Understanding Trigonometric Identities

The video tutorial explains how to determine if a trigonometric equation is not an identity by evaluating it at different angles. It uses the unit circle to find sine and cosine values for angles like 0, pi, 3pi/2, and pi/4 radians. The tutorial demonstrates that the equation is not an identity by showing it is false for theta equals pi/4 radians.

What is the main goal when proving a statement is not an identity?

• To find a value that makes the statement false

• To find a value that makes the statement true

• To find a value that makes the statement complex

• To find a value that makes the statement undefined

Tags

CCSS.HSF.TF.A.2

What are the sine and cosine values for theta equals zero radians?

• Sine is 1, Cosine is 0

• Sine is 0, Cosine is 1

• Sine is 0.5, Cosine is 0.5

• Sine is -1, Cosine is 0

Tags

CCSS.HSF.TF.C.8

What is the result of the equation for theta equals zero radians?

• The equation is false

• The equation is complex

• The equation is undefined

• The equation is true

Tags

CCSS.HSF.TF.A.2

What are the sine and cosine values for theta equals pi radians?

• Sine is 0, Cosine is -1

• Sine is 1, Cosine is 0

• Sine is -1, Cosine is 0

• Sine is 0, Cosine is 1

Tags

CCSS.HSF.TF.C.8

What is the result of the equation for theta equals pi radians?

• The equation is complex

• The equation is true

• The equation is undefined

• The equation is false

Tags

CCSS.HSF.TF.A.2

What are the sine and cosine values for theta equals three pi over two radians?

• Sine is 0, Cosine is 1

• Sine is -1, Cosine is 0

• Sine is 0, Cosine is -1

• Sine is 1, Cosine is 0

Tags

CCSS.HSF.TF.C.8

What is the result of the equation for theta equals three pi over two radians?

• The equation is false

• The equation is undefined

• The equation is complex

• The equation is true

Tags

CCSS.HSF.TF.A.2

What are the sine and cosine values for theta equals pi over four radians?

• Sine is square root of 2 over 2, Cosine is square root of 2 over 2

• Sine is -1, Cosine is 0

• Sine is 1, Cosine is 0

• Sine is 0, Cosine is 1

Tags

CCSS.HSF.TF.C.8

What is the result of the equation for theta equals pi over four radians?

• The equation is false

• The equation is complex

• The equation is true

• The equation is undefined

Why is the equation not considered an identity?

• It is complex for all angles

• It is true for all angles

• It is undefined for all angles

• It is false for at least one angle