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ira [324]
3 years ago
15

What is the domain of y = sec(x)?

Mathematics
2 answers:
Andrei [34K]3 years ago
5 0

Answer:

\mathbb{R}-(n\pi+\frac{\pi}{2})

Step-by-step explanation:

We have, \text{y}=\text{sec} x

This can also be written as \text{y}=\frac{1}{\text{cos} x}

For this to be defined, \text{cos}x\neq 0

So, the function is defined for all real numbers except when \text{cos}x=0

i.e., for x=(2n+1)\frac{\pi }{2}\text{or}x=n\pi+\frac{\pi}{2}

Therefore, the domain of \text{y}=\text{sec} x is \mathbb{R}-(n\pi+\frac{\pi}{2})

OLEGan [10]3 years ago
3 0
<span>What is the domain of y = sec(x)?

Domain:
</span><span>All real numbers except pi/1 + n*Pi
</span>
Range:
<span>(-inf , -1] U [1 , + inf)</span>
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