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Trignometry

Cool goIITian

Joined:	18 Dec 2011
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26 Jan 2012 09:20:59 IST

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Inverse trigonometry

Mathematics

If Cos^-1 x - Sin^-1 x = 0 then find the value of x ?

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hemang

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Joined: 27 Dec 2010

Posts: 1474

26 Jan 2012 10:13:36 IST

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i think you mean that sine inverse x = cos inverse x

then it simply implies that we have to find an angle for which the sine and the cosine are equal,

also if we define the principal range as [-pi/2 , pi/2] for sin inverse x and [0,pi] for cos inverse x then it is not hard to see that

pi/4 will do..

so x = 1/root2..

SHIRAS MOHAMED S

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Joined: 6 Feb 2012

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8 Feb 2012 00:03:58 IST

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Adding (1) and (2) we get

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