Trigonometric identities of 180 - x

Instruction

Drag the black point marked 'A' to change the angle θ. Study how the point A' which is on the terminal side of 180o - θ change as θ change. We are going to study the relationship between trigonometric function of θ and 180o - θ.

What is the relationship between the coordinates of A and coordinates of A' in the graph trigonometric fucntion of θ and 180° - θ?

Select all that apply

A
The coordinates of A and coordinates of A' are exactly the same
B
The x-coordinate of A and A' are the same while the y-coordinate of A and A' are of opposite sign.
C
The x-coordinate of A and A' are of opposite sign while the y-coordinate of A and A' are the same.
D
Both x-coordinate and y-coordinate of A and A' are of opposite sign.

Check my answer (3)

Which of the following is true?

Select all that apply

A
sin θ = sin (180° - θ )
B
sin θ = -sin (180° - θ )
C
sin θ = cos (180° - θ )
D
sin θ = -cos (180° - θ )

Check my answer (3)

Which of the following is true?

Select all that apply

A
cos θ = cos (180° - θ )
B
cos θ = -cos (180° - θ )
C
cos θ = sin (180° - θ )
D
cos θ = -sin (180° - θ )

Check my answer (3)

Which of the following is true?

Select all that apply

A
tan θ = tan (180° - θ )
B
tan θ = -tan (180° - θ )
C
tan θ = 1/ tan (180° - θ )
D
tan θ = -1/ tan (180° - θ )

Check my answer (3)

Trigonometric identities of 180 - x

Instruction

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