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3 years ago

HEALTH B. Write T if the statement is true; and write F if the statement is false.

Mathematics

1 answer:

KIM [24]3 years ago

5 0

Answer:

1.T

3.T

4.F

5.T

Step-by-step explanation

hope this helps

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Prove that if sin (2 + y) = 3 sin (x - y), then tan x = 2 tany.

nignag [31]

Answer:

The proof is given below.

Step-by-step explanation:

Given: ( the correct question and ans is as follow )

sin (x + y) = 3sin ( x - y)

To Prove

tan x = 2 tan y

Proof:

$\sin (x+y) = 3\sin (x-y)$

Using the identities

$\sin (A+B) = \sin A.\cos B + \cos A.\sin B\\and\\\sin (A-B) = \sin A.\cos B - \cos A.\sin B\\$

we get

$\sin x.\cos y + \cos x.\sin y = 3(\sin x.\cos y - \cos x.\sin y)\\\sin x.\cos y + \cos x.\sin y = 3\sin x.\cos y - 3\cos x.\sin y$

Now we will take sin x . cos y to the left hand side and cos x . sin y to the right hand side,we get

$3\sin x.\cos y - \sin x.\cos y = 3\cos x.\sin y +\cos x.\sin y\\2\sin x.\cos y =4\cos x.\sin y\\\sin x.\cos y =2\cos x.\sin y \ \textrm{4 divide by 2}\\ \frac{\sin x}{\cos x} =2\times \frac{\sin y}{\cos y} \\\textrm{we know identity }\\\frac{\sin x}{\cos x} = \tan x\\\frac{\sin y}{\cos y} = \tan y\\\therefore \tan x = 2\tan y\ ...............{PROVED}$

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3 years ago

What are two mixed numbers that have a sum of three

AveGali [126]

1 3/4 Plus 1 1/4. Hope this helps!

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3 years ago

WHAT IS 3+3=ANSWER NEEDED

VikaD [51]

Answer:

i think its a uhh a carrot?? no the answer is 6

Step-by-step explanation:

beetlejuice

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2 years ago

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3 years ago

A line with a slope of -6 passes through the point (-8, -3). What is its equation in point-

MAVERICK [17]

Answer:

y+3=-6(x+8)

Step-by-step explanation:

Because we already know a point and the slope, we can put our equation in the form y-y1=m(x-x1);

y+3=-6(x+8)

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2 years ago