What is the value of the lower quartile? 2 2.5 3 6

Simplify: cos2x-cos4 all over sin2x + sin 4x

GrogVix [38]

Answer:

$\frac{\cos\left(2x\right)-\cos\left(4x\right)}{\sin\left(2x\right)+\sin\left(4x\right)}=\tan\left(x\right)$

Step-by-step explanation:

$\frac{\cos\left(2x\right)-\cos\left(4x\right)}{\sin\left(2x\right)+\sin\left(4x\right)}$

Apply formula:

$\cos\left(A\right)-\cos\left(B\right)=-2\cdot\sin\left(\frac{A+B}{2}\right)\cdot\sin\left(\frac{A-B}{2}\right)$ and

$\sin\left(A\right)+\sin\left(B\right)=2\cdot\sin\left(\frac{A+B}{2}\right)\cdot\sin\left(\frac{A-B}{2}\right)$

We get:

$=\frac{-2\cdot\sin\left(\frac{2x+4x}{2}\right)\cdot\sin\left(\frac{2x-4x}{2}\right)}{2\cdot\sin\left(\frac{2x+4x}{2}\right)\cdot\cos\left(\frac{2x-4x}{2}\right)}$

$=\frac{-\sin\left(\frac{2x-4x}{2}\right)}{\cos\left(\frac{2x-4x}{2}\right)}$

$=\frac{-\sin\left(\frac{-2x}{2}\right)}{\cos\left(\frac{-2x}{2}\right)}$

$=\frac{-\sin\left(-x\right)}{\cos\left(-x\right)}$

$=\frac{-\cdot-\sin\left(x\right)}{\cos\left(x\right)}$

$=\frac{\sin\left(x\right)}{\cos\left(x\right)}$

$=\tan\left(x\right)$

Hence final answer is

$\frac{\cos\left(2x\right)-\cos\left(4x\right)}{\sin\left(2x\right)+\sin\left(4x\right)}=\tan\left(x\right)$

6 0

3 years ago

Simplify and Explain Sum: -7 + 9 - 3 * 6 -(5 + 9) ÷ 7

Makovka662 [10]

Answer:

-18

Step-by-step explanation:

Multiply the numbers

3*6

-7 + 9 - 18 - (5 + 9) ÷ 7

Add the numbers

5+9

-7 + 9 - 18 - 14 ÷ 7

Divide the numbers

14÷ 7

-7 + 9 - 18 - 2

Calculate the sum or difference

-18

Answer = -18

8 0

3 years ago

Jenny and Hanan are collecting clothes for a clothing drive. Hanan collected 1/2 as many bags of clothes as Jenny did. If Jenny

kozerog [31]

Answer:

3/8

Step-by-step explanation:

3/4 is the same as 6/8.

6/8 divided by 2 is 3/8.

6 0

3 years ago

Which equation is the equation of the line, in point-slope form, that has a slope of 2 and passes through the point (-8, 1)?

lutik1710 [3]

Answer:

y=2x+17

Step-by-step explanation:

y-y1=m(x-x1)

y-1=2(x-(-8))

y-1=2(x+8)

y=2x+16+1

y=2x+17

5 0

2 years ago

Can you help me with these please 30 points

garik1379 [7]

Answer: 1. densities

2. i don’t have the passage but i assume it to be A or D

3. it will sink so A

Step-by-step explanation:

the density must be lower than 1 g/cm3 for it to float

3 0

3 years ago

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