Exploring Even and Odd Trigonometric Functions

What type of symmetry do even functions exhibit?

• X-axis symmetry

• Diagonal symmetry

• Origin symmetry

• Y-axis symmetry

Which of the following is an even trig function?

• Cotangent

• Sine

• Tangent

• Cosine

What happens to the graph of an odd function when rotated 180 degrees around the origin?

• It mirrors along the y-axis

• It matches up with the original graph

• It mirrors along the x-axis

• It becomes a straight line

Which of the following is NOT an odd trig function?

• Sine

• Cosecant

• Secant

• Tangent

What is the y-value of the sine of a positive angle theta?

• y

• x

• -x

• -y

What is the relationship between the sine of positive theta and the sine of negative theta?

• They are equal

• They are opposites

• They are both zero

• They are both positive

What is the x-value of the cosine of a negative angle theta?

• x

• y

• -x

• -y

If the sine of an angle theta is negative, in which quadrant could the angle be?

• First or Second

• Second or Third

• First or Fourth

• Third or Fourth

Given that the sine of theta is -3/5 and the tangent of theta is negative, in which quadrant is theta located?

• First

• Second

• Third

• Fourth

What is the cosine of theta if the sine of theta is -3/5 and the missing side of the triangle is 4?

• 4/5

• 3/5

• -4/5

• -3/5