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
Gemiola [76]
3 years ago
7

use the power-reducing formulas to rewrite the expression in terms of the first power of the cosine . . sin^6 x

Mathematics
1 answer:
andrey2020 [161]3 years ago
4 0
<span>1/128 (3 - 4 Cos[4 x] + Cos[8 x])</span>( sin^2(x) )^2 cos^4(x) 

<span>( (1 - cos^2(x) )^2 cos^4(x) </span>

<span>(1 - 2cos^2(x) + cos^4(x) ) cos^4(x) </span>

<span>cos^4(x) - 2cos^6(x) + cos^8(x) </span>

<span>( cos^2(x) )^2 - 2( cos^2(x) )^3 + ( cos^2(x) )^4 <==> knowing the identity; cos^2(x) = (1/2) * (1 + cos(2x)) </span>

<span>( (1/2) * (1 + cos(2x)) )^2 - 2( (1/2) * (1 + cos(2x)) )^3 + ( (1/2) * (1 + cos(2x)) )^4 </span>

( (1/4) * (1 + 2cos(2x) + cos^2(2x) )) - 2( (1/8) * (cos^3(2x) + 3cos^2(2x) + 3cos(2x) + 1) + ( (1/16) * cos^4(2x) + 4cos^3(2x) + 6cos^2(2x) + 4cos(2x) + 1) 
You might be interested in
Given that triangle abc ~ def, solve for x <br><br> A.6<br><br> B.3 <br><br> C.2<br><br> D.4
kipiarov [429]

ABC and DEF are similar

so

AB/AC = DE/DF


30/24 = 5/x

30x = 24 * 5

30x = 120

x = 4


Answer

x = 4

6 0
2 years ago
Read 2 more answers
Algebra public opinion polls reported in newspapers are usually given with a margin of error. for example, a poll with a margin
sweet-ann [11.9K]

Answer:

Minimum percent of the vote that candidate Towne is expected to recieve:

m=51% - 6.3% * 51% =47.787%

Maximum percent of the vote that candidate Towne is expected to recieve:

M=51% + 6.3% * 51% = 54.213%

Solution:

Margin of error: E=6.3%

Minimum percent of the vote that candidate Towne is expected to recieve:

m=51% - E * 51%

m=51% - 6.3% * 51%

m=51% - 51% * 6.3 / 100

m=51% - 3.213%

m=47.787%

Maximum percent of the vote that candidate Towne is expected to recieve:

M=51% + E * 51%

M=51% + 6.3% * 51%

M=51% + 51% * 6.3 / 100

M=51% + 3.213%

M=54.213%


8 0
3 years ago
Solve the proportion: 12/16=9/48x
ivanzaharov [21]

Hey there

the answer is

x=4

thank you

    OFFICIALLYSAVAGE2003

5 0
3 years ago
Could you explain and answer the question?
podryga [215]

So F(6) means 6 on the x axis  then look to see where the graph is on the Y axis,

 in this case on x 6 y=4

7 0
3 years ago
Read 2 more answers
Someone helppppppppppppp
mihalych1998 [28]

Answer:

Answer is 18

Step-by-step explanation:

18x3=54

54+54=108

18+2=20

20+20=40

108+40=148

7 0
3 years ago
Read 2 more answers
Other questions:
  • Solve the linear system of equations using addition. Graph the equations to verify your solution.
    10·1 answer
  • the length of a rectangle is 8in. more than it’s width. the perimeter of the rectangle is 24in. what are the width and length of
    7·1 answer
  • Maisie has saved up $50 to buy concert tickets, but the tickets cost $125. She is able to earn $15 per day by walking her neighb
    12·2 answers
  • if the probability of picking a green marble from a bag of green and red marbles is 0.3. if i choose a marble 100 times and repl
    15·1 answer
  • In a class of 64 students, each students offers Physics or Math or both. If 50 students offers Math and the number of students w
    13·1 answer
  • An instructional video is 5.4 minutes long. How long is the video in seconds? How long is it in hours?
    7·1 answer
  • What is the slope of line a?<br> THIS IS A TEST AND MY GRADE IS ALR BAD ENOUGH PLS ANSWER CORRECTLY
    6·2 answers
  • In the evening, the shadow of an object is very long due to the low position of the Sun. A 20m height lamp
    10·1 answer
  • in order for an object to begin to move. stop moving, or change direction, which of the following must be present?​
    6·1 answer
  • Five times a number that has been decreased by 2 is equal to 55
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!