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
PtichkaEL [24]
3 years ago
9

Given: sin(18m-12)=cos(7m+2), find the value of m.

Mathematics
1 answer:
V125BC [204]3 years ago
3 0

Answer:

m = -2/7 + π/14 + (π n_1)/7 for n_1 element Z

or m = 2/3 - (π n_2)/18 for n_2 element Z

Step-by-step explanation:

Solve for m:

-cos(7 m + 2) sin(12 - 18 m) = 0

Multiply both sides by -1:

cos(7 m + 2) sin(12 - 18 m) = 0

Split into two equations:

cos(7 m + 2) = 0 or sin(12 - 18 m) = 0

Take the inverse cosine of both sides:

7 m + 2 = π n_1 + π/2 for n_1 element Z

or sin(12 - 18 m) = 0

Subtract 2 from both sides:

7 m = -2 + π/2 + π n_1 for n_1 element Z

or sin(12 - 18 m) = 0

Divide both sides by 7:

m = -2/7 + π/14 + (π n_1)/7 for n_1 element Z

or sin(12 - 18 m) = 0

Take the inverse sine of both sides:

m = -2/7 + π/14 + (π n_1)/7 for n_1 element Z

or 12 - 18 m = π n_2 for n_2 element Z

Subtract 12 from both sides:

m = -2/7 + π/14 + (π n_1)/7 for n_1 element Z

or -18 m = π n_2 - 12 for n_2 element Z

Divide both sides by -18:

Answer: m = -2/7 + π/14 + (π n_1)/7 for n_1 element Z

or m = 2/3 - (π n_2)/18 for n_2 element Z

You might be interested in
Each month for 5 months, sophie makes 2 quilts. how many more quilts does she need to make before she has made 16 quilts?
Zigmanuir [339]
6 quilts are needed
5 0
3 years ago
Read 2 more answers
12. Find the values of x, y, and z.<br> (1 point)
Anuta_ua [19.1K]

Answer:

b. x = 80, y = 100, z = 63

Step-by-step explanation:

3 0
2 years ago
Jelaskan ciri-ciri lingkungan bersih tolong di jawab yaah ​
rusak2 [61]

Answer:

huh hi what is the question?????

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Use the substitution method to solve the system of equations 8x5y=9 y=x+7
Greeley [361]

Answer:

( − 7.00006693 , − 0.00006693 )    ( 0.68099975 , 7.68099975 )

Step-by-step explanation:

3 0
3 years ago
You don’t have to explain this just tell me the tight answer
Ira Lisetskai [31]

Answer:

The triangles are similar by the AA similarity postulate

Step-by-step explanation:

The only thing we know is that the three angles are the same

70+30 +80 = 180 so the missing angle in each triangle is  80  in the first and 70 in the second

The triangles are similar by the AA similarity postulate

3 0
3 years ago
Other questions:
  • If you make 25 minutes of long distance calls per month,what will it cost
    15·1 answer
  • Put the following equation of a line into slope-intercept form, reducing all fractions. 6x+2y=8
    12·1 answer
  • Find T​, N​, and kappa for the plane curve Bold r left parenthesis t right parenthesis equalsleft parenthesis 7 Bold cos t plus
    11·1 answer
  • Please answer!! I’ll mark Brainiest!! Anika is on the crew to set up rides for the state fair. The crew does most of the setup o
    9·1 answer
  • Margo missed 24.6% of the free throw shots in a season. During the season she took a total of 90 free throw shots. Which of the
    14·1 answer
  • What is repating and terminating
    5·1 answer
  • Drusilla replaces the light bulb in the hall closet every 9 months and replaces the air filter every 6 months will she replace b
    6·1 answer
  • Use the limit definition of the derivative to find the instantaneous rate of change of
    15·1 answer
  • Y=5(x+4)(x-3)<br><br> PLEASE HELP ASAP
    10·1 answer
  • Solve for the value of x. Round to the nearest tenth.
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!