Verify the identity. (Simplify at each step.) tan x + cot y tan y + cot X tan x cot y tan X + cot Y tan x cot y cot tan Itan y cot X tan y cot x tan y (cot x_ cot X tany tan y cot X cot X cot X tan y + cot X tan Y tan y

Answers

Answer 1

the final simplified form of the expression is cot X + cot y + cot Y + tan y, which verifies the given identity.

Starting with the given expression: tan x + cot y tan y + cot X tan x cot y tan X + cot Y tan x cot y cot tan Itan y cot X tan y cot x tan y (cot x_ cot X tany tan y cot X cot X cot X tan y + cot X tan Y tan y

Rearranging the terms and grouping like terms: tan x + cot x cot X + cot y (tan y + cot y) + cot X (tan x + cot X) + cot Y (tan x + cot Y) + tan y

Simplifying cot x cot X + cot y (tan y + cot y) + cot X (tan x + cot X) + cot Y (tan x + cot Y):

cot x cot X can be simplified to 1 using the identity cot x cot X = 1.

tan y + cot y can be simplified to cot y using the identity tan y + cot y = cot y.

tan x + cot X can be left as it is.

cot Y (tan x + cot Y) can be simplified to cot Y using the identity cot Y (tan x + cot Y) = cot Y.

The remaining term tan y stays as it is.

Combining the simplified terms: cot X + cot y + cot Y + tan y.

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Related Questions

Factor the expression. 48 + 16x

correct answers get brainiest and 5 stars, wrong answers reported

Answers

8(6+2x)

hope that helps^^

I believe the answer is 16(3+x) or 8(2+3x)

When I...
square my number ...
add three ...
divide by two and
add one
I get seven.
My number is:

Answers

3

3^2 = 9
9+3=12
12/2=6
6+1=7

17. Convert 37/6 to a mixed number.
A. 55/6
B. 6576
C. 6/6
D. 62/3

Answers

Answer:

6 1/6.

Step-by-step explanation:

That would be 6 1/6. Because 37/6 = 6 remainder 1, which is 1/6, so 6 1/6.

Find the perimeter of a rectangle whose length is 25cm and breadth is 18 cm​

Answers

Answer:

86 cm is the perimeter

Step-by-step explanation:

y= 5x - 7
-3x - 2y = -12

Solve each system of equations using the substitution method

Give the solution in (x,y) form​

Answers

Point form: (2,3) and x=2 and y=3

(cosec a + 1)*(1 - sin a)= cos a* cot a

Answers

Answer:

See proof below

Step-by-step explanation:

Given the equation, we are to prove that it is true

(cosec a + 1)*(1 - sin a)= cos a* cot a

From LHS

(cosec a + 1)*(1 - sin a)=

Expand

cosec a - cosecasina + 1 - sina

Since cosec a = 1/sina

1/sina - (1/sina)sina + 1 - sina

1/sina - 1 + 1 - sina

1/sin a - sina

Find the LCM

1-(sin^2a)/sina

cos^2a/sina

cosa * cosa/sina

cos a * cot a (which gives the RHS)

Cindy and Tim went to the state fair. They paid a $4.50 entry and $1.25 per ride ticket

Find the slope, y-intercept and write the equation for this Linear Relationship. ​

Answers

Answer:

Write more compactly about functional relationships such as, “If you sell x tickets, then your profit will be ... Jason goes to an amusement park where he pays $8 admission and $2 per ride.

solve for the missing side,x

Answers

Answer:

7.44

Step-by-step explanation:

With reference angle 28°

perpendicular (p) = x

base (b) = 14 cm

Now

Tan 28° = p / b

0.532 = x / 14

x = 7.44

Hope it will help :)

Answer:

Step-by-step explanation:

Select all the points that are on the graph of the function defined by y = 2x + 3
a. (-4,3)
b. (-1,1)
C. (0,0)
d. (2,7)
e. (3,9)
f. (3,12)
g. (4.5, 12)​

Answers

Answer:

b, d, e, g are the points

The coordinates (-, 1), (2, 7), (3, 9) and (4.5, 12) are the points that are on the graph of the function. Therefore, the options B, D, E and G are the correct answers.

What is the function?

Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.

The given function is y=2x+3.

