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svet-max [94.6K]
2 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]2 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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I WILL GIVE BRAINLIEST!!!!
posledela

The answers to the questions are:

1. x = 4

2.  x = 1.5

3. x = 1.875

4. x = 1

<h3>2 step equation:</h3>

1. 4x + 3 = 19

4x = 19 - 3

4x = 16

divide by 4

x = 4

<h3>2 step equation w/ fractions:</h3>

(4/3)x + 5 = 17

= 1.33x + 5 = 7

Take like terms

1.33x = 7-5

1.33x = 2

divide through by 1.33x to get 2

x = 2/1.33

x = 1.5

<h3>3. Distributive Property:</h3>

4x(6 - 2) - 10 = 20

Multiply and open the bracket

24x - 8x - 10 = 20

Take like terms

16x = 20+10

16x = 30

x = 30/16

= 1.875

<h3>4. Decimals:</h3>

4.3x + 0.7 = 5

4.3x = 5 - 0.7

4.3x = 4.3

x = 1

Read more on distributive properties here:

brainly.com/question/2807928

#SPJ1

7 0
1 year ago
Identify this conic section. 16y = x^2
kiruha [24]

ANSWER

A parabola.

EXPLANATION

The given conic is :

16y =  {x}^{2}

This can be rewritten as:

{x}^{2}  = 16y

{x}^{2}  = 4(4)y

This is a parabola with the vertex at the origin.

The foci is (0,4)

Therefore the given conic section is a parabola that has an axis of symmetry parallel to the y-axis.

7 0
3 years ago
Find the standard equation of the parabola that satisfies the given conditions. Also, find the length of the latus rectum of eac
lakkis [162]

Answer:

The standard parabola

                                y² = -18 x +27

Length of Latus rectum = 4 a = 18

                         

Step-by-step explanation:

<u><em>Explanation:-</em></u>

Given focus : (-3 ,0) ,directrix  : x=6

Let P(x₁ , y₁) be the point on parabola

PM perpendicular to the the directrix L

                          SP² = PM²

                (x₁ +3)²+(y₁-0)²  = (\frac{x_{1}-6 }{\sqrt{1} } )^{2}

              x₁²+6 x₁ +9 + y₁² = x₁²-12 x₁ +36

                          y₁² = -18 x₁ +36 -9

                           y₁² = -18 x₁ +27

The standard parabola

                                y² = -18 x +27

    Length of Latus rectum = 4 a = 4 (18/4) = 18

                         

5 0
3 years ago
A group of student organized a car wash to raise money for a local charity.the student charged $5 for each car they washed. In 3
Alex Ar [27]
$5 each car 3 hours = 12 cars ÷3 ÷3 1 hours = 4 cars ×8 ×8 8 hours = 32 cars 32 cars × $5 per car = $160 They earned $160 in 8 hours, from washing 32 cars.
7 0
3 years ago
When giving directions to your house, you tell someone to drive two miles east, then three miles north, then one mile west. what
Sonja [21]
Then my house will be in the south because thats the only one that is left
4 0
3 years ago
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