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The graph of y=secxis one-to-one on the

interval [0,Ï€2)and on the interval(Ï€2,Ï€].

Short Answer

Expert verified

The given statement: The graph of y=secxis one-to-one on the

interval [0,Ï€2)and on the interval(Ï€2,Ï€]is true.

Step by step solution

01

 Step 1. Given information

The functiony=secxis one-to-one on the

interval[0,Ï€2)and on the interval(Ï€2,Ï€].

02

Step 2. To find value of Sec x.

Secx=1Cosx

Suppose Cosx=0then xwould be multiple of π2.

That is, if x=Ï€2then

Cosx=Cos(Ï€2)Cosx=0

and

Secx=1CosxSecx=1Cosπ2Secx=10=undefined

03

Step 3. Graph of the functiony=secx.

From graph we observe that the given statement is true.

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