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
V125BC [204]
3 years ago
15

Solve 3sinx-4sin^3 x= -1

Mathematics
1 answer:
postnew [5]3 years ago
5 0
Hello,

Since 3sin x-4sin^3x=sin (3x)  (*****)
3sin x-4sin^3x=-1
==>sin (3x)=-1
==>3x=3π/2 +2kπ
==>x=π/2+2kπ/3, k being an integer

(*****)
sin (3x)=sin(x+2x)=sin x cos2x+cos x sin 2x
=sin x(cos²x-sin²x)+2cos²x sin x
=sin x(cos²x+2cos²x-sin²x)
=sinx(3(1-sin²x)-sin²x)
=3sin x-4sin^3x
You might be interested in
3 ( 8m+5) = 4 (6m+7)-13
Kitty [74]

Answer:

infinite solutions

Step-by-step explanation:

Given

3(8m + 5) = 4(6m + 7) - 13 ← distribute parenthesis on both sides

24m + 15 = 24m + 28 - 13 , that is

24m + 15 = 24m + 15

Since both sides are equal then any real value of x makes the equation true.

Thus there are an infinite number of solutions

8 0
3 years ago
If two angles in a triangle are 60° and 30°, is the third angle acute, obtuse, or right?​
Sindrei [870]

Answer: Right Angle

Step-by-step explanation:

And Since The Angles Of a Trangle Add Up To 180° When You Substract 90 From It You Remain With Another 90° Which Means The Angle Is Non Other Than a right angle traingle

60° + 30° = 90°

180° - 90° = 90°

∴ 90° = Right Angle Traingle

4 0
3 years ago
Please help me. I am having trouble
spin [16.1K]

Answer:

area = 41 units²

Step-by-step explanation:

area = (8 x 4) + (3 x 3) = 41 units²

5 0
2 years ago
Read 2 more answers
Evaluate t Divided 3/4 for T equal 9 3/4
Molodets [167]
T / 3/4 ; t = 9 3/4

9 3/4 / 3/4

9 3/4 = 39/4

39/4 / 3/4
39/4 x 4/3
39 x 4 = 156
4 x 3 = 12
156/12 / 4/4 = 39/3 = 13
7 0
3 years ago
What is the slope of the line passing through the points (-1,-7) and (-9,-2)?
nalin [4]

Answer: m = -5/8

Step-by-step explanation:

The general equation for slope is rise over run, also known as:

m=(y2-y1)/(x2-x1)

From the points (x, y), we can get all the variables we need.

(-1, -7) gives us x1 = -1 and y1 = -7

(-9, -2) gives us x2 = -9 and y2 = -2

If we plug all the values in, we get:

m = (-2 - (-7))/(-9 - (-1))

m = (-2 + 7)/(-9 + 1) the negatives cancel

m = (5)/(-8)

m = -5/8

7 0
3 years ago
Other questions:
  • The vertex form of the equation of a parabola is x=8(y-1)^2-15. What is the standard form of the equation?
    12·2 answers
  • ---- PLEASE HELP <3 .. with steps :( <3
    10·1 answer
  • Which is a zero of the quadratic function f(x) = 16x^2 + 32x − 9?
    12·1 answer
  • What is the square root of 45
    7·1 answer
  • What percent of 99 is 90?
    11·1 answer
  • The baseball team needs new equipment. Company A can provide 9 helmets, 6 bats, and 12 balls for $525. Company B can provide 10
    7·2 answers
  • Find the total surface area.<br> 8 km<br> 4 km<br> 3.9 km<br> 2 km<br> 8 km
    11·1 answer
  • I want the answers because i don't know how to do it
    12·2 answers
  • Write an equation of the line with the given characteristics (show all work)
    14·1 answer
  • Jerome swam 11 laps in his circula pool. If he traveled a total distance of 1,036.2 feet, what is the diameter of his pool?
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!