Asked by Ashley
Solve the multiple-angle equation. (Enter your answers as a comma-separated list. Let n be any integer. Enter your response in radians.)
sec 9x = 2
sec 9x = 2
Answers
Answered by
Reiny
sec 9x = 2
cos 9x = 1/2
so 9x = π/3 or 5π/3
but period of cos 9x is 2π/9
so adding / subtracting any multiples of 2π/9 to an existing answer will yield a new answer
general solution:
x = π/3 + 2nπ/9 , 5π/3 + 2nπ/9
cos 9x = 1/2
so 9x = π/3 or 5π/3
but period of cos 9x is 2π/9
so adding / subtracting any multiples of 2π/9 to an existing answer will yield a new answer
general solution:
x = π/3 + 2nπ/9 , 5π/3 + 2nπ/9
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