The square root of (5^2) is 5. {(5^2)=25} {square root 25 is 5}.
The square root of -5^2 is also 5. {(-5^2)=25} {square root 25 is 5}.
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Answer:
is used to prove the given equation.
Step-by-step explanation:
We have given an equation:
We will consider right hand side first
tan x can be written as:
So, on substituting tan x in the left hand side of the given equation we get:
Cancel common term from denominator and numerator which is cosx we get
And we have an identity:
Hence, right hand side is equal to .
Answer:
4 × 5 × 6 × 1012 = 121440
= 1.2 × 10⁵
The sum of the first 20 terms of an arithmetic sequence with the 18th term of 8.1 and a common difference of 0.25 is 124.5
Given,
18th term of an arithmetic sequence = 8.1
Common difference = d = 0.25.
<h3>What is an arithmetic sequence?</h3>
The sequence in which the difference between the consecutive term is constant.
The nth term is denoted by:
a_n = a + ( n - 1 ) d
The sum of an arithmetic sequence:
S_n = n/2 [ 2a + ( n - 1 ) d ]
Find the 18th term of the sequence.
18th term = 8.1
d = 0.25
8.1 = a + ( 18 - 1 ) 0.25
8.1 = a + 17 x 0.25
8.1 = a + 4.25
a = 8.1 - 4.25
a = 3.85
Find the sum of 20 terms.
S_20 = 20 / 2 [ 2 x 3.85 + ( 20 - 1 ) 0.25 ]
= 10 [ 7.7 + 19 x 0.25 ]
= 10 [ 7.7 + 4.75 ]
= 10 x 12.45
= 124.5
Thus the sum of the first 20 terms of an arithmetic sequence with the 18th term of 8.1 and a common difference of 0.25 is 124.5
Learn more about arithmetic sequence here:
brainly.com/question/25749583
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