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

Nataly Best

Nataly Best

Answered question

2022-01-23

How do you find sin(sin1(14)) ?

Answer & Explanation

Eliza Norris

Eliza Norris

Beginner2022-01-24Added 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
waijazar1

waijazar1

Beginner2022-01-25Added 13 answers

If:
y=sinx
Then:
arcsin(y)=x
Hence:
arcsin(sinx)=x
So:
arcsin(sin(14))=14

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