11
QuizMultiple Choice

Trigonometric Functions — Test

Question 11 • Mathematics III

What is the period of the function y is equal to 3 halves cotangent open paren 3 fifths x close paren plus 5 ?

Answer
A
2 pi over 3 units
B
3 pi over 5 units
C
5 pi over 3 units
D
pi over 5 units

Explanation

The basic cotangent function has a period of π. For cot((3/5)x), the period is π divided by the coefficient of x: π ÷ (3/5) = 5π/3. The factor 3/2 and the vertical shift of 5 do not change the period, so the period is 5π/3 units.

AI-written and checked against the verified answer.

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