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denis23 [38]
3 years ago
15

Help mi plzz.........​

Mathematics
1 answer:
faust18 [17]3 years ago
3 0
Tan3A=tan(2A+A)

We know that , tan(x+y)=(tanx + tany)/(1 - (tanx)(tany))

tan(2A+A)=(tan2A+tanA)/(1 - (tan2A)(tanA))— (1)

We know that , tan2x=2tanx/(1 - tan^2x)

So, by substituting tan2A in (1),we get,

=[2tanA/(1 - tan^2A) + tanA]/1- (2tanA/(1 - tan^2A))(tanA)]

=[2tanA+tanA - tan^3A]/[1 - tan^2A - 2tan^2A]

=[3tanA - tan^3A]/[1-3tan^2A]

Therefore, tan3A= [3tanA - tan^3A]/[1-3tan^2A]

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Answer:

v

Step-by-step explanation:

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barxatty [35]

Answer:

The height of the larger traffic signs is 51.96 inches

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Given that initially, A company makes traffic signs of an equilateral triangle with the perimeter of 144 inches

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New perimeter will be 1.25x144=180 inches

Let triangle ABC be a larger triangle with 180inches of the perimeter.

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The perimeter of a triangle ABC is

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3AB=180

AB=60 inches

Figure show that triangle ABC and AD is the height of the triangle.

Since, the triangle ABC is an equilateral triangle,

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In right triangle ADB,

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Side BD=60/2=30 inches and AB=60 inches

Using Pythagoras theorem,

AD^{2} +BD^{2} =AC^{2}

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AD=51.96 inches

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