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# Need help with this question. watch

1. Its in OCR Core 3 Jan 08
6 iii) Find exact solutions of |-sin^(-1)⁡(x-1) |=( 1⁄3) pi

Thanks if you can help
2. First step - take sin of both sides to remove the arcsin

imples that

EDIT

Now consider the modulus sign. First assume 1 - x is positive, so can ignore it. This gives

Now consider 1 - x is negative, so solve

to get

Was a bit careless with modulus signs in this but subbing the answer back in shows both are valid.
First step - take sin of both sides to remove the arcsin

imples that

EDIT

Now consider the modulus sign. First assume 1 - x is positive, so can ignore it. This gives

Now consider 1 - x is negative, so solve

to get

Was a bit careless with modulus signs in this but subbing the answer back in shows both are valid.

Thankyou very much

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Updated: January 18, 2010
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