Engineering mathematics — trigonometry, calculus basics

What you'll learn

1. 1

   Imagine you're designing a ramp for a warehouse 🏗️. The angle of the ramp and its height are linked by a special ratio called sine.

2. 2

   In a right-angled triangle, which side is opposite the angle?

3. 3

   Drag the angle slider to see how the opposite side changes. The ratio opposite/hypotenuse is called sine.

4. 4

   A ramp has a 30° angle and a hypotenuse of 10 m. How tall is the ramp? (sin 30° = 0.5)

5. 5

   If the ramp angle is 45° and hypotenuse is 8 m, what is the height? (sin 45° ≈ 0.707)

6. 6

   Now let's look at how things change — calculus studies slopes of curves. The derivative tells you the steepness at any point.

7. 7

   What does the derivative of distance tell you?