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Trigonometry
Question

Because the values of circular functions repeat ev...

Because the values of circular functions repeat every \( 2 \pi \) , they are used to describe things that repeat periodically. For example, the maximum afternoon temperature in a given city might be modeled by the formula below. In the formula, trepresents the maximum afternoon temperature in month \( x \) , with \( x = 0 \) representing January, \( x \) representing February, and so on. 

\( t = 15 - 10 \cos \frac { x \pi } { 6 } \) 

 

The maximum afternoon temperature in January is \( 5 ^ { \circ } \) 

(Round to the nearest integer as needed.) In May, the maximum afternoon temperature is \( 20 ^ { \circ } \) 

(Round to the nearest integer as needed.) 

 

 

The maximum afternoon temperature in September is \( \square ^ { \circ } \) 

(Round to the nearest integer as needed.) 

Answer

The maximum afternoon temperature in September is  15 

Solution
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