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3 years ago

What is 7 divided by 2578

Mathematics

1 answer:

Drupady [299]3 years ago

5 0

Answer:

368.28571428571429

Step-by-step explanation:

Just round

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True or false. Tan^2 x = 1 - cos2x/ 1 + cos 2x

koban [17]

<u>ANSWER</u>

True

<u>EXPLANATION</u>

The given trigonometric equation is

$\tan^{2} (x) = \frac{1 - \cos(2x) }{1 + \cos(2x) }$

Recall the double angle identity:

$\cos(2x) = \cos^{2} x - \sin^{2}x$

We apply this identity to obtain:

$\tan^{2} (x) = \frac{1 - (\cos^{2} x - \sin^{2}x) }{1 + (\cos^{2} x - \sin^{2}x) }$

We maintain the LHS and simplify the RHS to see whether they are equal.

Expand the parenthesis

$\tan^{2} (x) = \frac{1 - \cos^{2} x + \sin^{2}x }{1 + \cos^{2} x - \sin^{2}x}$

$\implies\tan^{2} (x) = \frac{1 - \cos^{2} x + \sin^{2}x }{1 - \sin^{2}x + \cos^{2} x }$

Recall that:

$1 - \sin^{2}x = \cos^{2}x$

$1 - \cos^{2}x = \sin^{2}x$

We apply these identities to get:

$\implies\tan^{2} (x) = \frac{\sin^{2}x + \sin^{2}x }{\cos^{2} x + \cos^{2} x }$

$\implies\tan^{2} (x) = \frac{2\sin^{2}x }{ 2\cos^{2} x }$

$\implies\tan^{2} (x) = \frac{\sin^{2}x }{ \cos^{2} x }$

$\implies \tan^{2} (x) =( \frac{\sin x }{ \cos x })^{2}$

Also

$\frac{\sin x }{ \cos x } = \tan(x)$

$\implies \tan^{2} (x) =( \tan x )^{2}$

$\implies \tan^{2} (x) =\tan^{2} (x)$

Therefore the correct answer is True

5 0

4 years ago

Determine the roots of the following function of the quadratic formula:<br> x^2-5x-4=0

noname [10]

Answer:

4,1

Step-by-step explanation:

(x-4)(x-1)

x=4 or x=1

7 0

3 years ago

Read 2 more answers

Michael is making a backdrop for the school play.He bought 4 rolls of material to use.He used 27 square feet of material for the

charle [14.2K]

27+5= 32 total square feet.
32/4= 8 square feet per roll.

7 0

3 years ago

Mary plants roseas in 1/4 of her garden. She also plants some tulips in her garden. She has 1/12 of the garden left to plant mor

zysi [14]

Answer:the fraction of Mary's garden that has tulips is 2/3

Step-by-step explanation:

Let x represent the full area if Mary's garden.

Mary plants roses in 1/4 of her garden. This means that the portion of the garden on which she planted roses would be 1/4 × x = x/4

She also plants some tulips in her garden. She has 1/12 of the garden left to plant more flowers. This means that the portion if the garden that she has left to plant more flowers would be 1/12 × x = x/12

The portion of the garden on which she planted tulips would be

x - (x/4 + x/12) = x - (3x + x)/12 = x - 4x/12

x - x/3 = (3x - x)/3 = 2x/3

Therefore, the fraction of Mary's garden that has tulips would be

(2x/3) /x = 2/3

7 0

4 years ago

I promise it's not a quiz but it is for an assignment and I'm confused

NISA [10]

Hey there!

<h2>ANSWER: $p=0$ </h2><h2>EXPLANATION:</h2>

Every factor must be equal to zero. The terms should also be equal to 0.

$p^3*q^2(\frac{p^4*q^n*r^3}{r^-4} =p^7q^5r^7\\p=0(ANSWER)$

Hope this helps!

$\text {-TestedHyperr}$

3 0

3 years ago

Read 2 more answers