SOAR Geo | 8-3A Trigonometry

Multiple Choice

What is trigonometry?

• Trigonometry is the study of the relationships between the angles and sides of triangles.
• Trigonometry focuses on the properties of circles and spheres.
• Trigonometry is the study of calculus and its applications.
• Trigonometry is the analysis of statistical data and probabilities.

Multiple Choice

What type of triangle does trigonometry mainly focus on?

• Right triangles

• Isosceles triangles

• Scalene triangles

• Equilateral triangles

Multiple Select

What is $$\theta$$ ?

• Theta (θ) is a type of triangle.
• Theta (θ) is a Greek letter.

• Theta (θ) often represents an angle in math.

• Theta (θ) is a unit of measurement for temperature.

Labelling

Label the sides of the right triangle with respect to θ.

Drag labels to their correct position on the image

adjacent

opposite

hypotenuse

Labelling

Label the sides of the right triangle with respect to θ.

Drag labels to their correct position on the image

hypotenuse

opposite

adjacent

Labelling

Label the sides of the right triangle with respect to θ.

Drag labels to their correct position on the image

opposite

adjacent

hypotenuse

​https://www.youtube.com/watch?v=4KhZa0lLn_Q

Multiple Choice

What is a trigonometric ratio?

• A trigonometric ratio is the angle of a triangle.
• A trigonometric ratio is a ratio of the lengths of two sides of a right triangle.
• A trigonometric ratio is the sum of the angles in a triangle.
• A trigonometric ratio is a formula used to calculate the area of a triangle.

Match

Match each trigonometric ratio with the correct sides.

• $$\sin\theta$$

• $$\cos\theta$$

• $$\tan\theta$$

• $$\frac{opposite}{hypotenuse}$$

• $$\frac{adjacent}{hypotenuse}$$

• $$\frac{opposite}{adjacent}$$

Labelling

Label the sides of the right triangle.

Drag labels to their correct position on the image

hypotenuse

opposite

adjacent

Drag and Drop

Find the values of each trigonometric ratio for the given triangle.

sin θ =​

Placeholder

cos θ =​​

Placeholder

tan θ =​ ​​

Placeholder

Drag these tiles and drop them in the correct blank above

Labelling

Find the values of each trigonometric ratio for the given triangle.

Drag labels to their correct position on the image

adjacent

hypotenuse

opposite

Math Response

What is $$\sin\theta$$ ?

Type answer here

Correct Answer: \frac{24}{25}

Deg^°

Rad

Math Response

What is $$\cos\theta$$ ?

Type answer here

Correct Answer: \frac{7}{25}

Deg^°

Rad

Math Response

What is $$\tan\theta$$ ?

Type answer here

Correct Answer: \frac{24}{7}

Deg^°

Rad