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Bess [88]
3 years ago
6

Rewrite 2tan 3x in terms of tan x.

Mathematics
2 answers:
AveGali [126]3 years ago
7 0
The answer is 2(3tan(x)-tan^3(x))/(1-3tan^2(x)) but it is a very long and tedious calculation using alot of trig identities.

Anastasy [175]3 years ago
3 0
We shall use the identity
tan(x+y) = (tanx + tany)/(1 - tanx tany)
Therefore
tan(3x) = tan(2x+x) = [tan(2x)+tan(x)]/[1 -tan(2x) tan(x)]
tan(2x) = (tanx +tanx)/(1 - tan^2x)

That is
tan(3x) = [(2tanx/(1-tan^2x} + tanx]/[1 - tanx(2tanx)/(1-tan^2x)]
            = [2tanx + tanx(1-tan^2x)][(1-tanx)(1-tan^2x) + 2 tan^2x]
            = [2tanx + tanx - tan^3x]/[1-tan^2x - tanx + tan^3x + 2tan^2x]
            = [3tanx - tan^3x]/[1 - tanx + tan^2x + tan^3x]

2 tan3x = [6tanx - 2tan^3x]/[1 - tanx + tan^2x + tan^3x]

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The area in which Taft contributed equal or surpass Roosevelt's was in conservation.....

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2 years ago
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A parking space shaped like a parallelogram has a base of 17 feet and a height of 9 feet if a mini car 6 feet long and five feet
lesantik [10]

Answer:

123 cm²

Step-by-step explanation:

First of all, we need to know how exactly to find the area of a parallelogram.

<u>Area</u><u> </u><u>of</u><u> </u><u>parallelogram</u><u>=</u><u> </u><u>Base</u><u>*</u><u>Height</u>

PARALLELOGRAM-

BASE= 17 ft

HEIGHT= 9ft

AREA= 17*9= 153 cm²

The area of parallelogram, will be considered as WHOLE AREA.

Now,

AREA OF MINI CAR-

length= 6 ft

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8 0
2 years ago
What is LN? The image consists of a number line labelled from negative 4 to positive 16 in the interval of two. Points L, M and
Solnce55 [7]
<h3>Answer:  A) 14</h3>

========================================================

Explanation:

Let's add point P at the location 0 on the number line.

The distance from L to P is 2 units. We can say LP = 2, ie segment LP is 2 units long.

Similarly, segment PN is 12 units long

Refer to the diagram below

The segments LP = 2 (red) and PN = 12 (blue) are then added to get the total distance from L to N. That total distance being LN = LP+PN = 2+12 = 14.

Point M is not used at all.

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2 years ago
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2 years ago
224 is what % of 640?
lakkis [162]
There is a percent formula for all of these types of percent problems.

It is : is/of = %/100

224 is what % of 640
is = 224
of = 640
% = x
now just sub
224/640 = x/100
cross multiply because this is a proportion
(640)(x) = (224)(100)
640x = 22400
x = 22400/640
x = 35......so 224 is 35% of 640


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3 years ago
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