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Algebra
Question

(b) The function \( p ( \theta ) \) is defined by:...

(b) The function \( p ( \theta ) \) is defined by: 

\( p ( \theta ) = \frac { 4 } { 12 + 6 \cos \theta + 8 \sin \theta } , 0 \leq \theta \leq 2 \pi \) 

Calculate: (i) The maximum value of \( p ( \theta ) ; \) 

 (ii) The value of \( \theta \) at which this maximum occurs. 

Answer

\(\theta= \pi- arctan\frac{3}{4}= 143\degree\\p= \frac{1}{3}\)

Solution
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