In which number does the digit 4 have a value that is 10 times as great as the value of the digit 4 in 348,971? 284,796 or 327,4
1 answer:
Answer:
The number is 492,875.
Step-by-step explanation:
Given:
A number that is =
Place value of 4 =
Place value is ten thousands.
We have to identify the number where the place value of 4 is 10 times of the given number.
Numbers given:
284,796 or 327,498 or 492,875 and 742,186.
Lets see the place value of 4 in each of the number.
⇒
-
place value of
is
.
- Place value of 4 is thousands.
⇒
place value of
.
- Place value of 4 is hundreds.
⇒
place value of
.
- Place value of 4 is hundred thousands.
⇒
place value of
.
- Place value of 4 is ten thousands.
Notes:
Ten thousands multiplied with ten is hundreds thousand.
⇒
So,
The number which has digit 4 as hundred thousands place values is 492,875.
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Rewrite the limand as
(1 - sin(<em>x</em>)) / cot²(<em>x</em>) = (1 - sin(<em>x</em>)) / (cos²(<em>x</em>) / sin²(<em>x</em>))
… = ((1 - sin(<em>x</em>)) sin²(<em>x</em>)) / cos²(<em>x</em>)
Recall the Pythagorean identity,
sin²(<em>x</em>) + cos²(<em>x</em>) = 1
Then
(1 - sin(<em>x</em>)) / cot²(<em>x</em>) = ((1 - sin(<em>x</em>)) sin²(<em>x</em>)) / (1 - sin²(<em>x</em>))
Factorize the denominator; it's a difference of squares, so
1 - sin²(<em>x</em>) = (1 - sin(<em>x</em>)) (1 + sin(<em>x</em>))
Cancel the common factor of 1 - sin(<em>x</em>) in the numerator and denominator:
(1 - sin(<em>x</em>)) / cot²(<em>x</em>) = sin²(<em>x</em>) / (1 + sin(<em>x</em>))
Now the limand is continuous at <em>x</em> = <em>π</em>/2, so