MCQ
What is the value of $ \sin-1(\sin 6)?$
  • A
    $-2\pi - 6$
  • B
    $2\pi + 6$
  • either $-2\pi + 6$ or $2\pi + 6$
  • D
    $2\pi - 6$

Answer

Correct option: C.
either $-2\pi + 6$ or $2\pi + 6$
We know that $\sin(\text{x}) = \sin(2\text{A}^ * \pi + \text{x})$
 where $A$ can be positive or negative integer.
If $A$ is $-1,$ then $ \sin(6) = \sin(-2\pi + 6);$
If $A$ is $1,$ then $ \sin(6) = \sin(2\pi + 6).$

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