A laser beam is incident on two slits with separation d $=0\mathrm{.}042$ mm$.$ A screen is placed L $=2\mathrm{.}2$ m from the slits. The wavelength of the laser light is $=5500.$ $1$ and $2$ are the angles to the first and second bright fringes above the center of the screen. Express sin$($$1)$ in terms of d and $.$

sin$($$1)=$

$|$

$$

cotan$($$1)$cotan$($$2)$tan$($$1)$tan$($$2)$dghLmPt

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$$ Part $($b$)$

Express sin$($$2)$ in terms of d and $.$

$$ Part $($c$)$

Express the distance between the two bright fringes on the screen, y$,$ in terms of $1,$ $2$ and L$.$

$$ Part $($d$)$

Solve for the numerical value of y in meters.