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
Scorpion4ik [409]
3 years ago
15

Prove that:sin3A/sinA - cos3A/cosA=2​

Mathematics
1 answer:
LekaFEV [45]3 years ago
6 0

The result essentially follows directly from the triple-angle identities,

sin(3A) = 3 sin(A) cos²(A) - sin³(A)

cos(3A) = cos³(A) - 3 sin²(A) cos(A)

Then

sin(3A)/sin(A) = 3 cos²(A) - sin²(A)

cos(3A)/cos(A) = cos²(A) - 3 sin²(A)

and

sin(3A)/sin(A) - cos(3A)/cos(A)

= 3(cos²(A) + sin²(A)) - (sin²(A) + cos²(A))

= 3 - 1

= 2

You might be interested in
Lily spend 30.00 on a t shirt ,a sandwich,and 2 books the t shirt cost 8.95 , and the sandwich cost 7.25
Tatiana [17]
If the shirt is $8.95 and the sandwich is $7.25 then the books are $6.09 each which means they are $13.08 together. 
6 0
4 years ago
Read 2 more answers
Which statement is true about the discontinuities of the function f(x)?
krek1111 [17]
In order to find out where your holes and asymptotes are is to factor both the top and the bottom of that rational function.  The numerator factors to (x+2)(x-2) and the denominator factors to x(x+1)(x-2).  So since there is an (x-2) in both the numerator and denominator, that is called a removable discontinuity which we also know as a hole.  The other factors in the denominator, the x and the (x+1) are vertical asymptotes, or values of x that make the rational function undefined (you're NEVER allowed to have a 0 in the denominator of a fraction!).  So your correct choice is c.  The way you find the y coordinate for the hole is to plug in 2 for x and solve it for y.  No biggie.
3 0
3 years ago
Read 2 more answers
A cube has a surface are of 54. What's the volume?
bixtya [17]

Answer:

B

Step-by-step explanation:

54/6=9 meaning each face has an area of 9.

Meaning each side has an area of 3.

That means the volume is 3*3*3=27

6 0
3 years ago
Read 2 more answers
Please help! Only if you KNOw, I’m confused
jeka94

Answer:

40

Step-by-step explanation:

1.Kknow the following information;

Remember, the sum of degrees of angles in a triangle is 180.

So say if a traingle contained;

<1, <2, <3,

Then:

<1 + <2 + <3 = 180

2. State the given, and set up an equation;

In this case, it is given that;

<1 = 115

<2 = 25

Therefore, set up the equation;

115 + 25 + <3 = 180

3. Solve the equation;

115 + 25 + <3 = 180

Simplify,

140 + <3 = 180

Inverse operations,

140 + <3 = 180

-140          -140

<3 = 40

3 0
3 years ago
How much is 3%from $600.85
Free_Kalibri [48]
This is a problem in which the percentage and the actual amount are both given. Only thing to do is convert the percentage to amount.
3% of $600.85 = (3/100) * 600.85
                       = 1802.55/100
                       = 18.0255
                       = 18.03 dollars
So 3% of the amount $600.85 is $18.03. I hope this was the answer you were looking for and I have helped you in this matter. If you have understood the procedure of doing this problem, then in future you can attempt such problems by your own with absolute ease.


4 0
3 years ago
Read 2 more answers
Other questions:
  • The sum of 15 and x divide by 12
    5·1 answer
  • 1. Find the Distance of (2,3) and (0,7)
    5·1 answer
  • Which is a factor of 20 but not a multiple of 2
    6·2 answers
  • The prices of two different-sized bottles of laundry detergent are listed below
    13·1 answer
  • A researcher studying the effect of price cuts on consumers' expectations makes up two different histories of the store price of
    14·1 answer
  • Given the 8-sided figure below with exterior angle measures as shown, what is the value of
    9·1 answer
  • Drag each tile to the correct box
    10·1 answer
  • Just need help on this question​
    5·1 answer
  • Plz help me tyy very mucgh​
    5·1 answer
  • The function q = 230,000 -28p is a demand function which expresses the quantity demanded of a product q as a function of the pri
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!