To rewrite y(t) = 2sin4πt + 5cos4πt in the form asin(ωt+φ), solve for φ. show your work and solution in the response box.

¢=68.2

Step-by-step explanation:

y(t) = 2sin4πt + 5cos4πt

Let , x = Asin¢ = 5

y = Acos¢ = 2

A = sqrt(5²+2²)

A= 5.39

y(t) = Acos¢sin4πt + Asin¢cos4πt

From Trigonometry rule,

y(t)= Asin(wt +¢)

tan¢ = 5/2

¢ = arctan(5/2) = 68.2°

y(t) = 5.39sin(wt + 68.2)

Where w = 4π

The angle ¢= 68.2°

x = 17

step-by-step explanation:

1st step: isolate x.

24 - 3x = -27

-24         -24

-3x   =   -51

2nd step: divide.

-3x     =   -51

  3             3

  x       =     17

hope this

i'm sorry mate, but i am not seeing any figures. i am unable to solve this for you.