Helping students gain understanding and self-confidence in algebra.
Nar wrote:Using an inductive argument to show that
Step 1. See if it's true for n=1.
Nar wrote:Step 2. Assume it holds true for n = k
Step 3. Show it's true for k+1
Here I know if it is true, then
So taking the LHS
Using index laws
Using sin2A = 2sinAcosA
Now here is where I am confused. I know back in Step 2 I have and need to substitute this in but I'm unsure how to resolve it....
(ecause cos(2^(n-2)@) = cos(@))
Nar wrote:(because cos(2^(n-2)@) = cos(@))
Is this an identity, I don't know?
Nar wrote:But I don't know what to do with the ..... at the end
Nar wrote:I'm fine with this all until the very last step. I can't see how the following simplifies
...what happens with the both cos terms at the end?