If (a, c) 1 and blc, prove that (a, b) = 1

Let denote the greatest common divisor of .  We can prove this result as follows:

Step-by-step explanation:

The Bezout's identity establishes that if and only if for some integers .Since then we have that for some . Then,

Using the result of the Bezout's identity again we can concluide that .

find the magnitude of the trig term  

csc

(

x

)

−

1

by taking the absolute value of the coefficient.

1

find the lower bound of the range.

tap for more

y

=

−

2

find the upper bound of the range.

tap for more

y

=

0

the range is  

y

≤

−

2

or  

y

≥

0

.

(

−

∞

,

−

2

]

∪

[

0

,

∞

)

{

y

|

y

≤

−

2

,

y

≥

0

}

step-by-step explanation: