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marysya [2.9K]
3 years ago
11

Show that tan (45°) = 1

Mathematics
1 answer:
Semenov [28]3 years ago
5 0

Answer:

Geometric proof in the explanation.

Step-by-step explanation:

Draw a square. A square has all equal sides and it's 4 angles each measure 90 degrees.

Draw a diagonal which will cut the square into two congruent isosceles right triangles.

So this will give you a 45-45-90 triangle.

I drew the triangle in the picture.

Tangent is opposite over adjacent so we don't need to find the hypotenuse in terms of a ( a is positive).

So tan(45)=a/a=1.

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Answer:

C. 1 / (a(a - 1))

Step-by-step explanation:

View Image

Just know that:

n! = n(n-1)!

   = n(n-1)(n-2)!

   = n(n-1)(n-2)(n-3)!

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3 years ago
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A triangle is placed in a semicircle with a radius of 5 yd, as shown below. Find the area of the shaded region.
Svetradugi [14.3K]

Answer:

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Step-by-step explanation:

The triangle area is given by the formula ...

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The semicircle is half the area of a circle with radius 5 yd, so its area is ...

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7 0
3 years ago
Find the exact value of x in the triangle below
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So this is a special triangle. The 30-60-90 triangle rule states that if the short leg is y, then the hypotenuse is 2y and the long leg is y√3.


In this case, the short leg is 5√3 since that times √3 makes 15.


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Ulleksa [173]

Answer:

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length=x+2

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