- #1
shanshan
- 24
- 0
Homework Statement
I need to simplify vf = [(vcosx/2)^2+((2v-vsinx)/2)^2)]^1/2
as far as possible
Homework Equations
The Attempt at a Solution
vf = [(vcosx/2)^2+((2v-vsinx)/2)^2)]^1/2
= [(v^2cos^2(x)+v^2sin^2(x)+4v^2+2vsinx)/2]^1/2
= [(v^2(1)+4v^2-2vsinx)/2]^1/2 ---- using trig identity sin^2x+cos^x = 1
= [(5v^2-2vsinx)/2]^1/2
But this is not the answer - is anyone able to find any problems in my work, or can I simplify it further?