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3 years ago

Verify sin4 x- sin2x = cos4x – cos2x is an identity

Mathematics

1 answer:

Andrej [43]3 years ago

6 0

Step-by-step explanation:

sin⁴ x − sin² x

Factor:

(sin² x) (sin² x − 1)

Pythagorean identity:

(1 − cos² x) (-cos² x)

Distribute:

-cos² x + cos⁴ x

cos⁴ x − cos² x

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a system of equations is shown below: x y = 3 2x − y = 6 the x−coordinate of the solution to this system of equations is _____.

pychu [463]

If you would like to solve the system of equations x + y = 3 and 2x - y = 6, you can do this using the following steps:

x + y = 3 ... y = 3 - x
2x - y = 6
_________
2x - y = 6
2x - (3 - x) = 6
2x - 3 + x = 6
3x = 6 + 3
3x = 9 /3
x = 9/3
x = 3

y = 3 - x = 3 - 3 = 0

The correct result would be x = 3.

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3 years ago

Use the quadratic formula to solve the quadratic equation. SHOW ALL WORK. 2 −8+41 = 0

horsena [70]

Answer:

Solving the equation $x^2-8x+41=0$ using quadratic formula we get $x=4+5i \ or \ x=4-5i$

Step-by-step explanation:

We need to solve the equation $x^2-8x+41=0$ using quadratic formula.

The quadratic formula is:

$x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$

where a=1, b=-8 and c=41

Putting values in formula and finding x

$$x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$\\$x=\frac{-(-8)\pm\sqrt{(-8)^2-4(1)(41)}}{2(1)}$\\$x=\frac{8\pm\sqrt{64-164}}{2}$\\$x=\frac{8\pm\sqrt{-100}}{2}$\\We \ know \ \sqrt{-1}=i\\x=\frac{8\pm10i}{2}\\x=\frac{8+10i}{2} \ or \ x=\frac{8-10i}{2}\\x=4+5i \ or \ x=4-5i$

So, Solving the equation $x^2-8x+41=0$ using quadratic formula we get $x=4+5i \ or \ x=4-5i$

5 0

3 years ago

If f(x)=x-6 and g(x)=x1/2(x+3), find g(x) times f(x)

Elden [556K]

To solve this problem you must apply the proccedure shown below:
1. You have the following functions given in the problem above:
$f(x)=x-6 
$ and $g(x)=x1/2(x+3)=x(x+3)/2$ 
2. You have that g(x) times f(x) can be written as g(x)*f(x). Therefore, you must multiply f(x) * g(x), as following:
 $g(x)*f(x)=(x-6)*x(x+3)/2$ 
3. Applying the distributive property, you have:
 $g(x)*f(x)=( x^{3} + 3x^2 - 6x^{2} -18x)/2$
$g(x)*f(x)=(x^{3} - 3x^{2} -18x)/2$
The answer is: $g(x)*f(x)=(x^{3} - 3x^{2} -18x)/2$

5 0

3 years ago

Yooo this trippy help

lilavasa [31]

Answer:

-2150000

Step-by-step explanation:

I hope this right cause my head hurt doing that

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3 years ago

Which of the following statements are always true when a transversal crosses parallel lines? 1.Several congruent angles are form

slavikrds [6]

Statements that are always true are:1. Several congruent angles are formed.4. Supplementary angles are formed.Other statements are not always true when a transversal crosses parallel lines.

6 0

3 years ago

Read 2 more answers