Trigonometric Ratios and Functions

The video tutorial covers finding missing angles in right-angled triangles using trigonometric ratios: sine, cosine, and tangent. It begins with an introduction to the topic, followed by a recap of the trigonometric ratios. The tutorial then presents three questions, each demonstrating how to find a missing angle using one of the trigonometric functions. The process involves labeling the sides of the triangle, setting up the appropriate ratio, and using the inverse function on a calculator to find the angle. The lesson concludes with a reminder to use the inverse function when finding angles.

What is the main focus of today's lesson?

• Solving quadratic equations

• Learning about geometric shapes

• Finding missing angles using trigonometric ratios

• Understanding linear functions

Which trigonometric ratio is defined as opposite over hypotenuse?

• Secant

• Sine

• Cosine

• Tangent

What is the trigonometric ratio for tangent?

• Opposite over hypotenuse

• Adjacent over opposite

• Adjacent over hypotenuse

• Opposite over adjacent

How do you find a missing angle using the sine ratio?

• Add the opposite and hypotenuse

• Multiply the opposite and hypotenuse

• Use the inverse sine function

• Subtract the opposite from the hypotenuse

What is the value of the angle found using sine when opposite is 32 and hypotenuse is 37?

• 75.0 degrees

• 45.0 degrees

• 59.9 degrees

• 30.0 degrees

Which side is labeled as adjacent when using the cosine ratio?

• The hypotenuse

• The side opposite the angle

• The longest side

• The side next to the angle

What is the angle measure when using cosine with adjacent 46 and hypotenuse 57?

• 60.0 degrees

• 45.0 degrees

• 30.0 degrees

• 36.2 degrees

Which trigonometric ratio is used when opposite is 19 and adjacent is 38?

• Sine

• Cosine

• Tangent

• Cotangent

What is the angle measure found using tangent with opposite 19 and adjacent 38?

• 30.0 degrees

• 60.0 degrees

• 26.6 degrees

• 45.0 degrees

What is the first step in finding a missing angle using trigonometric ratios?

• Draw the triangle

• Find the perimeter of the triangle

• Calculate the area of the triangle

• Label the sides of the triangle