Taking the derivative (no numbers)

1. Apr 4, 2015

ME_student

1. The problem statement, all variables and given/known data
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.

2. Relevant equations
The equation is a differential characteristic equation with cos and sin.

3. 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.

File size:
44 KB
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85
2. Apr 4, 2015

vela

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

3. Apr 5, 2015

4. Apr 5, 2015

vela

Staff Emeritus
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.

5. Apr 5, 2015

SammyS

Staff Emeritus
No .

sin(θ) + cos(θ) ≠ 1

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

6. Apr 5, 2015

ME_student

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

File size:
45.8 KB
Views:
65