Note that 1 - cos(x) = 2sin²(x/2)
⇒ lim x→0 xtan(x)/ [1 - cos(x)] =
= lim x→0 xtan(x) / 2sin²(x/2) =
= lim x→0 1/2 xtan(x) / [sin²(x/2) / (x/2)² * (x/2)²]
Also, we know that lim x→0 sin(x)/x = lim x→0 tan(x)/x = 1
So the limit is :
= 1/2 lim x→0 xtan(x) / (x²/4) =
= 1/2 lim x→0 4/x² * xtan(x) =
= 2 lim x→0 tan(x)/x =
<span>= 2.
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<u>We need to solve,</u>
We can write the above mentioned expression as,
So,
So,
Hence,
Taking common in respective terms,
On cancelling 4 with 2,
Taking (-) common,
So, (√5 - √7) gets cut,
<u>Hence, </u>
Answer:
Im taking your points then
Answer:
Length of the tape = Length of the side of the Cube = ³√ V
Step-by-step explanation:
The Volume of a cube box = s³
Where s = length of the side of a cube.
The units of a cube is given as cubic units.
From the question, we were told, a decorative tape was placed at the side of the cube.
Since the volume of a cube is designated as V,
The length of the tape is equivalent to the side of a cube.
Therefore, Since V = s³
Length of the tape = Length of the side of the cube is derived as :
V = s³
Find the cubic root of both side
³√ V = ³√ s³
s = ³√V
Therefore the Length of the tape = Cubic root of the Volume of the cube and it is expressed mathematically as :
s = ³√V
Answer:
43°
Step-by-step explanation:
Calculating for the measure of angle C using
<h3>sine rule</h3>
