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Hello,
Our Physics proffesor told us that for us is amost impossible to solve a problem, and who will solve it will get a 5 mark. So here is it:
y1 = a1·cos(wt-p1)
y2 = a2·cos(wt-p2)
I = y1 + y2 = ?
and he gave us the result which is :
I = a1² + a2² + 2·a1·a2·cos( p2-p1 ) .
So is there anyone who can give me a step by step solution of this ??
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Piece of cake!
I = a1² + a2² + 2a1a2cos( p2-p1 )

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Piece of cake!I = a1² + a2² + 2a1a2cos( p2-p1 )
![]()
This is wrong… :)) ( the situation not the solution )
Y is a value that is always equal itself in any direction. No matter how many times, y1, y2, or even y3, the result of y? will always be Y = 25.
y1 = 25.
y2 = 50.
a12 will always equal the value simplified as A = 1.
a22 = 4.
(2a = 27 / (27 -1) = 1) + (1a = 1)
1 + (32 – 16) = 17.
25 – 9 = 17.
(17 + (17 / 17)) – 9 = I.
However, that is not what your professor will agree with. But your goals are different than mine.
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Y is a value that is always equal itself in any direction. No matter how many times, y1, y2, or even y2, the result of y? will always be Y = 25. And Y x Y Will always result in birth.y1 = 25.
y2 = 50.
a12 will always equal the value simplified as A = 1.
a22 = 4.
(2a = 27 / (27 -1) = 1) + (1a = 1)
1 + (32 – 16) = 17.
25 – 9 = 17.
17 – 9 = I.
23 = 2+3 = 5. 5 is a number that perpetuates its equivalent. Like 5 times its value is equal to 5×5 = 25. 23 chromasomes. Mayans believed that the world was created 5 times before. F is failure, F is imperfect. F is death. But F is not the end. P is the prophecy. B is birth. P – B = N. N = 1+4 = E. E is a value that perpetuates its value. BENJ . PALWS – 10 = PALMS . Fingers, (starting from the left hand and alternating the value from left to right): 16, 27, 38, 49, 510. 16(P), 27(A), 38(L), 49(W), 510(S). S – J = I. I + (1-(0)) = 10. W = J = M. PALM .
Wow, you are a genius 
Sorry, like I said before. I’m not good at correctly translating my understanding in mathematical equations.
But if you count 17, 16, 15, 14, 13, 12, 11, 10, 9. The result is 9 = I.
Wow, you are a genius![]()
Not really.
I just realized that “I” didn’t solve the problem. But I’d understand it as 75. Still, Y. Oh well.
This is sum of two periodic functions(signals), I think I can solve i, should not be so hard, I can write you solution, but I’m not sure that your professor will accept it, because this requires some techniques that you probably should not know. What you study? Do you know what is euler’s formula, low of cosines and phasor diagrams?
Also I think that solution should be with
I^2=a1² + a2² + 2·a1·a2·cos( p2-p1 ) ;
or
I=sqrt(a1² + a2² + 2·a1·a2·cos( p2-p1 ));
check if that’s right.
regards
Lol, I just realized you are from Kosovo so you probably know Serbian…
tell me if you still need help I can explain it to you in Serbian if you prefer.
regards
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i hate math and physic 
Math… I’ve been such an idiot. I shouldn’t have tried to answer this.
