Write the Word or Phrase That Best Completes Each Statement $\mathrm { S } = \mathrm { kd } ^ { 3 } \sin ^ { 2 } \theta \cos \theta$

Essay

Write the word or phrase that best completes each statement or answers the question.
-The strength S of a wooden beam with rectangular cross section is given by the formula $\mathrm { S } = \mathrm { kd } ^ { 3 } \sin ^ { 2 } \theta \cos \theta$ where d is the diagonal length, θ the angle illustrated, and k is a constant that varies with the type of wood used. Let d = 1 and express the strength S in terms of the constant k for θ = 45°, 50°, 55°, 60°, and 65°. Does the strength
always increase as θ gets larger?