Trigonometric Functions and Quadrants

The video tutorial explains how to solve a trigonometry problem involving angles A and B, where tangent A and cosine B are negative, and both angles are in the same quadrant. The tutorial guides through determining the correct quadrant, using the Pythagorean Theorem to find side lengths, and calculating sine, cosine, and tangent values for the angles.

What are the given conditions about tangent and cosine in the problem?

• Tangent A is negative, and cosine B is positive.

• Tangent A is positive, and cosine B is negative.

• Tangent A is negative, and cosine B is negative.

• Tangent A is positive, and cosine B is positive.

In which quadrants is tangent negative?

• First and third quadrants

• Third and fourth quadrants

• Second and fourth quadrants

• First and second quadrants

What mnemonic helps remember the signs of trigonometric functions in different quadrants?

• Some Angles Take Calculus

• All Science Teachers Crazy

• Some Teachers Are Crazy

• All Students Take Calculus

In which quadrant are both angles A and B located?

• Third quadrant

• Fourth quadrant

• Second quadrant

• First quadrant

What is the length of the opposite side for angle A if tangent A is 4/3?

• 6 units

• 5 units

• 4 units

• 3 units

What is the hypotenuse length for angle B if the adjacent side is 5 and the hypotenuse is 13?

• 12 units

• 15 units

• 13 units

• 14 units

What is the sine of angle A in the second quadrant?

• 3/5

• 4/5

• 5/4

• 5/3

What is the cosine of angle A in the second quadrant?

• 4/5

• -4/5

• 3/5

• -3/5

What is the sine of angle B in the second quadrant?

• 12/13

• -12/13

• 5/13

• -5/13

What is the tangent of angle B in the second quadrant?

• -5/12

• 5/12

• -12/5

• 12/5