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svet-max [94.6K]
3 years ago
14

Use the​ power-reducing formulas to rewrite the expression as an equivalent expression that does not contain powers of trigonome

tric functions greater than 1.
2(sin^4)x
Mathematics
1 answer:
Delicious77 [7]3 years ago
6 0

Step-by-step explanation:

Sin^2 (x) * Cos^2 (x) = {[1 - cos (2x)]/2}*{[1 + cos (2x)]/2}

Sin^2 (x) * Cos^2 (x) =[ 1 - cos^2 (2x)]/4

Sin^2 (x) * Cos^2 (x) = (1/4) - (1/4) * cos^2 (2x)

Sin^2 (x) * Cos^2 (x) =  (1/4) - (1/4) * {[1 + cos (2*2x)]/2}

Sin^2 (x) * Cos^2 (x) =  (1/4) - (1/8) * [1 + cos (4x)]

Sin^2 (x) * Cos^2 (x) =  (1/4) - (1/8) - (1/8)* [cos (4x)]

Sin^2 (x) * Cos^2 (x) =  (1/8) - (1/8)* [cos (4x)]

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Show that points A(-3,-2),B(3,1), and C(5,2) lie on a straight line​
agasfer [191]

Answer:

Step-by-step explanation:

If A, B, and C are on the same line, they have the same slope.

k is slope.

k(AB) = \frac{(1+2)}{(3+3)} =\frac{1}{2};

K(BC)=\frac{2-1}{5-3} =\frac{1}{2};

So k(AB)=K(BC)

7 0
3 years ago
3/4% of 170 Please write helpful answer
telo118 [61]

Answer:

1.275

Step-by-step explanation:

3 0
2 years ago
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What is the simplest form of 3x^3 + x^2 + 2 ( x^3 - 4x^2 )
viva [34]

Answer:

−8x^4 + 5x^3 + x^2

Step-by-step explanation:

3x^3  + x^2  + 2 (x^3  − 4x^4)

Apply the distributive property.

3x^3  + x^2  + 2x^3  + 2 (−4x^4)

Multiply −4 by 2.

3x^3 + x^2 + 2x^3 − 8x^4

Simplify by adding terms.

Add 3x^3 and 2x^3.

5x^3 + x^2 − 8x^4

Simplify the expression.

Move x2.

5x^3 − 8x^4 + x^2

Reorder 5x^3 and −8x^4.

−8x^4 + 5x^3 + x^2

4 0
3 years ago
What is an equation in point-slope form of the line shown below? (-2,1) (4,4)
Natali [406]

Answer:

y = 1/2x +2

Step-by-step explanation:

y-y1= m (x-x1)

first find slope

m= 4-1 / 4 - (-2)

m= 3 / 4+2

m= 3/ 6

m = 1/2

you can pick any of the two points to solve for point slope form

y-4 = 1/2 (x-4)

y-4= 1/2x -2

add 4 on both sides

y = 1/2x +2

y-1= 1/2 (x- (-2))

y-1= 1/2 (x+2)

y-1= 1/2x +1

add 1 on both sides

y= 1/2x +2

you should get the same answer with any of the two points you chose

you might want to use a calculator to solve this

if you want to use both points to make sure the answer is correct, you can

if you don't get the same answer with both points then u did something wrong during the equation.

4 0
3 years ago
Please help! Worth 25 points :)
Daniel [21]

Answer:

b

Step-by-step explanation:

5(0)-3(-4)=12 that simply's to 0+12=12

its no subtraction sign cause cant have a double negative

7 0
3 years ago
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