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jolli1 [7]
3 years ago
12

Simplify the trigonometric expression. Show your work. 1/1+sin theta + 1/1-sin theta

Mathematics
1 answer:
Contact [7]3 years ago
8 0
Hello,

\dfrac{1}{1+sin(\theta)} + \dfrac{1}{1-sin(\theta)} \\\\
 \dfrac{1-sin(\theta) + 1+sin(\theta)} {1-sin^2(\theta) }}\\\\
= \dfrac{2} {cos^2(\theta)} 

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Adjust the equation so the line passes through the points. Y=x+1
lapo4ka [179]

Answer:

Slope=  

2.000

2.000

​  

=1.000

x−intercept=  

−1

1

​  

=−1.00000

y−intercept=  

1

1

​  

=1.00000

Step-by-step explanation:

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    y-(x+1)=0  

STEP

1

:

Equation of a Straight Line

1.1     Solve   y-x-1  = 0

Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).

"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.

In this formula :

y tells us how far up the line goes

x tells us how far along

m is the Slope or Gradient i.e. how steep the line is

b is the Y-intercept i.e. where the line crosses the Y axis

The X and Y intercepts and the Slope are called the line properties. We shall now graph the line  y-x-1  = 0 and calculate its properties

Graph of a Straight Line :

 

 

Calculate the Y-Intercept :

Notice that when x = 0 the value of y is 1/1 so this line "cuts" the y axis at y= 1.00000

 y-intercept = 1/1  =  1.00000  

Calculate the X-Intercept :

When y = 0 the value of x is 1/-1 Our line therefore "cuts" the x axis at x=-1.00000

 x-intercept = 1/-1  = -1.00000  

Calculate the Slope :

Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is 1.000 and for x=2.000, the value of y is 3.000. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of 3.000 - 1.000 = 2.000 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)

   Slope     =  2.000/2.000 =  1.000  

Geometric figure: Straight Line

1.  Slope = 2.000/2.000 = 1.000

2. x-intercept = 1/-1 = -1.00000

3.  y-intercept = 1/1 = 1.00000

3 0
3 years ago
The perimeter of the triangle shown is 412 meters. Find the length of each side.
Fudgin [204]

Answer:

x meters= 35

5x meters= 175

6x - 8 = 202

Step-by-step explanation:

x + 5x + (6x - 8)= 412

12x - 8= 412

12x = 412 + 8

12x = 420

x= 35

5x = 35× 5

= 175

6x - 8= 6(35) - 8

= 210 - 8

= 202

7 0
2 years ago
I will give brainliest answer for someone to answer this and no links just an answer
mojhsa [17]
288 cubic inches of flour
7 0
2 years ago
Read 2 more answers
Ƒ(x) = x − 9 if the domain is (3, -3, 0)
amid [387]

Answer:

f(3) = -6

f(-3) = -12

f(0) = -9

Step-by-step explanation:

Substitute each number for x.

f(3) = 3 - 9 = -6

f(-3) = -3 - 9 = -12

f(0 ) = 0 - 9 = -9

4 0
3 years ago
Read 2 more answers
In the game of​ roulette, a player can place a ​$8 bet on the number 17 and have a StartFraction 1 Over 38 EndFraction probabili
svp [43]

Answer:

Expected value of the game: -$0.421

Expected loss in 1000 games: $421

Step-by-step explanation:

There are two possible outcomes for the event:

- There is a 1 in 38 chance of winning $280

- There is a 37 in 38 chance of losing $8

The expected value for a single game is:

E(X) = \frac{1}{38}*\$280-\frac{37}{38}*\$8\\E(X)=-\$0.421

The expected value of the game is -$0.421

In 1,000 plays, the expected loss is:

L = 1,000*-\$0.421\\L=-\$421

You would expect to lose $421.

3 0
3 years ago
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