Venus is about 10^8 kilometers from the sun. saturn is about 10^9 kilometers from the sun. about how many times farther from the sun is saturn than venus?

What is the name used to describe a graph where for some value of x, there exists 2 or more different values of y?

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) = .

Problem 2. find the exact value of the remaining trigonometric functions. sketch theangle 8 for each problem. (3 points each)(a) tan 0 =o is in quadrant 2