The function hours.

Find the number of hours of daylight in Newyork, North latitude of Newyork().

Convert latitude from seconds to normal degree representation angle.

.  

(a)

Summer solstice (). 

Calculate .

Substitute the values and in above function.  

Convert angle from degrees to radians.  

. 

The function hours.

Substitute the value in above function.

(b)

Vernal equinox ().

Calculate .

Substitute the values and in above equation. 

Convert angle from degrees to radians. 

The day function hours 

Substitute the value in above function.

(c)

July 4 ().

Calculate .

Substitute and .

Convert angle from degrees to radians  

The function hours.

Substitute  in above function.

.

(a) .

(b) .

(c) .