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Luden [163]
3 years ago
5

Plzzz show the proof for meeee​

Mathematics
1 answer:
ludmilkaskok [199]3 years ago
7 0

Step-by-step explanation:

cos(A + B) cos(A − B)

Use angle sum/difference formulas:

(cos A cos B − sin A sin B) (cos A cos B + sin A sin B)

Distribute:

cos² A cos² B − sin² A sin² B

Use Pythagorean identity:

cos² A (1 − sin² B) − (1 − cos² A) sin² B

Distribute:

cos² A − sin² B cos² A − (sin² B − sin² B cos² A)

cos² A − sin² B cos² A − sin² B + sin² B cos² A

cos² A − sin² B

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Find the values of x in [0,360) which satisfy 2cot^2x=-3cscx
IgorLugansk [536]

Answer:

The values of x is -30 degrees and undefined

None of these values fall within the given range

Thus, no value within the given range is the solution to the equation

Step-by-step explanation:

Here, we want to find the value of x that works for the equation in the selected range

2cot^2x = -3csc x

Mathematically, from trigonometry;

cot^2x = csc^2x - 1

Substitute this above

2(csc^2x - 1)= -3csc x

let csc x = b

2(b^2-1) = -3b

2b^2 - 2 + 3b = 0

2b^2 + 3b - 2 = 0

2b^2 + 4b - b - 2 = 0

2b(b+ 2) - 1( b + 2) = 0

(2b-1)(b + 2) = 0

2b = 1

b = -2

b = 1/2 = 0.5

or b = -2

Recall;

csc x = b

x = csc^-1 b

x = csc^-1 0.5

x = undefined

Secondly;

b = -2

x = csc^-1 (-2)

x = -30 degrees

As we can see , between the points

0 ≤ x < 360

None of our answers fall in these range

5 0
3 years ago
Lizzie has 12 pounds of clay and wants to use all of it. She does not need to make all of the projects, and may make more than o
torisob [31]

Answer:

many answers,

Step-by-step explanation:

she could make 9 mugs, (3/4 x 9 = 12)

she could make 1 small bowl, 1 small plate, 2 large bowls and 2 mugs. (2.5 + 1.5 = 4, 3.25 x2 = 6.5  .75 x 2 = 1.5; 4+ 6.5= 10.5  10.5 + 1.5 = 12) etc

8 0
3 years ago
Please help, I need the answer quick, Thank you
cricket20 [7]

Answer: true

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
substitute the given values into the given formula and solve for the unknown variable. If necessary, round to one decimal place.
Valentin [98]
I= PRT
7280=26000×0.07T
7280\1820=1820T\1820
4=T
dats all
7 0
4 years ago
Name a combination of 12 coins that equals 3 dollars (has to be dimes &amp; quarters)
m_a_m_a [10]

Answer:

63(P) 20

Step-by-step explanation:

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