Anyone can check if these homework questions are correct

I have a couple of homework questions, appreciate if someone can take the
time to check my answers.
Q1 Given that voltages v1 = 12 sin 100 pi t and v2 = 20 sin ( 100 pi t +
(pi / 3) ). State the minimum value and the phase angle (relative to v1) of
the resultant voltage v1 + v2 by writing the sum as a single sinusoid.
My answer 28 sin ( 100 pi t + 0.667 )
In an ac circuit i = 100 sin 20 pi t amperes and v = 50 sin (20 pi t -
( pi /
6 )) volts
Instantaneous power p, is given by p = vi watts
Use "products-to-sums" formulae to express p in a form involving only one
sinusoid and hence state the maximum power.
My answer 2165 - 2500 cos ( 20 pi t - (pi / 6) )
TIA
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BIGEYE
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