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
olga2289 [7]
1 year ago
9

Please help, performance task: trigonometric identities

Mathematics
1 answer:
AnnZ [28]1 year ago
4 0

The solutions to 1 - cos(x) = 2 - 2sin²(x) from (-π, π) are (-π/3, 0.5) and (π/3, 0.5)

<h3>How to solve the trigonometric equations?</h3>

<u>Equation 1: 1 - cos(x) = 2 - 2sin²(x) from (-π, π)</u>

The equation can be split as follows:

y = 1 - cos(x)

y = 2 - 2sin²(x)

Next, we plot the graph of the above equations (see graph 1)

Under the domain interval (-π, π), the curves of the equations intersect at:

(-π/3, 0.5) and (π/3, 0.5)

Hence, the solutions to 1 - cos(x) = 2 - 2sin²(x) from (-π, π) are (-π/3, 0.5) and (π/3, 0.5)

<u>Equation 2: 4cos⁴(x) - 5cos²(x) + 1 = 0 from [0, 2π)</u>

The equation can be split as follows:

y = 4cos⁴(x) - 5cos²(x) + 1

y = o

Next, we plot the graph of the above equations (see graph 2)

Under the domain interval [0, 2π), the curves of the equations intersect at:

(π/3, 0), (2π/3, 0), (π, 0), (4π/3, 0) and (5π/3, 0)

Hence, the solutions to 4cos⁴(x) - 5cos²(x) + 1 = 0 from [0, 2π) are (π/3, 0), (2π/3, 0), (π, 0), (4π/3, 0) and (5π/3, 0)

Read more about trigonometry equations at:

brainly.com/question/8120556

#SPJ1

You might be interested in
In the figure below determine the midpoints
Digiron [165]
Midpoints are points in the middle, so I believe they are Midpoints: D, F and E
3 0
2 years ago
A car travels the first 50km of its journey at an average speed of 25m/s snd the next 120km at an average speed of 80km/h. The c
Alex17521 [72]

Answer:

84,6km/h

Step-by-step explanation:

the whole journey was

in the first part the car travels 50km, in the second part 120km and in the third part we can find it with a simple rule of three

90km--->60 min

X<--------35min= 52.5 km the car made in the last part

50km+120km+52,5km=222.5km was all the journey

and he made it in:

  • the last part in 35min,
  • in the second part we know that the car was going at 80km/h and that he made 120km so:

80km--->60 min

120km--->90 min

  • in the first part we know that the car was going at 25m/s and he made 50km. 25m/s*1km/1000m*3600s/1h= we obtain the speed in km/h=90km/h

90km---->60min

50km---->x=33,333 min

The whole journey last 33,333min+90min+35min=158.333min

if we express that in hour = 158.333min*1hr/60min=2.63

the car made 222.5km in 2.63 hour

so the average speed was

222.5---->2.63hr

X--------1hr=84,6

the average speed was 84,6km/h

5 0
3 years ago
Please Answer
Lapatulllka [165]

Answer:

Part A: C. 4 to 1

Part B: 2

Step-by-step explanation:

<h3>Part A: </h3>

What is the ratio of the number of students receiving a C and the number of students receiving an A?

<u>As per table given:</u>

  • 12 students received a C and 3 students received a A

The ratio C/A is:

  • 12/3 = 4/1

The correct answer choice is:

  • C. 4 to 1
<h3>Part B: </h3>

Complete the statement:

For every student receiving a D, ______ students received a B.

<u>As per table given:</u>

  • 4 students received a D and 8 students received a B

<u>The ratio D/B is:</u>

  • 4/8 = 1/2

<u>The statement is:</u>

  • For every student receiving a D, 2 students received a B.
7 0
2 years ago
After visiting the Titanic, Captain Brain and Mr. Pinky are taking the Alvin submarine back to the surface of the water. They st
ivanzaharov [21]

Answer:

m=37h-1500.

Step-by-step explanation:

Let m represent meters and h represent hours.

We have been given that Captain Brain and Mr. Pinky start 1500 meters below the surface of the water and ascend at 37 meters per hour.

Since the submarine ascends at a rate of 37 meters per hour, so elevation of submarine after h hours would be 37h.

Since the elevation under water surface is negative, so 1500 meters below the surface of water would be -1500.    

The final elevation in meters of submarine after h hours would be initial elevation plus change in elevation after h hours that is m=37h-1500.

Therefore, the equation m=37h-1500. represents the given scenario.

8 0
3 years ago
Explain the full answer
Vilka [71]
Rememer you can do anything to an equaiton as long as you do it to both sides

and the erased answer is correct


10=-6.5+n
add 6.5 both sides
10+6.5=6.5-6.5+n
16.5=0+n
16.5=n
3 0
3 years ago
Other questions:
  • What is the area of a regular polygon with 100 sides and a perimeter of 100 units?
    13·1 answer
  • Divide 7⁄15 by 3⁄5 .
    7·2 answers
  • Why did the scientist create an exact duplicate of himself
    12·1 answer
  • Graph the six terms of a finite sequence where a1= -10 and d=3
    14·1 answer
  • Write an equation of the line that passes through the points (1,-4) and (2,-1).
    12·1 answer
  • Math ... answer meeee
    14·2 answers
  • HURRY I'LL PICK A BRAINLIEST PERSON!!!
    7·2 answers
  • A triangle has one angle measure of 55 degrees and a second angle measuring 53 degrees. What is the third missing angle measure?
    10·2 answers
  • A mom mixes 9 ounces of juice with 3 ounces of water.What percent of the drink is juice .
    13·2 answers
  • A line that includes the point (7,0) has a slope of 1. What is its equation in slope-intercept form?
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!