Homework Statement
The experiment in my Physics lab today was to determine the mechanical advantage and efficiency of various pulley systems. My calculated work output is higher than my work input, which is causing an abnormally high value for efficiency, and I am attempting to find the source...
Homework Statement
Establish the identity: 1+cos(2θ)+cos(4θ)+cos(6θ)=4cosθcos(2θ)cos(3θ)
Homework Equations
cos(a)+cos(b)=2cos((a+b)/2)cos((a-b)/2)
The Attempt at a Solution
I understand how to do a simple cos(+/-)cos problem according to the Sums as Products equations, but I am...
Homework Statement
cos^-1(sin(5pi/4))
Homework Equations
n/a
The Attempt at a Solution
I began by finding the reference angle of 5pi/4 by subtracting pi, and I got pi/4. pi/4 must be part of an isosceles right triangle, so I drew a diagram with sides 1,1, and √2. I found sin pi/4...
I've still got you here.
Wait. How do I know this by knowing the definition of cosine? I'm not given any values...
I don't understand how I am supposed to find a 2nd side from one of the sides...
Okay, the first two things you said make sense. I am not getting how I am supposed to get the third side, as I'm not sure what values I am supposed to input into the Pythagorean theorem. I'm frustrated because I've been trying to work this problem for hours, and I'm still lost...
Homework Statement
csc(cos^-1 u)
Homework Equations
Fundamental identities properties
The Attempt at a Solution
The book is incredibly vague on how to do this. I tried multiplying csc by (cosθ/cosθ) to get cotθ*secθ. I'm not sure if this is the right thing to do, or what to do...
Homework Statement
csc^-1((2sqrt3)/3)Homework Equations
csc^-1((2sqrt3)/3) = sin^-1(3/(2sqrt3))The Attempt at a Solution
My Math Lab says I am supposed to use the equivalent sine function, so then I got sin^-1(3/2sqrt3). Then what do I do?