Trigonometric Functions and Quadrants

The video tutorial explains how to find the exact values of sine and cosine given that tangent is negative and sine is positive. It discusses the quadrant in which the angle lies, sets up a reference triangle, and uses the Pythagorean theorem to find the hypotenuse. The tutorial then calculates the exact values of sine and cosine and demonstrates how to rationalize the denominators.

What is the given value of tangent a in the problem?

• -7/5

• 7/5

• -5/7

• 5/7

In which quadrant is tangent negative and sine positive?

• Fourth

• First

• Second

• Third

What are the signs of x and y in the second quadrant?

• x is negative, y is negative

• x is positive, y is negative

• x is negative, y is positive

• x is positive, y is positive

What is the value of x in the reference triangle?

• 7

• -5

• 5

• -7

What is the value of y in the reference triangle?

• -5

• 5

• 7

• -7

What is the formula used to find the hypotenuse r?

• x + y = r

• x^2 + y^2 = r^2

• x^2 - y^2 = r^2

• x^2 + y = r^2

What is the exact value of sine a before rationalizing?

• -7/√74

• -5/√74

• 5/√74

• 7/√74

What is the exact value of cosine a before rationalizing?

• -7/√74

• 7/√74

• -5/√74

• 5/√74

What is the rationalized form of sine a?

• -7√74/74

• 5√74/74

• -5√74/74

• 7√74/74

What is the rationalized form of cosine a?

• 5√74/74

• -7√74/74

• -5√74/74

• 7√74/74