Trigonometric Concepts and Properties

This video tutorial covers the top 10 essential concepts in trigonometry, including similar triangles, SOHCAHTOA, sine and cosine laws, special triangles, the unit circle, CAST rule, trigonometric functions and graphs, radians, trigonometric identities, and solving trigonometric equations. Each section provides detailed explanations and examples to help learners understand and apply these concepts effectively.

What is the primary characteristic of similar triangles?

• They have different shapes and sizes.

• They have the same angles but different side lengths.

• They have the same shape but different sizes.

• They have the same size.

Which property is true for similar triangles?

• Corresponding angles are different.

• Ratios of corresponding sides are equal.

• They have different shapes.

• They have the same perimeter.

What does the acronym SOHCAHTOA help you remember?

• The laws of sines and cosines.

• The properties of similar triangles.

• The primary trigonometric ratios.

• The types of triangles.

In a right triangle, what is the hypotenuse?

• The side adjacent to the smallest angle.

• The side opposite the smallest angle.

• The longest side.

• The shortest side.

When is the cosine law used?

• When you know all angles of a triangle.

• When you know two angles and one side.

• When you know two sides and the angle between them.

• When you know all three sides of a triangle.

What is a special property of a 45°-45°-90° triangle?

• All sides are equal.

• The hypotenuse is twice the length of one side.

• The angles are all 60°.

• The legs are equal, and the hypotenuse is √2 times a leg.

What does the CAST rule help determine?

• Which trigonometric ratios are positive in each quadrant.

• The area of a triangle.

• The angles in a right triangle.

• The length of sides in a triangle.

How do you find the exact value of sin(150°)?

• Use the cosine law.

• Use a calculator.

• Use the reference angle and CAST rule.

• Use the sine law.

What is the amplitude of the sine function?

• 2

• 0

• 1

• 3

How many radians are in a full circle?

• 2π

• 4π

• π

• 3π