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
Mashcka [7]
3 years ago
15

Sinx =căn 2/3 sinx=5/4 sinx =1 sin3x=can3/2 sin(x-60)=-1/2 sin3x=1/2

Mathematics
1 answer:
mel-nik [20]3 years ago
6 0

Answer:

Correct option is

B

0

D

−1

sinx+sin2x+sin3x

=sin(2x−x)+sin2x+sin(2x+x)

=2sin2xcosx+sin2x [ by using sin(A+B)=sinAcosB+sinBcosA and sin(A−B)=sinAcosB−sinBcosA ]

=sin2x(2cosx+1)........(i)

cosx+cos2x+cos3x

=cos(2x−x)+cos2x+cos(2x+x)

=2cos2xcosx+cos2x [By using cos(a−b)=cosa⋅cosb+sina⋅sinb and cos(a+b)=cosa⋅cosb−sina⋅sinb]

=cos2x(2cosx+1).....(ii)

∴(sinx+sin2x+sin3x)

2

+(cosx+cos2x+cos3x)

2

=1

sin

2

2x(2cosx+1)

2

+cos

2

2x(2cosx+1)

2

=1.......[From(i)(ii)]

⇒(2cosx+1)

2

=1

⇒2cosx+1=±1

∴cosx=0or−1

You might be interested in
Functions can be defined using graphs, tables, and ordered pairs. What is the range of a function? Group of answer choices
pshichka [43]

Answer:

The range is the output.

Step-by-step explanation:

A function consists of two parts:

1. Domain - Domain is the set of all values that are inputted to a function. So, domain is set of all possible values of x.

2. Range - It is the set of all output values for given input values. It is the set of all possible values of y for given x values.

Therefore, range is the output to a function.

6 0
3 years ago
Read 2 more answers
What's the mean median and range of 7, 1, 1, 7, 1, 4, 1??
Alekssandra [29.7K]

Answer:

Mean is 3, median is 1, and range is 6

Step-by-step explanation:

Im a smart dude with a great attitude

6 0
3 years ago
1/2 n + 3 = 6 please the answer thank u
spin [16.1K]

Answer:

Step-by-step explanation:

1/2 n + 3 = 6

-3 -3

1/2 = 3

Answer is 1.5=n

6 0
3 years ago
Read 2 more answers
A local board of education conducted a survey of residents in the community concerning a property tax levy on the coming local b
IrinaK [193]

Answer:

a. [ 0.454,0.51]

b. 599.472 ~ 600

Step-by-step explanation:

a)

Confidence Interval For Proportion

CI = p ± Z a/2 Sqrt(p*(1-p)/n)))

x = Mean

n = Sample Size

a = 1 - (Confidence Level/100)

Za/2 = Z-table value

CI = Confidence Interval

Mean(x)=410

Sample Size(n)=850

Sample proportion = x/n =0.482

Confidence Interval = [ 0.482 ±Z a/2 ( Sqrt ( 0.482*0.518) /850)]

= [ 0.482 - 1.645* Sqrt(0) , 0.482 + 1.65* Sqrt(0) ]

= [ 0.454,0.51]

b)

Compute Sample Size ( n ) = n=(Z/E)^2*p*(1-p)

Z a/2 at 0.05 is = 1.96

Samle Proportion = 0.482

ME = 0.04

n = ( 1.96 / 0.04 )^2 * 0.482*0.518

= 599.472 ~ 600

8 0
3 years ago
9x3^15 can be written as 3^n. What is the value of n​
stich3 [128]
N=17
used a calculator
5 0
3 years ago
Read 2 more answers
Other questions:
  • Use the distributive property to write an equivalent expression in simplest form.<br> 9(4h+ 9m)
    8·2 answers
  • 36 is 80% of what number?
    8·2 answers
  • Christina bought a purse for $29.95 and x belts for $3.99 each. Which of the following expressions shows the total amount of mon
    15·2 answers
  • Freshly frozen yogurt is the popular place in town. Saturday is their busiest night. The ratio of number of cones to the number
    5·1 answer
  • ❗️ASKED ONCE AND NO ONE ANSWERED, WILL MARK BRAINLIEST,,,,,,,,,,❗️. Five men and eight women work in a firm’s PR office. Their e
    10·2 answers
  • Which doubles fact helps you solve 3+4=7
    8·2 answers
  • Solve x^2+5x=-6 please solve this using quadratics
    14·2 answers
  • You have 20 to spend on taxi fare. The ride costs $ 5 plus $2.50 per mile. Let m represent the number of miles ridden. Write an
    10·2 answers
  • What is the area of this triangle?<br><br> A=Bh/2
    9·1 answer
  • How do you prove similarity in math?
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!