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
Sloan [31]
3 years ago
7

Select all that apply. Solve for x , 0 < x < 360;

Mathematics
1 answer:
Vesna [10]3 years ago
8 0

Answer:

All options are correct

Step-by-step explanation:

1. Note that

\cos 2x=2\cos ^2x-1.

2. Substitute previous expression into the equation:

2\cos ^2x-1+\cos^2x=1,\\ \\3\cos^2x=2,\\ \\\cos^2x=\dfrac{2}{3},\\ \\\cos x=\pm\sqrt{\dfrac{2}{3}}.

3. If 0° < x < 360°, then

x=\arccos \left(\sqrt{\dfrac{2}{3}}\right)\approx 35^{\circ};;

x=180^{\circ}-35^{\circ}=145^{\circ};

x=180^{\circ}+35^{\circ}=215^{\circ};

x=360^{\circ}-35^{\circ}=325^{\circ}.

All options are true.

Or you can solve this equation graphically. Plot the graph of the function y=\cos2x+cos^2x that represents the left side of the equation and the graph of the function y=1 that represents the right side of the equation. their common points are solutions.

You might be interested in
What’s the answer???
Natali [406]
I think it’s 1/3 hope it helps
5 0
3 years ago
I need help with question 30 please! :)
Nataliya [291]

Answer:

B ∩ (A ∪ C)'

Step-by-step explanation:

It's the B part excluding A and C union. Hence,

(A ∪ C)' ∩ B

7 0
2 years ago
All of the following have the same value except _____.
Rzqust [24]

Answer:

tge first one

Step-by-step explanation:

have a great day

pls mark as brainliest

5 0
3 years ago
Read 2 more answers
I need these all written out on how they're done along with the answer please
taurus [48]
Well, these are quite simple really, especially 1,2,3 and 4. If you read the questions carefully, you can understand it well. You don’t need to know the answer, you just need to understand
8 0
3 years ago
I’m really confused. Please help 。゚(゚´ω`゚)゚。
svp [43]

Answer:

4

Step-by-step explanation:

I say its 4 and it is 4

5 0
2 years ago
Other questions:
  • A power line is to be constructed from a power station at point A to an island at point C, which is 1 mi directly out in the wat
    15·1 answer
  • Write the ratio of corresponding sides for the similar triangles and reduce the ratio to lowest terms.
    12·2 answers
  • A construction crew must build 4 miles of road in one week. On Monday, they build 12 mile of road. On Tuesday, they build 13 mil
    14·2 answers
  • which set of number could represent the length of the sides of a right triangle? A 9 11 14 B 15 18 21 C 7 24 25 D 8 9 10
    13·2 answers
  • Can you please answer?
    7·1 answer
  • If ab = c - d, which of the following is an expression for d in terms of a, b, and c?
    9·1 answer
  • Cindy has a picture that is 3 inches wide and 4 inches long. She wants to enlarge it so that it is 12 inches long how wide will
    11·2 answers
  • Jamie is 4 years younger than her brother. Five years from now, the sum of their ages will be 32. Find Jaime's present age
    10·2 answers
  • A rectangle has a height of 3n^2 and a width of 4n^2-5n-1.
    14·1 answer
  • Help me find the value of X in both of them
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!