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xenn [34]
3 years ago
9

Solve for x, 0 ≤ x ≤2π (2cosx-1)(2sinx+√3 ) = 0

Mathematics
1 answer:
vladimir1956 [14]3 years ago
5 0

Answer:

x = π/3, x = 5π/3, x = 4π/3

Step-by-step explanation:

Let's split the given equation (2cosx-1)(2sinx+√3 ) = 0 into two parts, and solve each separately. These parts would be 2cos(x) - 1 = 0, and 2sin(x) + √3  = 0.

2\cos \left(x\right)-1=0,\\2\cos \left(x\right)=1,\\\cos \left(x\right)=\frac{1}{2}

Remember that the general solutions for cos(x) = 1/2 are x = π/3 + 2πn and x = 5π/3 + 2πn. In this case we are given the interval 0 ≤ x ≤2π, and therefore x = π/3, and x = 5π/3.

Similarly:

\:2\sin \left(x\right)+\sqrt{3}=0,\\2\sin \left(x\right)=-\sqrt{3},\\\sin \left(x\right)=-\frac{\sqrt{3}}{2}

The general solutions for sin(x) = - √3/2 are x = 4π/3 + 2πn and x = 5π/3 + 2πn. Therefore x = 4π/3 and x = 5π/3 in this case.

So we have x = π/3, x = 5π/3, and x = 4π/3 as our solutions.

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1..) 2x +15 = 35 
Masja [62]

Answer:

1) x=10

2) x=3

Step-by-step explanation:

1)

2x+15=35

Subtract 15 from both sides

2x=20

Divide both sides by 2

x=10

2(10)+15=35

20+15=35

35=35

this shows that 10 is the right answer

2)

7x-3=18

Add 3 to both sides

7x=21

Divide both sides by 7

x=3

7(3)-3=18

21-3=18

18=18

this shows that 3 is the right answer

Hope this helps

3 0
3 years ago
What is the larger unit for 377 When You count from 368 to 500
Gre4nikov [31]

Answer:

500 - 368 = 132This means that to reach 500 from 368, you will need to count 132 ones.132 can be written in several ways including:132 = 100 + 32132 = 100 + 30 + 2For the first one:the count will be 1 one hundred and 32 units to reach 500 from 368For the second one:the count will be one hundred, 30 tens and 2 ones to reach 500 from 368

Read more on Brainly.com - brainly.com/question/725998#readmore

Step-by-step explanation:

8 0
3 years ago
12.
Sveta_85 [38]

Answer:

The answer is d because 10-3 is 7

7 0
3 years ago
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A jet is flying in a direction N 70° E with a speed of 600 mi/h. Find the north and east components of the velocity. Round to tw
leonid [27]

Answer:

the answer is 0.30

Step-by-step explanation:

600/20=30

two decimal place=0.30

5 0
2 years ago
What is the volume of the cube if the side length is 40cm​
swat32

Answer:

The formula to find the volume of a cube : s^3 so

S=40 cm

Now

by the formula,

40^3

64000

7 0
2 years ago
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