Exploring the Tangent Ratio in Trigonometry

What is the tangent ratio primarily used for in trigonometry?

• Calculating the perimeter of a triangle

• Determining the ratio of the sides of a triangle

• Measuring the angles of a triangle

• Finding the area of a triangle

Which side of a triangle is always directly across from the right angle?

• Base

• Opposite side

• Adjacent side

• Hypotenuse

In the context of the tangent ratio, what does the 'opposite' side refer to?

• The side adjacent to the angle

• The side opposite to the angle

• The base of the triangle

• The hypotenuse

If the opposite side of a triangle is 3 and the adjacent side is 4, what is the tangent ratio?

• 3/4

• 4/3

• 7/3

• 3/7

Given a triangle with an opposite side of 5 and an adjacent side of 12, what is the tangent ratio?

• 5/17

• 5/12

• 17/5

• 12/5

What theorem is used to find a missing side length in a right triangle?

• Cosine rule

• Sine rule

• Tangent rule

• Pythagorean theorem

If a triangle has sides of lengths 6 and 8, what is the length of the hypotenuse?

• 12

• 10

• 16

• 14

How do you find an angle using the tangent ratio?

• Using the cosine function

• Using the sine function

• Using the Pythagorean theorem

• Using the inverse tangent function

What is the angle if the tangent ratio is 21/20?

• 45°

• 30°

• 46°

• 60°

If tan(37°) = 0.75 and the adjacent side is 12, what is the length of the opposite side?

• 8

• 9

• 11

• 10