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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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What is 56.6 repeating when rounded to the nearest .1
vesna_86 [32]
56 6 repeating when rounded to the nerest .1 is 56.7
8 0
3 years ago
Is (11,9), (11,5), (9,3) a function
Marina86 [1]

Answer:

\huge{ \boxed{ \sf{No}}}

✑ Question :

  • Is ( 11 , 9 ) , ( 11 , 5 ) , ( 9 , 3 ) a function ?

No , it's not a function.

✎ Reason :

This is not a function because one element 11 of set A is associated to elements 9 and 5 of set B.

♨ Explore about function :

↪ Function is a special type of relation. It is the refinement of relation. In a relation from A to B , every element of set A should have only one ( distinct ) image in B to be a function. In other words , if no two different ordered pairs have the same first component , then it is a function.

Hope I helped!

Have a wonderful day ! ツ

~\sf{TheAnimeGirl} ♡

▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁

7 0
2 years ago
Just question 7 thanks
ad-work [718]
Let x be the number of boys, the number of girls will be 200-x

Number of boys with blue eyes x/3
Number of girls with blue eyes (200-x)/4
ll blue eyes ==> x/3 + (200-x)/4 = 57
Reduce to same denominator & solve for x
(4x + 600 - 3x)/12 = 681/12
x=81, the total number of boys & girls200-81 119

5 0
2 years ago
Hi!!! People have been giving out points all day and i thought i would have a turn!! (30 points) I’ll give the crown to whoever
bezimeni [28]

Answer:

hi, hope you are good!, hope you have the greatst holidays ever!

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
The length of a rectangle is 11 in. longer than its width. the perimeter of the rectangle is 86 in.write and solve an equation t
Tcecarenko [31]
I hope this helps you


width w


length w+11



perimeter =2 (width +length )


86=2 (w+w+11)


43=2w+11


32=2w


w=16

length = w+11=16+11=27
6 0
3 years ago
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