Understanding Trigonometry and Right Angle Triangles

The video introduces trigonometry, focusing on right angle triangles. It explains the significance of triangles in mathematics and their applications in mapping and technology. The video covers the names of the sides of a right angle triangle: hypotenuse, opposite, and adjacent. It introduces the three main trigonometric functions: sine, cosine, and tangent, and explains how they are used to calculate side lengths and angles. The concept of SOHCAHTOA is introduced as a mnemonic to remember which function to use for specific calculations.

Why are triangles considered fundamental in mathematics?

• They are the simplest shapes.

• They are the building blocks of all other straight edge shapes.

• They are easy to draw.

• They have three sides.

Which of the following is NOT a trigonometric function?

• Tangent

• Sine

• Secant

• Cosine

What is the longest side of a right angle triangle called?

• Hypotenuse

• Opposite

• Base

• Adjacent

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

• Opposite

• Base

• Hypotenuse

• Adjacent

What does the 'S' in SOHCAHTOA stand for?

• Sine

• Secant

• Slope

• Side

Which side is used in the cosine function according to SOHCAHTOA?

• Base

• Opposite

• Hypotenuse

• Adjacent

What is the purpose of the mnemonic SOHCAHTOA?

• To remember the names of triangle sides

• To calculate area of triangles

• To solve algebraic equations

• To remember the trigonometric ratios

Which trigonometric function is represented by the ratio of opposite to hypotenuse?

• Sine

• Cosine

• Secant

• Tangent

What should you be able to do after watching this video?

• Label the sides of a right angle triangle

• Identify different types of angles

• Calculate the area of a circle

• Solve quadratic equations

What does SOHCAHTOA help you remember?

• The names of triangle types

• The properties of parallel lines

• The trigonometric functions and their corresponding sides

• The steps to solve a quadratic equation