Understanding Tangent Ratios

The video tutorial from MooMooMath explains how to set up tangent ratios in trigonometry. It begins with an introduction to the tangent concept, which is the ratio of the opposite side to the adjacent side of a right triangle, excluding the hypotenuse. The tutorial demonstrates setting up the tangent for angle A, using sides measuring 3 and 4, resulting in a ratio of 3/4. It then covers the tangent for angle B, which is the reciprocal, 4/3. The video concludes with a brief summary and mentions additional resources for solving tangent problems.

What does the tangent of an angle represent in a right triangle?

• The ratio of the opposite side to the adjacent side

• The ratio of the hypotenuse to the opposite side

• The ratio of the adjacent side to the hypotenuse

• The sum of all sides of the triangle

Which part of the mnemonic SOH CAH TOA does tangent belong to?

• None of these

• SOH

• TOA

• CAH

When setting up the tangent of angle A, which sides of the triangle are used?

• All three sides

• Hypotenuse and opposite

• Opposite and adjacent

• Adjacent and hypotenuse

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

• 4/3

• 3/4

• 5/3

• 3/5

For angle B, what is the opposite side if the adjacent side is 3?

• 6

• 5

• 4

• 3

How are the tangents of angles A and B related in a right triangle?

• They are reciprocals

• They are equal

• They are complementary

• They are supplementary