A) Substitute (x, y)=(-4, 3) in y=2x+3, we get

3=2(-4)+3

3≠-5

B) Substitute (x, y)=(-1, 1) in y=2x+3, we get

1=2(-1)+3

1=1

C) Substitute (x, y)=(0, 0) in y=2x+3, we get

0≠3

D) Substitute (x, y)=(2, 7) in y=2x+3, we get

7=2(2)+3

7=7

E) Substitute (x, y)=(3, 9) in y=2x+3, we get

9=2(3)+3

9=9

F) Substitute (x, y)=(3 12) in y=2x+3, we get

12=2(3)+3

12≠9

G) Substitute (x, y)=(4.5, 12) in y=2x+3, we get

12=2(4.5)+3

12=12

Therefore, the options B, D, E and G are the correct answers.

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Simplify the expression below.

−9×(−11)×(−4)

Answers

Step-by-step explanation:

=-8×(-11)×(-4)

=22×(-4)

= -88

hope it helps.

Answer: −9×(−11)×(−4)=−396

Step-by-step explanation:

Find the slope of any line parallel to the line through the given points (3,2),(3,1)

Answers

Answer:

the qoustion is not correct

PLS HELP 5TH GRADE MATH GIVING BRAINLIEST TO CORRECT ANSWER

Answers

9514 1404 393

Answer:

  line A

Step-by-step explanation:

The "+6" in the equation is the y-intercept. That is the point where the graph crosses the y-axis. Line A has a y-intercept of 6, so that is the graph of the equation.

Convert to equation: four times a number increased by 8 is 24 ​

Answers

Answer:

4*4

Step-by-step explanation:

since 4 times 4 is 16 then if you add 8 its 24

(1) Find values of x and y for which ABCD must be a parallelogram. The diagram is not to
scale.

Answers

Answer:

option D

Step-by-step explanation:

option D is the correct answer .

plz mark my answer as brainlist.

Henrik is buying a television it has a 38 inch screen (this is the diagonal measurement). If it is 18 inches tall, how wide is the screen?

Answers

Answer:

18 inches

Step-by-step explanation:

In geometry the shorter side is the width.

Therefore 18 inches is the width.

(I didn't really get this question)

What is the inequality for -8x>48

Answers

Answer: x<−6

Step-by-step explanation:

The length of a rectangle is 4 meters less than twice its width. The are of a rectangle is 70m^2. Find the dimensions of the rectangle.

Answers

Answer:

The length is 7 m

The width is 10 m

Step-by-step explanation:

length = x

width = 2x - 4

length * width = area

It is given that the area is 70 [tex]m^{2}[/tex]

From there

x * (2x - 4) = 70

[tex]2x^{2}[/tex] - 4x = 70

[tex]2x^{2}[/tex] - 4x - 70 = 0

[tex]x^{2}[/tex] - 2x - 35 = 0

Now we have a quadratic equation, which is  a[tex]x^{2}[/tex] + bx + c = 0, where a [tex]\neq[/tex] 0

In this equation a = 1, b = -2 and c = -35

Discriminant (D) formula is b² - 4ac

D = [tex]-2^{2}[/tex]  - 4 * 1 * (-35) = 144 > 0

This discriminant is more than 0, so there are two possible x

Their formulas are  [tex]\frac{- b - \sqrt{D} }{2a}[/tex] and [tex]\frac{- b + \sqrt{D} }{2a}[/tex]

[tex]x_{1}[/tex] =  [tex]\frac{- (-2) - \sqrt{144} }{2}[/tex] = -5 < 0 (the length of the rectangle has to be more than 0, so we don't use this x)

[tex]x_{2}[/tex] = [tex]\frac{- (-2) + \sqrt{144} }{2}[/tex] = 7 > 0 (this one is right)

Calculating the dimensions

length = x = 7 (m)

width = 2x - 4 = 2 * 7 - 4 = 10 (m)

Find and reduce -4/7 x 2/3

What is the answer to this?

Answers

Answer:

-8/21

Step-by-step explanation:

The answer to your asked question is -8/21

Write the equation 6x – 3y = 9 in slope-
intercept form.

Answers

the answer to this question is y=2x-3

The Answer is is y=2x-3

Step-by-step explanation:

please help, first person with the right answer will be rewarded!!​

Answers

Suhana suhana suhana suha
step by step explanation:

5. Simplify the expression.
-3+5n+14n+7

Answers

19n+4 is the answer to your question
Your answer would be 19n+4

1. Write a rule for the transformation performed if Q(3 , 5) translates to Q’( 3, 18).


2. Consider the point Q(4,-3) which is translated to (3,2). What would the pre-image of P(1, 2) be under the same translation?


Function Notation.

Find the range values (y-values) for function f(x)=2x^2-4 when the domain (x-value) is (-2,0,1)

f(-2)=2(-2)^2-4= ?


f(0)=2(0)^2-4= ?


f(1)=2(1)^2-4= ?

