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eduard
2 years ago
13

Prove that 1/1+sinA -1/1+sinA =2tanAsinA​

Mathematics
1 answer:
enyata [817]2 years ago
3 0

Step-by-step explanation:

\frac{1}{1 +  \sin( \alpha ) }  \frac{1}{1 -  \sin( \alpha ) }  \\  \frac{1 -  \sin( \alpha ) + 1 +  \sin( \alpha )  }{(1 +  \sin( \alpha ))(1 -  \sin( \alpha ))  }  \\  =  \frac{2}{1 -  {sin}^{2} \alpha }  \\  \frac{2}{ {cos}^{2} \alpha  } = 2  \:  {sec}^{2}  \alpha

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Evaluate each expression |18|
igor_vitrenko [27]
That equals 18 since the distance from zero is 18.


Hope i'm the brainliest!
4 0
4 years ago
On an uphill hike, Ted climbs at a rate of 3 miles an hour. Going down, he runs at a rate of 5 miles an hour. If it takes him 40
telo118 [61]

It takes 40 minutes more going up or 40/60 = 0.67 hours more.

Let us say that:

t = the time required for him running down

t + 0.67 = time required for him running up

 

Since the distance of running up and down must be equal therefore:

(3 miles / hr) * (t + 0.67) = (5 miles / h) * t

3 t + 2.01 = 5 t

2 t = 2.01

t = 1.005 hr

 

So the total length of the hike is:

length = 2 * (5 miles / hr) * (1.005 hr)

<span>length = 10.05 miles</span>

3 0
3 years ago
Read 2 more answers
The figure, polygon ABCD is dilated by a factor of 2 to produce A B C D with the origin as the center of dilation
cestrela7 [59]

In the polygon ABCD, the production of point A' and point D' is (-2,-2)  and (4,-2) respectively.

<h3>What is the transformation rule?</h3>

In coordinate planes, the rule of transformation involves interchanging the x and y values on the plane such that:

\mathbf{(x,y) \to  (k_x, k_y)}

where;

  • k = scale factor

From the given information:

  • The scale factor = 2
  • the origin as a center of dilation for image vertices = (0, 0)

Now, using the coordinate vertices:

  • A = (-1, -1)
  • D = (2, -1)

The corresponding coordinate of the image vertices is as follows:

A(-1,-1) → A'(2 × (-1), 2 × (-1))

A' = (-2,-2)

D(2,-1) → A'(2 × (2), 2 × (-1))

D' = (4,-2)

Learn more about the transformation rule in coordinate planes here:

brainly.com/question/4251601

#SPJ1

7 0
2 years ago
Sum of 2 numbers is 42, and their difference is 8. What are the numbers?​
Tems11 [23]

Answer:

25 , 17

Step-by-step explanation:

Let the unknown two numbers be x & y.

According to the question,

Sum of 2 numbers is 42.

x + y = 42  ⇒ ( 1 )

Their difference is 8.

x - y = 8 ⇒ ( 2 )

First let us find the value of x.

( 1 ) + ( 2 )

x + y + x - y = 42 + 8

2x = 50

Divide both sides by 2.

x = 25

And now let us find the value of y.

x + y = 42

25 + y = 42

y = 42 - 25

y = 17

Therefore, the two numbers are 25 , 17

Hope this helps you :-)

Let me know if you have any other questions :-)

8 0
3 years ago
Read 2 more answers
Question: The hypotenuse of a right triangle has a length of 14 units and a side that is 9 units long. Which equation can be use
kramer

Answer:

The hypotenuse is the longest side in a triangle.

a^2=b^2+c^2.

14^2=9^2+c^2.

c^2=196-81.

c^2=115.

c=√115.

c=10.72~11cm

5 0
3 years ago
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