Tip To Know When To Use Your Identities To Solve Trig Equations

The video tutorial explains how to effectively use trigonometric identities, particularly focusing on double angle identities. It demonstrates solving trigonometric equations using substitution and the unit circle, emphasizing the importance of factoring and the zero product property. The tutorial also covers finding solutions on the unit circle and identifying all possible solutions by understanding coterminal angles. The video concludes with strategies for recognizing relationships between solutions.

What is the first step in solving a trigonometric equation using substitution?

• Let a new variable represent the angle

• Use the unit circle directly

• Combine the angles into one

• Divide both sides by the angle

When dealing with mixed angle equations, what should you avoid doing?

• Subtracting the same trigonometric function from both sides

• Factoring the equation

• Dividing by the angle

• Using the double angle identity

What is the purpose of factoring in solving trigonometric equations?

• To rewrite the equation as a product

• To simplify the equation by combining angles

• To eliminate the trigonometric function

• To isolate the angle on one side

How do you determine the angle for which the sine is zero using the unit circle?

• Find the angle with a Y coordinate of zero

• Search for the angle with a tangent of zero

• Look for the angle with an X coordinate of zero

• Identify the angle with a radius of one

What is the X coordinate of an angle where the cosine is 1/2 on the unit circle?

• 1

• -1/2

• 1/2

• 0

What are coterminal angles?

• Angles that have the same sine value

• Angles that differ by multiples of 2π

• Angles that are exactly 90 degrees apart

• Angles that have the same cosine value

How can you find all solutions for a trigonometric equation?

• By adding or subtracting multiples of π

• By using only the positive angles

• By adding or subtracting multiples of 2π

• By considering only the angles in the first quadrant