In this lab, we will calculate the derivatives of trigonometric functions. For tests and exams, you will have to know all of these derivatives that you will calculate. We will need to know the following identities and derivatives:
![200_Calculate the derivatives of trigonometric functions.png](https://secure.tutorsglobe.com/CMSImages/200_Calculate%20the%20derivatives%20of%20trigonometric%20functions.png)
1. Calculate d/dx cos(x) by using the chain rule and the trig identities above.
2. Write tan(x); sec(x); csc(x); and cot(x) in terms of sin(x) and cos(x):
3. Show that
![90_Calculate the derivatives of trigonometric functions1.png](https://secure.tutorsglobe.com/CMSImages/90_Calculate%20the%20derivatives%20of%20trigonometric%20functions1.png)
Remember that you know the derivatives of sin(x) and cos(x).
4. Show that
![932_Calculate the derivatives of trigonometric functions2.png](https://secure.tutorsglobe.com/CMSImages/932_Calculate%20the%20derivatives%20of%20trigonometric%20functions2.png)