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
Andrews [41]
3 years ago
7

2cos^2x = 1 Solve for 0-360 degrees

Mathematics
2 answers:
stich3 [128]3 years ago
7 0

Answer:

45°, 135°, 225°, 315°

Step-by-step explanation:

2cos²x = 1

cos²x = ½

cosx = +/- 1/sqrt(2)

Basic angle: 45

Since cos has both, positive and negative values, we'll consider all 4 quadrants

45,

180 - 45 = 135

180 + 45 = 225

360 - 45 = 315

Tems11 [23]3 years ago
5 0

Answer:

45,135,315,225

Step-by-step explanation:

2cos^2x = 1

Divide each side by 2

cos^2x = 1/2

Take the square root of each side

sqrt( cos^2 x) = ±sqrt (1/2)

cos x  =±sqrt (1/2)

Make into two separate equations

cos x  =sqrt (1/2)    cos x = - sqrt(1/2)

Take the inverse cos of each side

cos ^-1 cos (x) = cos ^-1 (sqrt (1/2))   cos ^-1 cos (x) = cos ^-1 (-sqrt (1/2))

x = cos ^-1 (sqrt (1/2))   x = cos ^-1 (-sqrt (1/2))

x = 45  +360 n              x = 135+ 360n

x = 315+360 n               x =225+360n

Between 0 and 360

45,135,315,225

You might be interested in
Please help I'll give brainliest to the correct person
elena55 [62]

Answer:

the first one because supplementary means angles which add up to 180 and 180 degrees is a straight line and the third one because they both share the same vertex and side

Step-by-step explanation:

8 0
3 years ago
If a triangle is a right triangle, then the triangle has 90 angle.
Sloan [31]

Answer:

True

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Adonis created a rectangular play area for his dog in his backyard. The length of the long side was 10ft and the length of the s
Drupady [299]

Answer:

The perimeter of the dog's play area is 30 ft

Step-by-step explanation:

Rectangle:

  • The opposite sides are congruent.
  • The opposite angles are congruent.
  • The sum of all four angles of a rectangle is 360°.
  • The sum of two adjacent angles of a rectangle is 180°.
  • The diagonals bisect each other.
  • The perimeter of a rectangle is = 2(Length+width)
  • The area of a rectangle is = Length × width

Given that,

The length of the long side of the dog's play area was = 10 ft.

So, Length of dog's play area is = 10 ft.

The length of the short side of the dog's play area was = 5 ft.

So, width of dog's play area is = 5 ft.

It is a rectangular plot.

So, the perimeter of the dog's play area is =2(Length+width)

                                                                      =2(10+5) ft

                                                                      =2(15) ft

                                                                      =30 ft

5 0
3 years ago
The temperature at 12:00 p.m. was 8°C. At 7:00 p.m., the temperature was -6°C. What was the change in temperature (in degrees Ce
Alik [6]

Answer: 14-degree decrease

Step-by-step explanation:

because it is getting colder and we know this because anytime temperature goes from positive to negative it becomes mad cold.

Anyways subtracting 14 from our initial temp at 8 degrees celsius brings us to a brisk -6 celsius

5 0
3 years ago
What to do when forget the pasword to the account?
kaheart [24]

Answer:

usually at the login screen it gives you an option to reset your password if you forgot, it will appear in blue as "forgot password?" or "trouble logging in?"

5 0
1 year ago
Other questions:
  • Pls help will mark brainliest
    15·1 answer
  • Find the percent increase from 8 to 18
    5·2 answers
  • Please answer this question now
    13·2 answers
  • Two stores have movies to rent
    13·2 answers
  • Which expression is equivalent to ^3√216x^27? 6x3 6x9 72x3 72x9
    14·2 answers
  • The wheels on Kevin’s bike have a diameter of about 3 feet. How far does the bike travel in 12 complete rotations? (Use 3.14 to
    14·2 answers
  • NEED HELP ASAP! WILL CRY OR SOMETHING
    6·1 answer
  • a skydiver jumps out from the plane at 10,000 feet above the ground. the skydiver decends at a rate of 175 feet per seconds. how
    12·2 answers
  • Quick does anyone know this please give me the right answer ( this is due in 20 minutes)
    15·2 answers
  • Given right triangle def, what is the value of sin(e)? three-fifths three-fourths four-fifths four-thirds
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!