Creating a trigonometric ratios table working model with cardboard boxes can be a tactile and engaging way to illustrate the relationships between the angles and trigonometric ratios.

Below is a step-by-step guide:

**Materials:**

- Cardboard boxes (different sizes)
- Ruler
- Pencil
- Craft knife or scissors
- Protractor
- Compass
- String or yarn
- Split pins (brads)
- Markers or colored pencils
- Glue or tape

## Step by Step **Instructions trigonometric ratios table working model:**

**Create Right-Angled Triangles:**- Use the cardboard boxes to create right-angled triangles. Cut out triangles from the cardboard, ensuring one angle is 90 degrees.

**Label the Sides:**- Label the sides of each triangle as follows:
- Opposite side (O)
- Adjacent side (A)
- Hypotenuse (H)

- Label the sides of each triangle as follows:
**Cut Holes for Ratios:**- For each side (O, A, H), cut out a hole near the vertex of the triangle. The sizes of the holes can represent the lengths of the sides.

**Use a Compass for Consistency:**- To make the holes consistent, use a compass to draw circles before cutting them out. The radius of the circles can represent the length of each side.

**Attach Strings for Visualization:**- Attach strings or yarn to the vertices of the triangles. Connect the opposite side hole with a string, the adjacent side hole with another string, and the hypotenuse hole with a third string.

**Create Labels for Angles:**- For each triangle, write the angle measurement near it. For example, for a 30-degree angle, write “30 degrees.”

**Create Labels for Ratios:**- For each triangle, create labels for the trigonometric ratios (sin, cos, tan, cosec, sec, cot). Write these labels near the corresponding sides.

**Color or Decorate:**- Use markers or colored pencils to color or decorate the triangles and labels.

**Attach to a Base:**- Glue or tape the triangles onto a larger piece of cardboard to serve as the base. Arrange them in a way that allows for easy observation and comparison.

**Create a Table:**- Create a table on the base or a separate piece of cardboard. Label the columns with the angles (e.g., 30, 45, 60 degrees) and the rows with the trigonometric ratios (sin, cos, tan, cosec, sec, cot).

**Attach the Triangles to the Table:**- Attach each triangle to the corresponding cell in the table using split pins (brads)