.........................It is 40.
The given sequence is not arithmetic sequence
<em><u>Solution:</u></em>
Given sequence is:

We have to find if the above sequence is arithmetic sequence or not
An arithmetic sequence is a sequence of numbers such that the difference of any two successive members of the sequence is a constant
<em><u>Here in the given sequence</u></em>

<em><u>Let us find the difference between terms</u></em>




Thus the difference between terms is not constant
So the given sequence is not arithmetic sequence
(x,y)
domain is inputs (normally x or first number)
range is outputs from the given domain (normally y or second number)
domain is just all the first numbers
range is all the second numbers
ignore repeats
domain: {0,4,5}
range: {2,3,5,7}
1/2 × 5 2/3 × 3 = 5
the 2's cancel giving you 5 × 1/3 × 3
then the 3's cancel giving you 5 × 1
and 5 × 1 is 5.
Answer:
Step-by-step explanation:
Identities : -
cot = cos / sin
tan = sin / cos
( cot + tan ) sin = sec
LHS
= ( cot + tan ) sin
= ( ( cos / sin ) + ( sin / cos ) ) sin
= ( ( cos sin ) / sin ) + ( sin² / cos )
= cos + ( sin² / cos )
LCM = cos
= ( cos² / cos ) + ( sin² / cos )
= ( cos² + sin² ) / cos
Identity : -
cos² + sin² = 1
= 1 / cos
= sec
= RHS
Hence proved.