Trigonometric Ratios and Right Triangles

The video tutorial explains how to solve for missing values in right triangles using trigonometry. It covers the three primary trigonometric ratios, their importance, and how they relate to angles and sides of a triangle. An example using a 30° angle is provided to illustrate the concept of side ratios. The tutorial also explains how calculators use algorithms to return trigonometric ratios and emphasizes the importance of identifying the opposite, adjacent, and hypotenuse sides in a triangle. Finally, it demonstrates how to set up trigonometric ratios using these identified sides.

What is the main focus of the video tutorial?

• Solving algebraic equations

• Solving for missing values in right triangles using trigonometry

• Understanding calculus concepts

• Learning about geometric shapes

Which of the following is NOT a primary trigonometric ratio?

• Secant

• Tangent

• Cosine

• Sine

Why is it important to understand angles in trigonometric ratios?

• Because angles determine the type of triangle

• Because angles are used to calculate area

• Because angles are part of the ratio of two sides

• Because angles are always 90 degrees in right triangles

What is the trigonometric ratio for a 30° angle?

• 1/2

• 1/3

• 3/4

• 2/3

If one side of a right triangle is 7, what is the length of the hypotenuse if the angle is 30°?

• 21

• 10

• 14

• 7

What is the relationship between the sides in a 30°-60°-90° triangle?

• 1:2:3

• 1:√3:2

• 1:2:√3

• 1:1:√2

What is the relationship between the sides in a 30°-60°-90° triangle?

• 1:√3:2

• 1:2:3

• 1:1:√2

• 1:2:√3

What does a calculator return when you input the sine of 30°?

• 1

• 0.3

• 0.5

• 2

What should you ensure about your calculator when finding trigonometric ratios?

• It is in radian mode

• It is in degree mode

• It is in scientific mode

• It is in basic mode

What is the sine of 30°?

• 0.5

• 0.3

• 1

• 2