine squared equals one

• Sine squared plus tangent squared equals one

• Sine squared minus cosine squared equals one

What is the purpose of setting the expression equal to zero?

• To enable factoring

• To simplify the expression

• To use the sine rule

• To apply the quadratic formula

When does cosine of X equal 1 on the unit circle?

• At π/2

• At 3π/2

• At π

• At 0 or 2π

What is the angle when cosine of X equals 0?

• π/2 and 3π/2

• 0 and π

• π and 2π

• π/4 and 3π/4

How is the periodic nature of the solutions expressed?

• By dividing the angle by π

• By multiplying the angle by 2

• By subtracting π from the angle

• By adding 2π to the angle

What is the distance between solutions when cosine equals 0?

• π/2

• π

• 2π

• 3π/2

What is the next angle after 0 where cosine equals 1?

• 3π/2

• 2π

• π

• π/2

Why is it unnecessary to keep adding 2π to both solutions?

• Because the solutions are not periodic

• Because the distance between solutions is π

• Because the solutions are identical

• Because the solutions are non-existent

What is the significance of the angle π/2 in the context of cosine?

• It is where cosine equals -1

• It is where cosine equals 0

• It is where cosine equals 2

• It is where cosine equals 1