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Number of solutions of equation sin 9θ = sin θ in the interval [0,2π] is

  • a)
    16

  • b)
    17

  • c)
    18

  • d)
    15

Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
Number of solutions of equation sin 9θ = sin θ in the inte...
sin 9θ = sin θ ⇒  9θ = nπ + (-1)n θ
If n = 2m then 9θ = 2mπ + θ ⇒ θ = mπ/4
If n = 2m +1 then 9θ = (2m +1)π - θ
⇒ θ =  (2m +1) π/10
The values belonging to [0, π] are
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Community Answer
Number of solutions of equation sin 9θ = sin θ in the inte...
The equation sin(99) = sin(x) has infinitely many solutions. This is because the sine function is periodic with a period of 2π. Therefore, for any value of x that is 99 plus a multiple of 2π, the equation will still hold true.
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Number of solutions of equation sin 9θ = sin θ in the interval [0,2π] isa)16b)17c)18d)15Correct answer is option 'B'. Can you explain this answer?
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