Trigonometric Functions and Ratios

The video introduces trigonometric ratios, focusing on sine, cosine, and tangent. It explains the AA similarity postulate and how right triangles with the same acute angle are similar. The video details the definitions and calculations of sine, cosine, and tangent, using opposite and adjacent legs of right triangles. It also covers trigonometric functions, their ratios, and practical applications, including the use of calculators for these calculations. The video aims to prepare students for future trigonometry studies by introducing key concepts and terminology.

What is the AA similarity postulate in the context of right triangles?

• Two triangles are similar if they have one equal angle.

• Two triangles are similar if they have two equal angles.

• Two triangles are similar if they have two equal sides.

• Two triangles are similar if they have one equal side.

Which of the following is a trigonometric ratio?

• Area of a triangle

• Sine of an angle

• Perimeter of a triangle

• Volume of a triangle

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

• The ratio of the hypotenuse to the opposite leg

• The ratio of the adjacent leg to the hypotenuse

• The ratio of the opposite leg to the adjacent leg

• The ratio of the opposite leg to the hypotenuse

How is the cosine of an angle defined in a right triangle?

• The ratio of the adjacent leg to the opposite leg

• The ratio of the hypotenuse to the opposite leg

• The ratio of the adjacent leg to the hypotenuse

• The ratio of the opposite leg to the hypotenuse

What is the tangent of an angle in a right triangle?

• The ratio of the hypotenuse to the opposite leg

• The ratio of the opposite leg to the adjacent leg

• The ratio of the adjacent leg to the hypotenuse

• The ratio of the hypotenuse to the adjacent leg

Which leg is opposite to angle A in a right triangle?

• The leg that is the longest

• The hypotenuse

• The leg that does not touch angle A

• The leg that touches angle A

What is the adjacent leg to angle B in a right triangle?

• The leg that does not touch angle B

• The hypotenuse

• The leg that touches angle B

• The leg opposite to angle B

How many trigonometric functions are there?

• Three

• Four

• Five

• Six

What is the abbreviation for cosine?

• cot

• sin

• cos

• tan

Which trigonometric function is the reciprocal of sine?

• Cosecant

• Secant

• Tangent

• Cosine