What is the tangent function

The video tutorial introduces the concept of right triangles, emphasizing the necessity of having a right triangle to define the hypotenuse. It then explains the tangent ratio, commonly referred to as 'tan', which is the ratio of the opposite side to the adjacent side in a right triangle. The tutorial provides a detailed explanation of how to apply this ratio to find the tangent of an angle, even when the angle is unknown. The focus is on understanding the relationship between the sides of a right triangle and how this relationship is used in trigonometry.

Why is a right triangle essential when discussing trigonometric ratios?

• Because it has a hypotenuse.

• Because it is the only triangle with angles.

• Because it has equal sides.

• Because it is the largest type of triangle.

What is the tangent of an angle commonly abbreviated as?

• Cos

• Sin

• Cot

• Tan

In a right triangle, the tangent of an angle is the ratio of which two sides?

• Opposite over adjacent

• Opposite over hypotenuse

• Adjacent over hypotenuse

• Adjacent over opposite

Which side of a right triangle is not involved in calculating the tangent of an angle?

• Adjacent

• Opposite

• None of the above

• Hypotenuse

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

• 1.5

• 1.25

• 0.75

• 1.33