Can someone tell me if this is correct sin(2t)cos(2t) = 1/4sin(4t) This is my reasoning sin(2t) = 2sin(t)cos(t) yes? sin(4t) = 4sin(t)cos(t) yes? therefore 1/4sin(4t) = sin(t)cos(t)
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Originally Posted by pberardi Can someone tell me if this is correct sin(2t)cos(2t) = 1/4sin(4t) This is my reasoning sin(2t) = 2sin(t)cos(t) yes? sin(4t) = 4sin(t)cos(t) yes? therefore 1/4sin(4t) = sin(t)cos(t) You're almost there...but you're answer is incorrect. Note that . From the double angle identity, . Thus, . Since we let , we now see that
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