Trigonometric Values and Quadrants

The video tutorial explains how to determine the quadrant of an angle given the tangent and cosine conditions. It identifies that cosine being positive and tangent being negative places the angle in the fourth quadrant. The tutorial then calculates the x, y, and r values for this quadrant and derives the trigonometric ratios, ensuring the signs align with quadrant 4 properties.

What is the given value of tangent of t?

• -3/4

• 3/4

• 4/3

• -4/3

Tags

CCSS.HSF.TF.A.2

Which quadrants have a positive cosine value?

• Quadrants 1 and 4

• Quadrants 1 and 2

• Quadrants 2 and 3

• Quadrants 3 and 4

Tags

CCSS.HSF.TF.A.2

If tangent is negative, which of the following must be true?

• Both x and y are positive

• Both x and y are negative

• x is positive and y is negative

• x is negative and y is positive

Tags

CCSS.6.NS.C.6B

In which quadrants is the y-coordinate negative?

• Quadrants 3 and 4

• Quadrants 1 and 4

• Quadrants 2 and 3

• Quadrants 1 and 2

Tags

CCSS.HSF.TF.A.2

Which quadrant satisfies both conditions of having a positive cosine and a negative tangent?

• Quadrant 2

• Quadrant 4

• Quadrant 3

• Quadrant 1

Tags

CCSS.7.EE.B.4A

What is the value of x in the given problem?

• 4

• -3

• -4

• 3

Tags

CCSS.7.EE.B.4A

What is the value of y in the given problem?

• -3

• 4

• 3

• -4

Tags

CCSS.8.G.B.7

What is the value of r (the hypotenuse) in the given problem?

• 6

• 3

• 5

• 4

Tags

CCSS.HSF.TF.C.8

What is the value of sine in the given problem?

• -4/5

• 4/5

• -3/5

• 3/5

Tags

CCSS.HSF.TF.A.2

What is the value of secant in the given problem?

• -5/4

• 5/4

• -4/5

• 4/5

Tags

CCSS.HSF.TF.A.2