How to memorize derivatives of trigonometry function

Answer 1

Here are some tips to help you memorize the derivatives of trigonometry functions:

1. Familiarize yourself with the basic trigonometry functions: sine, cosine, tangent, cotangent, secant, and cosecant. Make sure you know the graph of each function.

2. Learn the derivative formulas for each function. Here are the derivatives of the basic trig functions:

- d/dx(sin(x)) = cos(x)
- d/dx(cos(x)) = -sin(x)
- d/dx(tan(x)) = sec^2(x)
- d/dx(cot(x)) = -csc^2(x)
- d/dx(sec(x)) = sec(x)tan(x)
- d/dx(csc(x)) = -csc(x)cot(x)

3. Use visual aids to help you remember the derivatives. For example, you could draw a triangle and label the sides with sine, cosine, and tangent. Then draw another triangle next to it labeled with the derivatives of each function. This can help you see the pattern and remember the formulas.

4. Practice, practice, practice! Do lots of practice problems to help reinforce the formulas in your memory. You could also try creating your own practice problems to challenge yourself.

5. Look for patterns and connections between the functions. For example, notice that the derivatives of sine and cosine are related to each other, as are the derivatives of tangent and cotangent. This can help you make connections between the formulas and remember them more easily.