1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Yanka [14]
3 years ago
11

Find the general solution and find the specific solutions over the interval [0,4pi]

Mathematics
1 answer:
Natasha2012 [34]3 years ago
5 0

Answer:

Isolate the angle 2x, by following the reverse "order of operations".

Step-by-step explanation:

Explanation:

Step 1: Add 1 to both sides:

2

cos

2

(

2

x

)

=

1

Step 2: Divide both sides by 2:

cos

2

(

2

x

)

=

1

2

Step 3: Take the square root of both sides:

cos

(

2

x

)

=

√

2

2

or

cos

(

2

x

)

=

−

√

2

2

(don't forget the positive and negative solutions!)

Step 4: Use inverse of cosine to find the angles:

2

x

=

cos

−

1

(

√

2

2

)

or

2

x

=

cos

−

1

(

−

√

2

2

)

Step 5: Find angles that work:

2

x

=

π

4

or

2

x

=

7

π

4

or

2

x

=

3

π

4

or

2

x

=

5

π

4

Step 6: Solve for x:

x

=

π

8

,

7

π

8

,

3

π

8

,

5

π

8

or .785, 5.5, 2.36, 3.93

(decimal approximations are seen on the graph below)

You might be interested in
14. -9(2.7 -1.55) + 33<br> what is the answer
Andreas93 [3]

Answer:

25.15

Step-by-step explanation:

2.7 - 1.55= 1.15 + 33= 34.15 - 9= 25.15

8 0
3 years ago
Marcus needs 108 inches of wood to make a frame. How many feet of wood does Marcus need for the frame?
ludmilkaskok [199]
9 inches, divide 108 by 12, because 12 inches makes a foot
3 0
3 years ago
Look at the figure, DFGME. Find the length of EM.
suter [353]
EM is 20 my friend aloha
5 0
3 years ago
Read 2 more answers
Multiply: (6x - 1)(6x +1)
Salsk061 [2.6K]
I’m not positive but i think it’s 36x^2 -1
4 0
3 years ago
Read 2 more answers
Select three ratios that are equivalent to<br> 4:3<br><br> Choose 3 answers:
VARVARA [1.3K]

Answer: 8:6, 12:9, and 16:12

6 0
3 years ago
Read 2 more answers
Other questions:
  • Solve the system of equations. X + y = -4 and y= -x + 5
    7·1 answer
  • Can someone please help me out
    5·1 answer
  • I don’t understand why is it “not possible”.
    10·1 answer
  • What is the solution to this equation?
    12·2 answers
  • Slope = 1/6; (-12,-2)
    11·1 answer
  • Brain ate 5 pieces of pie. The pie was cut into 6 equal pieces
    14·2 answers
  • A football team lost 5 yards on one play and gained 12 yards on the next play. Find the overall change in field position.
    6·1 answer
  • Melanie worked last weekend at her part-time jobs. She
    7·1 answer
  • What is the difference between the inequality x ≤ 5 and the equation x = 5
    15·1 answer
  • 5) What is the result of subtracting (x2 + 3x)from the polynomial (-2x2 + 4x + 5)?​
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!