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mariarad [96]
2 years ago
8

PLEASE HELP: if √3 cos x - sin x = B cos(x+θ), show that b cosθ = √3 and b sin θ = 1

Mathematics
1 answer:
Lesechka [4]2 years ago
7 0

Step-by-step explanation:

See attached image for proof

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Find sin(2x), cos(2x), and tan(2x) from the given information.<br> tan(x) = − 1/2 , cos(x) &gt; 0
vodomira [7]

Answer:

  • sin(2x) = -4/5
  • cos(2x) = 3/5
  • tan(2x) = -4/3

Step-by-step explanation:

It may be easiest to start with tan(2x).

  tan(2x) = 2tan(x)/(1 -tan(x)²)

  tan(2x) = 2(-1/2)/(1 -(-1/2)²) = -1/(3/4)

  tan(2x) = -4/3 . . . . . still a 4th-quadrant angle

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Then cosine can be found from ...

  cos(2x) = 1/√(tan(2x)² +1) = 1/√((-4/3)²+1) = √(9/25)

  cos(2x) = 3/5

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Sine can be found from these two:

  sin(2x) = cos(2x)tan(2x) = (3/5)(-4/3)

  sin(2x) = -4/5

5 0
3 years ago
George has 750 milliliters of water. How many liters is this?
Svetlanka [38]
There are 1000 milliliters per liter, so...

750 ml x 1 liter/1000 ml =
750/1000 = .75 liters
5 0
3 years ago
Ten less than the cube of a number
Virty [35]

ten less than the cube of a number n:

n^3-10

4 0
2 years ago
Which graph shows the solution set of x^2+4x-12/x 0
kupik [55]
As shown in the figure below the answer is the last option:

(-6, 0) \cup (2, +\infty)

The roots of the polynomial in the denominator are:

x_{1}=-6
x_{2}=2

So, the inequality can be written as follows:

\frac{(x-2)(x+6)}{x}\ \textgreater \ 0

From this inequality we can study the signs and get the same conclusion just as shows the graph.



6 0
3 years ago
Read 2 more answers
Khan academyyyy ⠀⠀⠀⠀⠀⠀⠀⠀
matrenka [14]

Answer:

option A, C , E

Step-by-step explanation:

- 4 + ( 4 + 5 ) = ( - 4 + 4 ) + 5      [ associative property ]

5 0
3 years ago
Read 2 more answers
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