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
valkas [14]
2 years ago
14

Question 2 2.1 2.2 2.2.1 2.2.2 Determine the general solution for sin(x - 30°) = cos 2x Consider the functions f(x) = sin(x-30°)

and g(x) = cos 2x Write down the period of g. State the range of f.​
Mathematics
1 answer:
OLEGan [10]2 years ago
5 0

The general solution for the given equation is 40°+120°n.

The period of g(x) is π.

The range of f(x) is [-1, 1].

  • sin(x-30°) = cos 2x
  • sin(x-30°) = sin(90°-2x)
  • (x-30°) = (90°-2x) + 360°n
  • x + 2x =  90° + 30° + 360°n
  • 3x = 120° + 360°n
  • x = (120° + 360°n)/3
  • The general solution (x) is 40° + 120°n.
  • g(x) = cos 2x
  • The period of cos x is 2π.
  • If the multiplying factor of x is 'n', then it decreases the period by n times.
  • Here, in g(x), n is 2.
  • The period of g(x) is equal to half the period of cos x.
  • The period of g(x) = 2π/2
  • The period of g(x) is π.
  • f(x) = sin(x-30°)
  • "Sin" is a trigonometric function which has a range from -1 to 1.

To learn more about  period, visit :

brainly.com/question/12539110

#SPJ9

You might be interested in
In Wellington, a city of 360,000 citizens, there has been an outbreak of vampires and werewolves There are 3,000 people infected
Alex17521 [72]

Answer:

0.0286 or 2.86%

Step-by-step explanation:

The total number of people that have werewolfism is 21,000.

Of those 21,000, 600 also have vampirism, while the remaining 20,400 do not. Therefore, the probability that someone has vampirism, given that they have werewolfism is:

P(V|W)=\frac{N_{V\cap W}}{N_W}\\P(V|W)=\frac{600}{21,000} \\P(V|W)=0.0286=2.86\%

The probability is 0.0286 or 2.86%.

3 0
3 years ago
How many eighths are in 5 5/8? use your answer to rewrite 5 5/8 in the form /8
HACTEHA [7]
There are 45 eigths in 5 5/8 because 5*8 + 5 = 45
therefore 5 5/8 = 45/8
7 0
3 years ago
Read 2 more answers
Ron’s class donated d dollars to a local charity. danny’s class donated 21% more than ron’s class. which expression shows the am
Olin [163]
Ron’s class donated d dollars to a local charity.
=> Let's use d as an expression of the donation of Ron's class.
Danny’s class donated 21% more than ron’s class.
Let's show this into expression 
Expression:
=> 21% / 100% = 0.21
Danny's Class donation=> d + d(.21), where d is the amount of the donation of Ron's class and 0.21 is the 21% of Danny's class


7 0
4 years ago
How many days did carol work at the restaurants during the 28 day period ?
Anarel [89]

\bf \underset{\frac{1}{4}\textit{ of 28}}{\stackrel{\textit{at the Bookstore}}{\cfrac{1}{4}(28)}}\implies \cfrac{28}{4}\implies 7~\hfill \underset{\frac{1}{14}\textit{ of 28}}{\stackrel{\textit{did not work}}{\cfrac{1}{14}(28)}}\implies \cfrac{28}{14}\implies 2 \\\\\\ \stackrel{\textit{remaining days}}{28 - 7 - 2}\implies 28-9\implies \stackrel{\textit{at the Restaurant}}{19}

6 0
3 years ago
For a particular cargo train, the amount of fuel needed for a trip varies directly with the number of miles traveled. If the tra
Mashutka [201]
1) 2,250
300*7.5=2250
2) 495
55*9= 495

8 0
3 years ago
Read 2 more answers
Other questions:
  • What value does each equation need to be multiplied by in order to eliminate the x terms equation 1 6x-5y=-4 equation 2 4x+2y=28
    5·2 answers
  • Apply the definition of subtraction and properties of operations to find the result. 1/8-3/7-1/8
    11·1 answer
  • What are the points of discontinuity for y= (x+1)/(x^(2)-4)
    14·1 answer
  • Nico spent eight dollars and seventy-five cents on lunch which to items did nico buy Hamburger $4.20. Chef salad $4.50. Tune san
    14·2 answers
  • Coach King is holding a free-throw shooting contest for some students in his PE class. The students participating in the contest
    6·2 answers
  • Can someone please help me with this
    14·2 answers
  • Mr. Strand mowed 2 5 of his lawn. His son mowed 1 3 of it. Who mowed most of the lawn? How much of the lawn still needs to be mo
    13·1 answer
  • A rectangle has sides with lengths (x+5) and (x+6) . Find the perimeter
    7·1 answer
  • Look at all three circles below. All circles have the same pattern. What number should replace the question mark?
    6·1 answer
  • Find the slope and y-intercept of the line shown below.
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!