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Andrei [34K]
3 years ago
9

Write the following as a single sine or cosine function of an angle

Mathematics
2 answers:
mezya [45]3 years ago
8 0

Answer:

idk

Step-by-step explanation:

i wish i did

Vladimir [108]3 years ago
8 0

Answer:

The following as a single sine  function of an angle:

12 sin3\theta \cos3\theta cos 6\theta =3\times \sin12\theta

Step-by-step explanation:

Given : 12 sin3\theta \cos3\theta cos 6\theta

Using identity:

Sin2x=2\times \sin x \cos x

=6\times 2\times sin3\theta \cos3\theta \cos 6\theta

=6\times (2\times sin3\theta \cos3\theta) \cos 6\theta

=6\times \sin 6\theta \cos 6\theta

=3\times (2\times \sin 6\theta \cos 6\theta)

=3\times \sin12\theta

The following as a single sine  function of an angle:

12 sin3\theta \cos3\theta cos 6\theta =3\times \sin12\theta

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A ship goes at the rate of (3m-2) knots per hour. How far can it travel in (4m+9) hours?
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Which linear equation has no solution?
olga_2 [115]

Answer:

Option A

Step-by-step explanation:

Given:

  • a. 3x-5= 3x + 5
  • b. 3x-5= 3x - 5
  • c. 3x - 5 = 2x+5
  • d. 3x-5 = 2x + 10

To find:

  • Which one of the linear equations have no solution.

Solution:

a)  3x-5= 3x + 5

Add 5 to both sides

3x-5= 3x + 5

3x - 5 + 5 = 3x + 5 + 5

Simplify

(Add the numbers)

3x - 5 + 5 = 3x + 5 + 5

3x = 3x + 5 + 5

(Add the numbers)

3x  = 3x + 5 + 5

3x = 3x + 10

Subtract 3x from both sides

3x = 3x + 10

3x - 3x = 3x + 10 - 3

Simplify

(Combine like terms)

3x -3x = 3x + 10 - 3

0 = 3x + 10 - 3

(Combine like terms)

0 = 3x + 10 - 3

0 = 10

The input is a contradiction: it has no solutions

b)  3x-5= 3x - 5

Since both sides equal, there are infinitely many solutions.

c)  3x - 5 = 2x+5

Add 5 to both sides

3x = 2x + 5 + 5

Simplify  2x + 5 + 5 to 2x + 10

3x = 2x + 10

Subtract 2x from both sides

3x - 2x = 10

Simplify 3x - 2x to x.

x = 10

d) 3x-5 = 2x + 10

Add 5 to both sides

3x = 2x + 10 + 5

Simplify 2x + 10 + 5 to 2x + 15

3x = 2x + 15

Subtract 2x from both sides

3x - 2x = 15

Simplify 3x -2x to x.

x = 15

--------------------------------------------

Answer:

As you can see all c and d both have solutions, eliminating them as options. Option B has infinite solutions leaving Option A which has no solutions.

Therefore, <u><em>Option A</em></u> is the linear equation that has no solution.

3 0
2 years ago
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