Definition of cosec
- 1 x For x R - (-1,1), if q is an angle whose cosecant is x, then we say that cosecant inverse of x is q and write cosec -1 x = q . In particular, if q [ -p/ 2, p /2] - {0}, then q is called the principal value of cosec -1 ..
- 1 x For x R - (-1,1), if q is an angle whose cosecant is x, then we say that cosecant inverse of x is q and write cosec -1 x = q . In particular, if q [ -p/ 2, p /2] - {0}, then q is called the principal value of cosec -1 ..Some properties of inverse trigonometric functions
In the principle value branches, the following formulae holds: - sin -1 (sin x) = x - cos -1 (cos x) = x - tan -1 (tan x) = x - cos -1 (cot x) = x - sec -1 (secx) = x - cosec -1 (cosecx) = x - sin -1 (-x) = -sin -1 x - cos -1 (-x) = p - cos -1 ..
In the principle value branches, the following formulae holds: - sin -1 (sin x) = x - cos -1 (cos x) = x - tan -1 (tan x) = x - cos -1 (cot x) = x - sec -1 (secx) = x - cosec -1 (cosecx) = x - sin -1 (-x) = -sin -1 x - cos -1 (-x) = p - cos -1 ..See what our Users say :
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