SOLUTION: A sine wave test generator is an electronics labaratory can deliver two sine signals to a prototype electronic circuit. The equations for the sine wave signals are known to be Y

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Question 38729: A sine wave test generator is an electronics labaratory can deliver two sine signals to a prototype electronic circuit. The equations for the sine wave signals are known to be
Y1=4 sin^2 x+5 and y2 = 8 - sin x
find all values of x in degrees for which the two sine wave signals meet in the interval 0 deg greater or equal x less than 360 deg. (algebraic equation)

Answer by fractalier(6550)   (Show Source): You can put this solution on YOUR website!
Set them equal and solve...you can substitute y = sin x to make things easier...
4 sin^2 x + 5 = 8 - sin x
4y^2 + y - 3 = 0
(4y - 3)(y + 1) = 0
y = 3/4 and y = -1
sin x = 3/4 and sin x = -1
x = 46.8° and x = 270°

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