Trigonometric Functions and Their Properties

The video tutorial explains how to determine trigonometric function values given that cosine theta equals 3/7 and theta is in the 4th quadrant. It involves sketching a reference triangle, using the Pythagorean theorem to find the missing side, and calculating the remaining trig function values such as sine, secant, tangent, and cotangent. The tutorial also covers rationalizing the results for certain functions.

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

• 6/7

• 5/7

• 4/7

• 3/7

In which quadrant is angle theta located?

• Quadrant 2

• Quadrant 4

• Quadrant 1

• Quadrant 3

What is the length of the adjacent side of the reference triangle?

• 3 units

• 4 units

• 5 units

• 6 units

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

• 8 units

• 7 units

• 5 units

• 6 units

What is the value of the missing side 'y' in the triangle?

• 2√10

• -3√10

• -2√10

• 3√10

What is the reciprocal of cosine theta?

• 10/3

• 7/3

• 3/7

• 3/10

What is the value of sine theta?

• -2√10/7

• 2√10/7

• -3√10/7

• 3√10/7

What is the rationalized form of cosecant theta?

• -7√10/20

• 7√10/20

• -10√7/20

• 10√7/20

What is the value of tangent theta?

• 3√10/2

• -3√10/2

• 2√10/3

• -2√10/3

What is the rationalized form of cotangent theta?

• 10√3/20

• -3√10/20

• 3√10/20

• -10√3/20