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Show that f(x)=sinx is an increasing fun...

Show that `f(x)=sinx` is an increasing function on `(-pi//2,\ pi//2)` .

Text Solution

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We have given `f(x)=sinx`
`impliesf′(x)=cosx`
`cosx`>`0` for `x in(−pi/2,pi/2)`
`impliesf `is increasing in that interval.
Hence `f ′(x)=sinx` is an increasing function on `(-pi/2,\ pi/2)`
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