Two sinusoidal waves in a string are defined by the wave functions

$y_1=1\mathrm{.}60sin(16\mathrm{.}0x-33\mathrm{.}0t)$

$y_2=1\mathrm{.}60sin(27\mathrm{.}0x-43\mathrm{.}0t)$

where $x,y_1,$ and $y_2$ are in centimeters and $t$ is in seconds.

$($a$)$ What is the phase difference between these two waves at the point $x=5\mathrm{.}00cm$ at $t=2\mathrm{.}00s?($Your answer should be between $0$ and $360.)$

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$($b$)$ What is the positive $x$ value closest to the origin for whichthe two phases differ by $+-$ at $t=2\mathrm{.}00$ s$?($At that location, the two waves add to zero.$)$ cm