Taking the derivative (no numbers)

[ME_student]

Homework Statement

So I'd rather not type out the whole equation I am differentiating with respect to t... Sorry admins. My written work is on the image. I just want to make sure my work is correct.

Homework Equations

The equation is a differential characteristic equation with cos and sin.

The Attempt at a Solution

The attempt solution is on the image. Start at Line 1 to Line 2.

I applied product rule twice with chain rule. We are taking the derivative of the formula with respect to t.

 

[vela]

From what I can see in that little thumbnail, it looks fine.

 

[ME_student]

From what I can see in that little thumbnail, it looks fine.[/QUOTE

Okay thanks. Does my simplifying look fine as well?

 

[vela]

You simplified? It's hard to see anything in that little thumbnail, so I'll take your word for it. I suppose I could click on the thumbnail to bring up the larger image, but I'd rather not.

 

[SammyS]

Okay thanks. Does my simplifying look fine as well?

No .

sin(θ) + cos(θ) ≠ 1

However, sin²(θ) + cos²(θ) = 1, but you don't have that anywhere.

 

[ME_student]

Sorry for the small iMage. I got it figured out.