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Scorpion4ik [409]
3 years ago
15

Prove that:sin3A/sinA - cos3A/cosA=2​

Mathematics
1 answer:
LekaFEV [45]3 years ago
6 0

The result essentially follows directly from the triple-angle identities,

sin(3A) = 3 sin(A) cos²(A) - sin³(A)

cos(3A) = cos³(A) - 3 sin²(A) cos(A)

Then

sin(3A)/sin(A) = 3 cos²(A) - sin²(A)

cos(3A)/cos(A) = cos²(A) - 3 sin²(A)

and

sin(3A)/sin(A) - cos(3A)/cos(A)

= 3(cos²(A) + sin²(A)) - (sin²(A) + cos²(A))

= 3 - 1

= 2

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A negative correlation is where one variable decreases with increase in the other. An example is the time taken to reach somewhere and the speed traveled at. The faster you move, the less the time.
No correlation means the two variables are not related. An example of this is as you get older, it does not mean you will get better grades.
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