Understanding Tangent Ratios in Triangles

The video tutorial introduces the tangent ratio in right triangle trigonometry, explaining that the tangent of an angle is the ratio of the opposite side to the adjacent side. The teacher demonstrates how to find the tangent of angles C and A using examples, emphasizing the importance of identifying the opposite and adjacent sides correctly. The tutorial provides a clear understanding of how to apply the tangent ratio in solving problems involving right triangles.

What is the tangent ratio used for in trigonometry?

• Calculating the hypotenuse of a triangle

• Finding the ratio of opposite to adjacent sides in a right triangle

• Measuring the angles of a triangle

• Determining the area of a triangle

In the tangent ratio, which sides of the triangle are compared?

• Opposite and hypotenuse

• Adjacent and hypotenuse

• Opposite and adjacent

• Adjacent and base

How is the tangent of angle C represented?

• tangent of angle C

• tan C

• C tangent

• angle C tangent

What is the opposite side to angle C in the given example?

• Side with length 6

• Side with length 5

• Side with length 3

• Side with length 4

Which side is considered the adjacent side to angle C?

• Side with length 6

• Side with length 4

• Side with length 3

• Side with length 5

Why can't the hypotenuse be the adjacent side?

• Because it is the longest side

• Because it is opposite the right angle

• Because it is not next to the angle

• Because it is always the base

What is the tangent of angle C in the example?

• 4/5

• 3/5

• 5/4

• 3/4

What is the opposite side to angle A in the example?

• Side with length 3

• Side with length 4

• Side with length 5

• Side with length 6

What is the adjacent side to angle A in the example?

• Side with length 3

• Side with length 4

• Side with length 6

• Side with length 5

How do you find the tangent of an angle?

• By dividing the opposite side by the adjacent side

• By dividing the hypotenuse by the adjacent side

• By dividing the adjacent side by the hypotenuse

• By dividing the hypotenuse by the opposite side