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Sin-1(sin 2)
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✨Heya dear!✨
How do I solve sin^-1 (sin 2)?
Sin^-1(sin2)
Here sin^-1 is sin inverse function.
Its range is between -pi/2 to pi/2 which is approximately -1.57 to 1.57
At first glance it seems easy as sin^-1(sin 2) must be equal to 2.
But, as you can see 2 is not part of range of the function.
We also know that sin(pi-x)=sin(x)
Hence Sin(pi-2)=sin2
So Sin^-1(sin2)=sin^-1(sin(pi-2))=pi-2
So, sin^-1(sin(2))=pi-2=1.141 (approx.)
As 1.141 lies between -1.57 and 1.57, it is the correct answer.
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Step-by-step explanation:
he. answer will be only.... 2.
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