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Linearising a function?
Have the function y = 11sin(alpha(x-beta) + 10. We've been asked to make x the subject, hence obtaining a linear function of the type z = mu + b. If we make the x the subject. Does this linearise the function?
1 Answer
- cidyahLv 77 years agoFavorite Answer
y = 11sin(alpha(x-beta) + 10
Solve for x
y-10 = 11 sin (alpha (x- beta) )
(y-10)/ 11 = sin (alpha (x-beta) )
alpha(x-beta) = sin^-1( (y-10)/11)
x-beta = (1/alpha) sin^-1( (y-10)/11)
x = beta + (1/alpha) sin^-1( (y-10)/11)
x has been made the subject. It does not look linear.