Session 20 - Examples: Velocity, Speed and Arc Length
In #2 in this PDF how does 2a get reduced to
2a (sin^2(θ/2))^1/2?
I assume we start by squaring sin^2(θ/2) and sin(θ/2)cos(θ/2) and then taking the square root of the sums, yes? If yes I can reduce sin^2(θ/2) down to itself but I cannot seem to get rid of sin(θ/2)cos(θ/2)?
My steps are:
1. Take the square root of the sum of (sin^2(θ/2))^2 + ((sin(θ/2)cos(θ/2))^2
2. Square root of: (1/2[1-cos(θ)])^2 + (1/2sin(θ))^2
3. Square root of: (sin^2(θ/2))^2 + (1/2sin(θ))^2
I'm stuck here.

Hey! We 've verified this expert answer for you, click below to unlock the details :)

I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!

The second line in the above answer should have sin^2 * cos^2, not '+', sorry.

Looking for something else?

Not the answer you are looking for? Search for more explanations.

## More answers

Looking for something else?

Not the answer you are looking for? Search for more explanations.