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pogonyaev
3 years ago
8

For leaving school to visit Mexico Levant traded 270 American dollars and received 3000 Mexican pesos. When he returned from Mex

ico, he had 100 pesos left. How much will he receive when he exchanges these pesos for dollars?
Mathematics
1 answer:
lozanna [386]3 years ago
8 0
9.00 American dollars
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Find an identity for cos(4t) in terms of cos(t)
mestny [16]
So you can do this multiple ways, I'll do this the way that I think makes sense the l most easily.

Cos (0) = 1
Cos (pi/2)=0
Cos (pi) =-1
Cos (3pi/2)=0
Cos (2pi)=1

Now if you multiply the inside by 4, the graph oscillates more violently (goes up and down more in a shorter period).
But you can always reduce it.
Cos (0)= 1
Cos (4pi/2) = cos (2pi)=1
Cos (4pi) =Cos (2pi) =1 (Any multiple of 2pi ==1)
etc...
the pattern is that every half pi increase is now a full period as apposed to just a quarter of one. That's in theory.

Now that you know that, the identities of Cosine are another beast, but mathematically.
You have.

Cos (2×2t) = Cos^2 (2t)-Sin^2 (2t)
Sin^2 (t)=-Cos^2 (t)+1..... (all A^2+B^2=C^2)
Cos (2×2t) = Cos^2 (t)-(-Cos^2 (t)+1)
Cos (2×2t)= 2Cos^2 (2t) - 1

2Cos^2 (2t) -1= 2 (Cos^2(t)-Sin^2(t))^2 -1
(same thing as above but done twice because it's cos ^2 now)
convert sin^2
2Cos^2 (2t)-1 =2 (Cos^2 (t)+Cos^2 (t)-1)^2 -1
2 (2Cos^2(t)-1)^2 -1
2 (2Cos^2 (t)-1)(2Cos^2 (t)-1)-1
2 (4Cos^4 (t) - 2 (2Cos^2 (t))+1)-1
Distribute

8Cos^4 (t) -8Cos^2 (t) +1

Cos (4t) =8Cos^4-8Cos^2 (t)+-1






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Choose the correct simplification of the quantity of x to the 7th power over y to the 9th power all raised to the 2nd power.
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What is the value of the x in this equation x/8 = 7​
alina1380 [7]

Answer:

56

Step-by-step explanation:

x/8= 7

Cross multiply

x= 7×8

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Hence the value of x is 56

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