SOLUTION: Find the number of solutions of sin 2(θ) = 1 where θ is in the interval[−A,A]. Note that the number might be different for different values of A, but mig

Algebra ->  Trigonometry-basics -> SOLUTION: Find the number of solutions of sin 2(θ) = 1 where θ is in the interval[−A,A]. Note that the number might be different for different values of A, but mig      Log On


   



Question 1083958: Find the number of solutions of sin 2(θ) = 1 where θ is in the interval[−A,A].
Note that the number might be different for different values of A, but might also be the same if two values of A are close enough. It will be helpful to graph the function. Now, repeat this question but use the equation sin 2(θ) =12

Answer by ikleyn(52894) About Me  (Show Source):
You can put this solution on YOUR website!
.
Hint #1.  The equation  sin%5E2%28theta%29 = 1  has the solutions  pi%2F2  and  3pi%2F2  in the interval  [0,2pi).

Hint #2.  The equation  sin%5E2%28theta%29 = 1  has the solutions  pi%2F2+%2B+k%2Api, k = 0, +/-1, +/-2, . . . on the entire number line.

Having these hints,  can you complete the solution on your own  ? ?