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melisa1 [442]
3 years ago
7

I'm really having trouble simplifying trigonometric expressions, I understand the identities, but sometimes I get stuck, and rea

lly need an explanation
sint + tan t
________
tan t
Mathematics
1 answer:
Karolina [17]3 years ago
8 0
\bf \cfrac{sin(t)+tan(t)}{tan(t)}\impliedby \textit{distributing the denominator}
\\\\\\
\cfrac{sin(t)}{tan(t)}+\cfrac{tan(t)}{tan(t)}\implies \cfrac{sin(t)}{\frac{sin(t)}{cos(t)}}+1\implies 
\cfrac{\frac{sin(t)}{1}}{\frac{sin(t)}{cos(t)}}+1
\\\\\\
\cfrac{sin(t)}{1}\cdot \cfrac{cos(t)}{sin(t)}+1\implies cos(t)+1
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PLEASE I AM MARKING BRAINLEST!
Artemon [7]

Answer:

5, 9,13,17

Step-by-step explanation:

5 +4 +4+4

8 0
2 years ago
Read 2 more answers
Find the area of the polygon with vertices (1, 2) (1, -5) (5, -5) (5,2)
Svetradugi [14.3K]

Answer:

28 square units

Step-by-step explanation:

These vertices are written in the form of their x and y coordinates. Let

A=(1,2) ; B =(1,-5) ; C =(5, -5) ; D=(5,2)

The x points are 1, 1, 5, 5

The y points are 2,-5, -5, 2

The x extremes range from 1 to 5. The length  in-between is 5-1 = 4

The y extremes range from -5 to 2. The length  in-between is 2-(-5) = 7

Area of the polygon enclosed by the coordinates

   = 4 x 7 = 28 square units

5 0
3 years ago
Long Division: (3x^4-8x^3-x^2+9x+5) / (x-2) pleaseee answer this
Drupady [299]

3<em>x</em>⁴ = 3<em>x</em>³ • <em>x</em>, and

3<em>x</em>³ (<em>x</em> - 2) = 3<em>x</em>⁴ - 6<em>x</em>³

Subtract this from the numerator to get a remainder of

(3<em>x</em>⁴ - 8<em>x</em>³ - <em>x</em>² + 9<em>x</em> + 5) - (3<em>x</em>⁴ - 6<em>x</em>³) = -2<em>x</em>³ - <em>x</em>² + 9<em>x</em> + 5

-2<em>x</em>³ = -2<em>x</em>² • <em>x</em>, and

-2<em>x</em>² (<em>x</em> - 2) = -2<em>x</em>³ + 4<em>x</em>²

Subtract this from the previous remainder to get a new remainder of

(-2<em>x</em>³ - <em>x</em>² + 9<em>x</em> + 5) - (-2<em>x</em>³ + 4<em>x</em>²) = -5<em>x</em>² + 9<em>x</em> + 5

-5<em>x</em>² = -5<em>x</em> • <em>x</em>, and

-5<em>x</em> (<em>x</em> - 2) = -5<em>x</em>² + 10<em>x</em>

Subtract this from the last remainder to get a new one of

(-5<em>x</em>² + 9<em>x</em> + 5) - (-5<em>x</em>² + 10<em>x</em>) = -<em>x</em> + 5

-<em>x</em> = -1 • <em>x</em>, and

-1 (<em>x</em> - 2) = -<em>x</em> + 2

This gives a new remainder of

(-<em>x</em> + 5) - (-<em>x</em> + 2) = 3

3 does not divide <em>x</em>, so we're done.

So, we have

(3<em>x</em>⁴ - 8<em>x</em>³ - <em>x</em>² + 9<em>x</em> + 5) / (<em>x</em> - 2) = 3<em>x</em>³ - 2<em>x</em>² - 5<em>x</em> - 1 + 3/(<em>x</em> - 2)

7 0
3 years ago
Approximately how many times bigger was the 1908 siberian asteroid than the diameter of the chelyabinsk asteroid
elena-14-01-66 [18.8K]

1908 Siberian Asteroid is known to be 130 feet/ 18 meters in diameter while on the other hand Chelyabinsk Asteroid is known to be 59 feet/40 meters in diameter. To find how many times Siberian Asteroid is bigger than Chelyabinsk Asteroid we just have to divide Siberian by Chelyabinsk here we get:

10/59=2.2 = 1908 Siberian Asteroid is 2.2 times bigger than Chelyabinsk Asteroid.

 

4 0
3 years ago
The scale drawing at right shows the first slope of a house, the actual dimensions of the garage are 20 feet by 25 feet. All ang
ad-work [718]

Answer:

  • See below

Step-by-step explanation:

A)

<u>According to dimensions of the garage, the scale is:</u>

  • 1 in : 20 ft, as the width of the garage is 20 ft and on paper is 1 in

B)

Living room

<u>Dimensions on paper: </u>

  • 2 in x 1 1/4 in

C)

<u>Actual dimensions: </u>

  • 2*20 ft = 40 ft and
  • 1 1/4 * 20 ft = 25 ft

D)

<u>The area of the living room:</u>

  • A = lw = 25*40 = 1000 ft²

<u>Cost of carpet:</u>

  • 1000*$1.25 = $1250
4 0
2 years ago
Read 2 more answers
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