Which two of the following mapping statements describe the same translation?
1. (2,4)↦(−...
Mathematics, 23.05.2020 06:02 kaileyy06
Which two of the following mapping statements describe the same translation?
1. (2,4)↦(−4,1)
2. (6,−9)↦(0,1)
3. (−3,7)↦(−9,10)
4. (1,−5)↦(−5,−2)
Answers: 3
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Express the following as a function of a single angle. cos(60) cos(-20) - sin(60) sin(-20)
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Prove (a) cosh2(x) − sinh2(x) = 1 and (b) 1 − tanh 2(x) = sech 2(x). solution (a) cosh2(x) − sinh2(x) = ex + e−x 2 2 − 2 = e2x + 2 + e−2x 4 − = 4 = . (b) we start with the identity proved in part (a): cosh2(x) − sinh2(x) = 1. if we divide both sides by cosh2(x), we get 1 − sinh2(x) cosh2(x) = 1 or 1 − tanh 2(x) = .
Answers: 3
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