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
Taya2010 [7]
3 years ago
11

Show so that the expression of cos4A in term of SinA is 8Sin^4 - 8Sin^2A + 1​

Mathematics
1 answer:
Degger [83]3 years ago
5 0

Answer:

Step-by-step explanation:

L

H

S

=

cos

4

x

=

2

cos

2

(

2

x

)

−

1

=

2

(

cos

(

2

x

)

)

2

−

1

=

2

(

2

cos

2

x

−

1

)

2

−

1

=

2

(

4

cos

4

x

−

4

cos

2

x

+

1

)

−

1

=

8

cos

4

x

−

8

cos

2

x

+

2

−

1

=

8

cos

4

x

−

8

cos

2

x

+

1

=

R

H

S

Again

L

H

S

=

cos

4

x

=

2

cos

2

(

2

x

)

−

1

=

2

(

1

−

2

sin

2

x

)

)

2

−

1

=

2

(

1

−

4

sin

2

x

+

4

sin

4

x

)

−

1

=

2

−

8

sin

2

x

+

8

sin

4

x

−

1

=

8

sin

4

x

−

8

sin

2

x

+

1

=

R

H

S

sin

2

x

+

cos

2

x

=

1

cos

2

x

=

1

−

sin

2

x

substitute in the equation as follows

8

cos

4

x

−

8

cos

2

x

+

1

=

8

cos

2

x

(

cos

2

x

−

1

)

+

1

=

8

(

1

−

sin

2

x

)

(

1

−

sin

2

x

−

1

)

+

1

=

8

(

1

−

sin

2

x

)

(

−

sin

2

x

)

+

1

=

8

sin

4

x

−

8

sin

2

x

+

1

You might be interested in
Tyler is overdrawn at the bank by $180. His brother has $70 more than him. How much money does Tyler's brother have?
Lena [83]

Answer:

Tyler's brother has $250

Step-by-step explanation:

180+70 =250

8 0
2 years ago
Read 2 more answers
By visual inspection, determine the best-fitting regression model for the data
igor_vitrenko [27]

Answer:

it's quadratic

Step-by-step explanation:

sorry i answered late but i hope this helps other people

4 0
2 years ago
Find the value of x.<br> 76
azamat
This picture is depicting a straight line, therefore all we have to do is subtract 76 from 180. You get 104

Your answer is 104 degree
3 0
3 years ago
1. What is the system of inequalities associated with the following graph?
Cerrena [4.2K]
Correct hence this answer
7 0
1 year ago
A manufacturer of a new medication on the market for Parkinson's disease makes a claim that the medication is effective in 75% o
ale4655 [162]

Answer:

Claim is rejected

Step-by-step explanation:

Solution:-

- The claim was made on the effectiveness of medication on the market of Parkinson's disease to be p = 75%.

- A random sample was taken of N = 150 individuals and n = 100 number of people reported that it was effectively.

- We are to test the claim made by the manufacturer of the medication based on the statistics available for the sample N.

- State the hypothesis for the effectiveness of medication:

          Null Hypothesis: p = 0.75   ... Claim

          Alternate hypothesis: p < 0.75   .... Test

- The conditions of standard normality:

  • n*p > 5 , 150*0.75 = 112.5   .. ( Check )

  • n*(1-p) > 5 , 150*0.25 = 37.5  .. ( Check )

Hence, the standard normal test is applicable. Assuming the population proportion to be normally distributed.

- We will estimate the population proportion with the sample proportion ( p* ):

                          p* = n / N

                          p* = 100 / 150

                          p* = 2/3 = 0.667

- Testing against the claimed population proportion ( p ) = 0.75. The standard normal statistic value is given by:

                         Z-test= \frac{(p^* - p)}{\sqrt{p(1-p) / N} } \\\\Z-test= \frac{(0.6667 - 0.75)}{\sqrt{0.75(0.25) / 150} } \\\\Z-test= \frac{-0.0833}{\sqrt{0.00125} } \\\\Z-test= -2.35607 \\

- We will see whether the Z-test statistic falls in the rejection region defined by the critical value of Z at significance level ( α ) of 0.05.

- The rejection region is defined by the Alternate hypothesis which is less than the claimed value. So, the rejection region defined by the lower tail of the standard normal.

- So for lower tailed test the critical value of statistics is:

                       P ( Z < Z-critical ) = α = 0.05

                       Z-critical = - 1.645

- The rejected values all lie to the left of the Z-critical value -1.645          

- The claim test value is compared the rejection region:

                      -2.35607 < -1.645

                       Z-test < Z-critical

Hence, Null hypothesis rejected because test lies in the rejection region.

Conclusion:

The Null hypothesis or claim made by the manufacturer of Parkinson's disease medication of 75% effectiveness is without sufficient evidence. Hence, the claim made is false or has no statistical evidence.

4 0
2 years ago
Other questions:
  • A company earns a profit of $100 the first month it is in business. Every month after that, the company earns a profit that is 1
    9·1 answer
  • What is the midpoint of the segment show below
    6·2 answers
  • A new car has a sticker price of $23,950, while the invoice price paid on it was
    12·2 answers
  • 514 divided by 28 equals?
    11·2 answers
  • I need helps pls :)
    6·1 answer
  • Find the slope of the line that asses through the pair of oints (17,11) and (21,19)
    8·2 answers
  • Do two lines that intersect make 4 right angles
    15·2 answers
  • Find x<br><br>8(x+1)³ = 27(2x-1)³​
    15·1 answer
  • Helpppppppppppppppppppppppppppp
    8·2 answers
  • A system of equations is shown below. Solve for x.<br><br> y = x² - 6x + 4<br> y = x + 1
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!