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Leokris [45]
3 years ago
12

Please HELPPPPPP!!!!!!!!

Mathematics
1 answer:
ANTONII [103]3 years ago
6 0

Answer: 60

Step-by-step explanation:

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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}

7 0
4 years ago
Need help please (: Show how to apply the order of operation rules as you simplify the following expression
Gwar [14]

Apply in this order Ι-15Ι - 33÷11= 15-3=12


Good luck!!!


7 0
3 years ago
I need help with this geometry question, matching the right ones to each other.
8090 [49]

The transformations and their respective descriptions are:

A. (x, y) ⇒ (3x, y) implies horizontal stretch by a scale factor of 3

B. (x, y) ⇒ (x+3, y) implies translation 3 units right

C. (x, y) ⇒ (x, 3y) implies vertical stretch by a factor of 3

D. (x, y) ⇒ (x, y+3) implies  implies translation 3 units up

E. (x, y) ⇒ (3x, 3y) implies dilation with a scale factor 3

<h3>What is Translation?</h3>

Translation is an algebraic transformation of a shape by moving the vertices some units along the x or y axis.

When a shape is translated it may move to a new position depending on the orientation of the translation.

Analysis:

For A, the x coordinate was transformed three times its initial value stretching it horizontally.

For B, the x coordinate moved 3 units further away from its initial value making the new value x+3 and y remaining the same.

For C, the y coordinated was transformed to a value three times what it was, making it to be stretched vertically, since the y-axis is a vertical axis.

For D, the y coordinate was moves 3 units away from its initial position making it to be translated up, since 3 is positive.

For E, both coordinates were stretched 3 units as much as their original value making the shape to dilate.

Learn more about linear transformations: brainly.com/question/13005179

#SPJ1

3 0
2 years ago
Q6: Women's heights have a mean of 63.6 inches and a standard deviation
Goryan [66]

Answer:

A

Step-by-step explanation:

Hopefully this helps

3 0
3 years ago
You made two deposits to your bank account this month. One deposit was $17.92, and the second deposit was $15.33. Your balance a
MArishka [77]
72.31 = 17.92+15.33+x
x = 39.06
3 0
3 years ago
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