How do you find \sin(\sin^{-1}(\frac{1}{4})) ?

Nataly Best 2022-01-23 Answered
How do you find sin(sin1(14)) ?
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Expert Answer

Eliza Norris
Answered 2022-01-24 Author has 15 answers
Recall that sin[arcsin(x)]=x for x in the domain of arcsin(x)
(The domain of arcsin(x) is: 1x1)
Therefore sin[arcsin(14)]=14
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waijazar1
Answered 2022-01-25 Author has 13 answers
If:
y=sinx
Then:
arcsin(y)=x
Hence:
arcsin(sinx)=x
So:
arcsin(sin(14))=14
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