Trigonometric Functions in Quadrant Four

The video tutorial explains how to determine the trigonometric function values when cosine theta equals 5/13 and theta is in the fourth quadrant. It involves sketching a reference triangle, identifying the sides using the Pythagorean theorem, and calculating the sine, secant, cosecant, tangent, and cotangent values using the reference triangle and reciprocal relationships.

What is the value of cosine theta given in the problem?

• 5/13

• 12/13

• 3/5

• 13/5

In which quadrant is angle theta located?

• Fourth

• First

• Second

• Third

What is the significance of the reference triangle in this problem?

• It helps in finding the angle theta.

• It is used to determine the trigonometric function values.

• It helps in identifying the quadrant.

• It is used to find the length of the hypotenuse.

What is the length of the hypotenuse in the reference triangle?

• 15

• 5

• 12

• 13

How do you find the missing side of the triangle using the Pythagorean theorem?

• Subtract the square of one side from the square of the hypotenuse.

• Add the squares of the two known sides.

• Multiply the two known sides.

• Divide the hypotenuse by one of the sides.

What is the value of sine theta?

• -12/13

• 5/13

• -5/13

• 12/13

What is the reciprocal of cosine theta known as?

• Cosecant

• Sine

• Tangent

• Secant

What is the value of tangent theta?

• 12/5

• 5/12

• -5/12

• -12/5

What is the value of cotangent theta?

• 12/5

• -5/12

• 5/12

• -12/5

What is the value of cosecant theta?

• 13/12

• -13/12

• -12/13

• 12/13