Math, asked by vijaykumar72, 11 months ago

f(x)=. sec (x-1) find the domain​

Answers

Answered by 860
0

Answer:

related answer

By rewriting a bit,

f

(

x

)

=

sec

x

=

1

cos

x

.

Since the denominator cannot be zero, we need to exclude numbers that make  

cos

x

equal to zero.

Since for all integer  

n

,

cos

(

π

2

+

n

π

)

=

cos

(

2

n

+

1

2

π

)

=

0

,

the domain of  

f

is all real numbers except for  

x

=

2

n

+

1

2

π

for all integer  

n

.

I hope that this was helpful.

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