anonymous
  • anonymous
Use the double angle formula to rewrite the equation y = 4sin^2 (slashed zero) - 2.
Mathematics
jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
is the slashed zero theta?
anonymous
  • anonymous
Yes.
anonymous
  • anonymous
it reduces to \[y = -2 \cos(2\theta)\]

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anonymous
  • anonymous
Can you show me how it works?
anonymous
  • anonymous
You need to simply use that cos(2A) = 1- 2 sin^2(A)
anonymous
  • anonymous
so from this we take theta to be A
anonymous
  • anonymous
if you rewrite the equation you gave in that form it becomes.. -2 + 4sin^2(A)
anonymous
  • anonymous
from here we can factor out a -2 which leaves us with -2(1-2sin^2(A)) and you can see that the values under the parenthesis is just cos(2A) from the identity. So the answer you end up with after plugging in theta for A, is just -2cos(2Theta)
anonymous
  • anonymous
do you understand?
anonymous
  • anonymous
Yes. Thank you for giving a detailed explanation.
anonymous
  • anonymous
yeah no problem, glad i could help

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