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3 years ago

Cos square 30 degree minus sin square 30 degree is equals to 1 minus 2 sin square 30 degree

Mathematics

1 answer:

babunello [35]3 years ago

4 0

Answer:

see explanation

Step-by-step explanation:

Not sure quite what you are asking, but

Using the trigonometric identity

cos² x = 1 - sin²x, then

cos²x - sin²x

= 1 - sin²x - sin²x

= 1 - 2sin²x

Thus

cos²30° - sin²30° = 1 - 2sin²30°

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23 096 145

Yuri [45]

Answer:

twenty three million ninety six thousand one hundered fourty five

Step-by-step explanation:

not needed

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2 years ago

Find the value of the expression 3x for the following values of x when x = 10

ElenaW [278]

Answer:

A) 30

Step-by-step explanation:

3*10=30

A 30

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3 years ago

I NEED HELP ASAP PLEASEEEE!!!!!

earnstyle [38]

Answer:

Step-by-step explanation:

Use Pythagorean theorem.

Hypotenuse² = base² + altitude²

5) x² = 12² + 6²

= 144 + 36

x² = 180

x = √180

x = 13.42 ft

6) 25² = x² + 19²

625 = x² + 361

625 - 361 = x²

x² = 264

x = √264

x = 16.25 m

7) x² = 7² + 576

= 49 + 576

= 625

x = √625

x = 25 in

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6.25 - 4 = x²

x² = 2.25

x = √2.25

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5 0

3 years ago

A large tank is filled to capacity with 600 gallons of pure water. brine containing 4 pounds of salt per gallon is pumped into t

nignag [31]

If $A(t)$ is the amount of salt in the tank at time $t$ , then the rate at which the amount of salt in the tank changes is given by

$\dfrac{\mathrm dA(t)}{\mathrm dt}=\dfrac{4\text{ lbs}}{1\text{ gal}}\dfrac{6\text{ gal}}{1\text{ min}}-\dfrac{A(t)\text{ lbs}}{600\text{ gal}}\dfrac{6\text{ gal}}{1\text{ min}}$
$\dfrac{\mathrm dA}{\mathrm dt}=24\dfrac{\text{lb}}{\text{min}}-\dfrac{A(t)}{100}\dfrac{\text{lb}}{\text{min}}$

Let's drop the units for now. We have

$\dfrac{\mathrm dA(t)}{\mathrm dt}+\dfrac{A(t)}{100}=24$
$e^{t/100}\dfrac{\mathrm dA(t)}{\mathrm dt}+e^{t/100}\dfrac{A(t)}{100}=24e^{t/100}$
$\dfrac{\mathrm d}{\mathrm dt}\left[e^{t/100}A(t)\right]=24e^{t/100}$
$e^{t/100}A(t)=\displaystyle24\int e^{t/100}\,\mathrm dt$
$e^{t/100}A(t)=2400e^{t/100}+C$
$A(t)=2400+Ce^{-t/100}$

We're given that the water is pure at the start, so $A(0)=0$ , giving

$A(0)=0=2400+Ce^{-0/100}\implies C=-2400$

So the amount of salt in the tank (in lbs) at time $t$ is

$A(t)=2400\left(1-e^{-t/100}\right)$

4 0

3 years ago

Which function has the greater rate of change?

kompoz [17]

Answer: Function 1

Step-by-step explanation:

Function 1 has rate of change of

(15.75 - 14.25)/(1 -(-1)) = 0.75. This was calculated using slope formula.

Function 2 has rate of change of 5/6, which is 0.833.

8 0

3 years ago

Cos square 30 degree minus sin square 30 degree is equals to 1 minus 2 sin square 30 degree​

Cos square 30 degree minus sin square 30 degree is equals to 1 minus 2 sin square 30 degree