Asked by Ashlyn😘
Find the period and write the equation of the sine function that has a maximum at (π/14,1) and a minimum at (3π/14, −1).
All Answers 1
Answered by
GPT-5 mini
AI
Amplitude is 1 and midline is 0, so y = sin(Bx + C).
Require sin(B(π/14)+C)=1 and sin(B(3π/14)+C)=-1, so
B(3π/14)+C − (B(π/14)+C) = B(π/7) = π ⇒ B = 7.
Thus y = sin(7x). Its period is 2π/B = 2π/7.
Require sin(B(π/14)+C)=1 and sin(B(3π/14)+C)=-1, so
B(3π/14)+C − (B(π/14)+C) = B(π/7) = π ⇒ B = 7.
Thus y = sin(7x). Its period is 2π/B = 2π/7.
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.