Answers

Answer:

1. vertical translation (the point goes straight up)

2. P'(0,7) (the translation was up five units and over 1 unit)

3. f(-2)=2(-2)^2-4= (all y values are 4) (0,4)

f(0)=2(0)^2-4= (all y values are -4) (0,-4)

f(1)=2(1)^2-4= (all y values are -2) (0,-2)

Mariana wears her winter coat when the temperature is colder than -4^{\circ}\text{C}−4 ∘ Cminus, 4, degrees, start text, C, end text. Write an inequality that is true only for temperatures (t)(t)left parenthesis, t, right parenthesis at which Mariana wears her winter coat.

Answers

Answer:

T < - 4°C

Step-by-step explanation:

Given that Mariana wears her coat only when temperature is colder than - 4°C

Recall that lower temperature values indicate higher degree of coldness ;

Hence, Mariana will only wear her coat when temperature values are lesser than - 4°C ; this means that the temperature at that period is colder than - 4°C.

Hence, the inequality expression which is only true for temperatures when Mariana wears her coat can be written as :

Temperature = T

T < - 4°C

Answer:

t < -4

Step-by-step explanation:

Decide if the ansewer to 7/5x11 is less than greater than or equal to 11. A.greater than B.less than C.equal to

Answers

Answer:

The answer to 7/5x11 is 15.4, so A. Greater than.

Step-by-step explanation:

7/5= 1.4, 1.4x11=15.4.

How many solutions does this equation have?
10n + 8 = 3 + 10n

Answers

There are no values of x that make the equation true.
Answer: No Solution
The equation has 2 solutions: -0.8 and -0.3.

Explanation:

10n + 8 = 3 + 10n

10n+8 = 0 ............. (1)
3+10n = 0 ............. (2)

(1):
10n+8 = 0

10n = -8

n = -8/10 or -0.8

(2):
3+10n = 0

10n = -3

n = -3/10 or -0.3

List the domain and range of the relation. {(7,-8), (4,4), (0,-8), (4,1),(7,8)}

Answers

Answer:

Domain: {7, 4, 0} Range: {-8, 4, 1, 8}

Step-by-step explanation:

the domain is just the x values and the range is just the y values when just a list of cordinates are given.

Alternate interior and alternate exterior angles can be congruent

True or false

Plss answer

Answers

Answer:

it's false

Step-by-step explanation:

hope it's correct

What's the circumference of a circle with a radius of 22 inches

no round

Answers

Answer:

22π

Step-by-step explanation:

Ok so the equation for the circumference of a circle is diameter * pi, so you have diameter = 22 and you can plug that into the equation:

diameter * pi --> 22 * pi = 22π

1
How many cubes with side lengths of
3
cm does it take to fill the prism?
CON
cm
coln
cm
1 cm

Answers

Answer:

can you explain the question?

Step-by-step explanation:

On coordinate plane point located at (- 1, - 2) and point K located at (8, 10) What is the distance, in units from point to point

Answers

Answer:

The answer would be 17

Step-by-step explanation:

Answer:

i belive your answer would be 8.5 units if i did the math correctly, im very sorry if thats wrong.

I hope this helps! :)

Other Questions
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What does the prefix "meta" under the word Metadata means? A.) set of codes B.) group of data C.) classifications of data or concept D.) underlying concept or explanation 7.) What do you call a type of metadata wherein we have to be able to connect this back to the source data sets when we provide information to the end- user? A.) Extraction C.) Operational B.) End-user D.) Transformation 8.) Which of the following is not a specialized tool? A.) Frequency Counter C.) Logic Analyzer B.) Function Generator D.) Spectrum Analyzer 9.) What do you call a combination of hardware and software design with custom printed circuit boards (PCB) that are assembled into a fully functional prototype? A.) debugging B.) inspection C.) prototyping D.) testing 10.) What do you call a specialized tool which is used in detecting the interference in the cables and electronic components? A.) Frequency Counter C.) Spectrum Analyzer B.) Function Generator 11.) Which of the following is generator? 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Consider the equation below. f(x)=4x3+9x254x+4(a) Find the intervals on which f is increasing.(b) Find the local minimum and maximum values of f local minimum value local maximum value(c) Find the inflection point. (x, y) = Find the interval on which f is concave up. Find the interval on which f is concave down A nuclear power plant draws 3.1106 L/min of cooling water from the ocean.If the water is drawn in through two parallel, 3.4-m-diameter pipes, what is the water speed in each pipe? identify the three distinct processes of urine formation in the kidney. 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Note that in these problems the equations are not of the form y' = ay+b, and the behavior of their solutions is somewhat more complicated than for the equations in the text. G 10. y' = y(y 2)2