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
Wittaler [7]
3 years ago
12

Help me solve this question

Mathematics
1 answer:
OLEGan [10]3 years ago
4 0

Consider the first term on the left side.

\displaystyle \frac{2\sin{A}}{\cos{3A}}\\\\=\frac{2\sin{A}\cos{A}}{\cos{3A}\cos{A}}\qquad\text{multiply by cos(A)/cos(A)}\\\\=\frac{\sin{2A}}{\cos{3A}\cos{A}}\qquad\text{double angle formula for sin}\\\\=\frac{\sin{(2A-A)}}{\cos{3A}\cos{A}}=\frac{\sin{3A}\cos{A}-\cos{3A}\sin{A}}{\cos{3A}\cos{A}}\\\\=\tan{3A}-\tan{A}

Then the sum of the three terms on the left is

\left(\tan{3A}-\tan{A}\right)+\left(\tan{9A}-\tan{3A}\right)+\left(\tan{27A}-\tan{9A}\right)\\\\=\tan{27A}-\tan{A}\qquad\text{Q.E.D.}

You might be interested in
the graph of a liner relationship has a slope of -5 and passes through the point (2, -12). write tge equation of the liner in th
bixtya [17]

Answer:

y = -5x - 2

Step-by-step explanation:

equation formula: y = mx + c

m = -5

-12 = -5(2) + c

c = -2

⇒ y = -5x - 2

5 0
2 years ago
Y=x-7<br> Y=-4x-2<br> Solve by substitution help please
wlad13 [49]

Answer:

(1, - 6 )

Step-by-step explanation:

Given the 2 equations

y = x - 7 → (1)

y = - 4x - 2 → (2)

Substitute y = x - 7 into (2)

x - 7 = - 4x - 2 ( add 4x to both sides )

5x - 7 = - 2 ( add 7 to both sides )

5x = 5 ( divide both sides by 5 )

x = 1

Substitute x = 1 into either of the 2 equations for corresponding value of y

Substituting x = 1 into (1)

y = 1 - 7 = - 6

Solution is (1, - 6 )

6 0
3 years ago
Read 2 more answers
Please answer correctly! I will mark you as Brainliest!
alukav5142 [94]

Answer:

1024pi/3

Step-by-step explanation:

to find the volume of a sphere you use the equation 4/3*pi*r^3

4/3*pi*8^3

4/3*pi*512

2048/3 pi

This is the volume of the whole sphere but we only need half so we can just divide by 2.

(2048/3 pi)/2

1024/3 pi

6 0
3 years ago
–2.5 + (–3.5) Which number line shows the sum? (and i know its not -6)
Leto [7]

Answer:

6

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
The system of equations below represents the measures of 2 angles created by the diagonal of a rectangle: x + y = 90 y =1/5 What
madreJ [45]

Answer:

The larger of the two angles is x, which is 75. y is the smaller angle at 15.

Step-by-step explanation:

In order to find these, we can use our solved value for y in the second equation to plug into the first equation. This method is called substitution.

x + y = 90

x + (1/5x) = 90

1.2x = 90

x = 75

Now we can plug that value into either equation to find y

y = 1/5x

y = 1/5(75)

y = 15

4 0
3 years ago
Other questions:
  • Help please in algebra ​
    12·1 answer
  • Decima is a spanish song form that is a style of poetry. how many lines does it have?
    7·2 answers
  • Identify the three types of isometric transformations
    15·1 answer
  • Determine whether the following sequence is geometric. If so, find the common ratio.
    13·1 answer
  • The perimeter of a rectangle is 84 cm. if the length is 25 cm, how wide is the rectangle?
    15·1 answer
  • A store pays $846 for a carousel. The store marks up the price by 26%. What is the new price?
    9·1 answer
  • List the vertex<br><br> Name the roots of the graph
    12·1 answer
  • FRUIT
    6·1 answer
  • Please help ASAP! i rlly need help
    11·2 answers
  • HELP ME SOLVE THUS PLEASE! 50 POINTS WILL BE REWARDED!!!!
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!