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3 years ago

List the common factors of the numbers 9 and 18

Mathematics

1 answer:

Alex Ar [27]3 years ago

5 0

Answer:

1,3,9

Gcf: 9

Step-by-step explanation:

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Verify each trigonometric equation by substituting identities to match the right hand side of the equation to the left hand side

lorasvet [3.4K]

Answer:

Step-by-step explanation:

cot x sec⁴ x = cot x+2 tan x +tan³x

L.H.S = cot x sec⁴x

=cot x (sec²x)²

=cot x (1+tan²x)² [ ∵ sec²x=1+tan²x]

= cot x(1+ 2 tan²x +tan⁴x)

=cot x+ 2 cot x tan²x+cot x tan⁴x

=cot x +2 tan x + tan³x [ ∵cot x tan x $=\frac{ \textrm{tan x }}{\textrm{tan x}}$ =1]

=R.H.S

(sin x)(tan x cos x - cot x cos x)=1-2 cos²x

L.H.S =(sin x)(tan x cos x - cot x cos x)

= sin x tan x cos x - sin x cot x cos x

$=\textrm{sin x cos x }\times\frac{\textrm{sin x}}{\textrm{cos x} } - \textrm{sinx}\times\frac{\textrm{cos x}}{\textrm{sin x}}\times \textrm{cos x}$

= sin²x -cos²x

=1-cos²x-cos²x

=1-2 cos²x

=R.H.S

1+ sec²x sin²x =sec²x

L.H.S =1+ sec²x sin²x

= $1+\frac{{sin^2x}}{cos^2x}$ [ $\textrm{sec x}=\frac{1}{\textrm{cos x}}$ ]

=1+tan²x $[\frac{\textrm{sin x}}{\textrm{cos x}} = \textrm{tan x}]$

=sec²x

=R.H.S

$\frac{\textrm{sinx}}{\textrm{1-cos x}} +\frac{\textrm{sinx}}{\textrm{1+cos x}} = \textrm{2 csc x}$

L.H.S= $\frac{\textrm{sinx}}{\textrm{1-cos x}} +\frac{\textrm{sinx}}{\textrm{1+cos x}}$

$=\frac{\textrm{sinx(1+cos x)+{\textrm{sinx(1-cos x)}}}}{\textrm{(1-cos x)\textrm{(1+cos x})}}$

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

$=\frac{\textrm{2sin x}}{sin^2 x}$

= 2 csc x

= R.H.S

-tan²x + sec²x=1

L.H.S=-tan²x + sec²x

= sec²x-tan²x

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

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

$=\frac{cos^2x}{cos^2x}$

8 0

3 years ago

What is the product of 1 2/3 and -3 1/2?

svp [43]

-5.83 the 3 is repeated

6 0

3 years ago

Read 2 more answers

Find the next three terms of the sequence?

forsale [732]

Answer:

The correct answer is D. -2,592, -15,552, -93,312

Step-by-step explanation:

Each of the terms is the previous term multiplied by 6. You can find this by taking any term and dividing it by the one before it. The answer will always be 6.

-72/-12 = 6

-12/-2 = 6

So, in order to find the next 3, we take the last term and multiply it by 6.

-432 * 6 = -2,592

-2,592 * 6 = -15,552

-15,552 * 6 = -93,312

4 0

3 years ago

If California has 6,480 residents and each resident produces about 182 cubic feet of garbage per year, how long can the landfill

svetoff [14.1K]

Answer:

Step-by-step explanation:

Just 4 people per year would overflow the landfill, how would it survive 6480 people?

5 0

3 years ago

Solve this equation. (4w-28)+(11w+13)=180

Kitty [74]

Solve for w by simplifying both sides of the equation, then isolating the variable.

w=13

7 0

3 years ago