What is the range of arcsec(x) ?

The range of arcsec(x) is -pi<f(x)<=-pi/2 \lor 0<f(x)< pi/2

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range of arcsec(x)

range

- π < f (x) \leq - \frac{π}{2} or 0 < f (x) < \frac{π}{2}

Interval Notation

Solution steps

The range of the basic

arcsec

function is

- π < arcsec (x) \leq - \frac{π}{2} or 0 < arcsec (x) < \frac{π}{2}

- π < arcsec (x) \leq - \frac{π}{2} or 0 < arcsec (x) < \frac{π}{2}

Therefore the range is

- π < f (x) \leq - \frac{π}{2} or 0 < f (x) < \frac{π}{2}

What is the range of arcsec(x) ?
The range of arcsec(x) is -pi<f(x)<=-pi/2 \lor 0<f(x)< pi/2