Understanding Trigonometric Ratios in Right Triangles

The video tutorial explains the trigonometric properties of triangle ABC, where angle B is 90 degrees. It covers how to label the sides based on given cosine and sine ratios for angle A, and then shifts perspective to angle C to find its cosine, sine, and tangent. The tutorial highlights the complementary nature of angles A and C, showing how their trigonometric ratios are related, including the reciprocal relationship between their tangents.

What is the cosine of angle A in triangle ABC if the adjacent side is 4 and the hypotenuse is 5?

• 3/5

• 5/3

• 4/5

• 5/4

If the sine of angle A is 3/5, what is the length of the opposite side when the hypotenuse is 5?

• 2

• 3

• 4

• 5

From angle C's perspective, what is the cosine ratio if the adjacent side is 3 and the hypotenuse is 5?

• 4/5

• 5/3

• 5/4

• 3/5

What is the sine of angle C if the opposite side is 4 and the hypotenuse is 5?

• 4/5

• 3/5

• 5/3

• 5/4

How are the sine of angle A and the cosine of angle C related?

• They are equal

• They are complementary

• They are unrelated

• They are reciprocals

What is the tangent of angle C if the opposite side is 4 and the adjacent side is 3?

• 3/4

• 5/3

• 4/3

• 5/4

What is the tangent of angle A if the opposite side is 3 and the adjacent side is 4?

• 4/3

• 5/4

• 5/3

• 3/4

How are the tangent ratios of angles A and C related?

• They are unrelated

• They are complementary

• They are reciprocals

• They are equal