Trigonometric Ratios and Right Triangles

This video tutorial introduces the basic trigonometric ratios: sine, cosine, and tangent. It explains how these ratios are derived from the sides of a right triangle, using a reference angle. The video details the definitions of each ratio and provides a mnemonic, SOHCAHTOA, to help remember them. The tutorial is designed to help students understand and calculate these ratios using the opposite, adjacent, and hypotenuse sides of a triangle.

Which of the following is NOT a basic trigonometric ratio?

• Secant

• Sine

• Tangent

• Cosine

In a right triangle, which side is always opposite the right angle?

• Opposite

• Adjacent

• Hypotenuse

• Base

What is the side opposite to angle A called in a right triangle?

• Adjacent

• Hypotenuse

• Opposite

• Base

The sine of an angle in a right triangle is the ratio of which two sides?

• Opposite and Hypotenuse

• Adjacent and Hypotenuse

• Hypotenuse and Base

• Opposite and Adjacent

How is the sine ratio abbreviated in trigonometry?

• H/O

• O/H

• A/H

• O/A

The cosine of an angle is the ratio of which two sides in a right triangle?

• Opposite and Hypotenuse

• Adjacent and Hypotenuse

• Hypotenuse and Base

• Opposite and Adjacent

What is the abbreviation for the cosine ratio?

• H/A

• O/H

• A/H

• O/A

The tangent of an angle is the ratio of which two sides?

• Opposite and Adjacent

• Adjacent and Hypotenuse

• Hypotenuse and Base

• Opposite and Hypotenuse

What does the mnemonic SOHCAHTOA help you remember?

• The trigonometric ratios

• The order of operations

• The Pythagorean theorem

• The types of angles

In the mnemonic SOHCAHTOA, what does the 'T' stand for?

• Tangent

• Triangle

• Tetrahedron

• Trigonometry