What is the Derivative of Sin(x), Cos(x), Tan(x) and Cot(x)?

Hello to everyone. I hope you are fine. In this article, we will write you what is the derivative of Sin(x), Cos(x), Tan(x), Cot(x) values. There is also an easy way to take their derivatives. We will also tell you about it. Now what is the derivative of Sin? What is the Cos derivative? What is the Tan derivative? What is the Cot derivative? Let's learn all.

Derivative integral coordinate (sin and cos) notation

In the image you see above, the orange arrows represent the derivative, while the green arrows represent the integral. So here the derivative of sinx is cosx. So if you follow the orange arrow, you can find the derivative of sin and cos. Likewise, the green arrows represent the integral. For example, the integral of cosx is sinx.

Now, let's find out together what are the derivatives of Sin, Cos, Tan, Cot values.

What is the derivative of sin(x)?

Sin x derivative = $\frac{d}{dx}\sin(x)=cos(x)$

What is the derivative of cos(x)?

Cos x derivative = $\frac{d}{dx}\cos(x)=-sin(x)$

What is the derivative of tan(x)?

Tan x derivative = $\frac{d}{dx}\tan(x)=1+tan^2(x)=\frac{1}{cos^2(x)}=sec^2(x)$

What is the derivative of cot(x)?

Cot x derivative = $\frac{d}{dx}\cot(x)=-(1+cot^2(x))=-\frac{1}{sin^2(x)}=-cosec^2(x)$

Thanks and good work...