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aniked [119]
3 years ago
13

Find all the solutions in the interval [0,2π) sin²x = 2-2cosX

Mathematics
1 answer:
Finger [1]3 years ago
5 0

Step-by-step explanation:

sin²x = 2 - 2cosx

1 - cos²x = 2 - 2cosx (because sin²x + cos²x = 1)

cos²x - 2cosx + 1 = 0

(cosx - 1)² = 0

cosx - 1 = 0

cosx = 1

Hence x = 0.

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Hi! can you please help me? please show your answer!
Sergio039 [100]

Answer:

1)  f=−8/7 2) z=−3/7

Step-by-step explanation:

1)-f+8=-8f

−f+8=−8f

Step 1: Add 8f to both sides.

−f+8+8f=−8f+8f

7f+8=0

Step 2: Subtract 8 from both sides.

7f+8−8=0−8

7f=−8

Step 3: Divide both sides by 7.

7f/7=−8/7

f=-8/7

2) 6z-5=-z-8

6z−5=−z−8

Step 1: Add z to both sides.

6z−5+z=−z−8+z

7z−5=−8

Step 2: Add 5 to both sides.

7z−5+5=−8+5

7z=−3

Step 3: Divide both sides by 7.

7z/7=−3/7

3 0
3 years ago
He fastest that a seahorse can travel is 2,640 feet per hour. What is its top speed in miles per hour?
Slav-nsk [51]

Answer:

Step-by-step explanation:

You get 2640 and double it which is 5280 and then do 2640/5280 which is 0.5, that is the amount of miles in 2640 feet. So the answer is 0.5 mph which is C

6 0
3 years ago
Solve for j.<br> j/-2+7=-12<br> j=
tangare [24]
J/-2 + 7 = -12 multiply both sides with 2

-j + 14 = -24 move -14 to the other side and change sign

-j= -24 - 14
-j = -38 and if you divide -38 with -1 you get + 38
j=38




4 0
3 years ago
If x+1 divided by x = 6 then x =
aalyn [17]

Answer:

7/6= 1 1/6

Step-by-step explanation:

6+1/6= 7/6= 1 1/6

5 0
3 years ago
The back of a dog house is composed of a square and a triangle . How much wood wood is needed for the back of the dog house to t
Anastaziya [24]

Answer:

68

Step-by-step explanation:

I just know I was in class with my teacher

8 0
3 years ago
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