# how to make trigonometric ratios table working model for math’s exhibition

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:

1. Cardboard boxes (different sizes)
2. Ruler
3. Pencil
4. Craft knife or scissors
5. Protractor
6. Compass
7. String or yarn
9. Markers or colored pencils
10. Glue or tape

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

1. 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.
2. Label the Sides:
• Label the sides of each triangle as follows:
• Opposite side (O)
• Hypotenuse (H)
3. 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.
4. 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.
5. 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.
6. Create Labels for Angles:
• For each triangle, write the angle measurement near it. For example, for a 30-degree angle, write “30 degrees.”
7. 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.
8. Color or Decorate:
• Use markers or colored pencils to color or decorate the triangles and labels.
9. 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.
10. 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).
11. Attach the Triangles to the Table:
• Attach each triangle to the corresponding cell in the table using split pins (brads)