Write the Word or Phrase That Best Completes Each Statement $$\mathrm { D } = 24 \left[ 1 - \frac { \cos ^ { - 1 } ( \tan \mathrm { i } \tan \theta ) } { \pi } \right]$$

Write the word or phrase that best completes each statement or answers the question.
Solve the problem.
-The formula
$$\mathrm { D } = 24 \left[ 1 - \frac { \cos ^ { - 1 } ( \tan \mathrm { i } \tan \theta ) } { \pi } \right]$$ can be used to approximate the number of hours of daylight when the declination of the sun is i orth $$i ^ { \circ } \text { at a location } \theta ^ { \circ }$$ latitude for any date between the vernal equinox and autumnal equinox. To use this formula, $$\cos ^ { - 1 } ( \tan i \tan \theta )$$ must be expressed in radians. Approximate the number of hours of daylight in Fargo, North Dakota,
for vernal equinox $\text { ( } 46 ^ { \circ } 52 ^ { \prime } \text { north latitude) }$ $\left( \mathrm { i } = 0 ^ { \circ } \right)$