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.
Learn more about identity tan here:
https://brainly.com/question/31270049
#SPJ11
What's the circumference of a circle with a radius of 22 inches
no round
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
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.
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)
What is the inequality for -8x>48
Answer: x<−6
Step-by-step explanation:
Find the slope of any line parallel to the line through the given points (3,2),(3,1)
Answer:
the qoustion is not correct
please help, first person with the right answer will be rewarded!!
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?
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)
solve for the missing side,x
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:
y= 5x - 7
-3x - 2y = -12
Solve each system of equations using the substitution method
Give the solution in (x,y) form
Point form: (2,3) and x=2 and y=3
(cosec a + 1)*(1 - sin a)= cos a* cot a
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)
List the domain and range of the relation. {(7,-8), (4,4), (0,-8), (4,1),(7,8)}
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.
Find and reduce -4/7 x 2/3
What is the answer to this?
Answer:
-8/21
Step-by-step explanation:
Simplify the expression below.
−9×(−11)×(−4)
Step-by-step explanation:
=-8×(-11)×(-4)
=22×(-4)
= -88
hope it helps.
Answer: −9×(−11)×(−4)=−396
Step-by-step explanation:
Alternate interior and alternate exterior angles can be congruent
True or false
Plss answer
Answer:
it's false
Step-by-step explanation:
hope it's correct
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.
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.
5. Simplify the expression.
-3+5n+14n+7
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)
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.
To learn more about the function visit:
https://brainly.com/question/28303908.
#SPJ2
Find the perimeter of a rectangle whose length is 25cm and breadth is 18 cm
Answer:
86 cm is the perimeter
Step-by-step explanation:
17. Convert 37/6 to a mixed number.
A. 55/6
B. 6576
C. 6/6
D. 62/3
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.
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.
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:
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
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! :)
PLS HELP 5TH GRADE MATH GIVING BRAINLIEST TO CORRECT ANSWER
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.
When I...
square my number ...
add three ...
divide by two and
add one
I get seven.
My number is:
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
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.
(1) Find values of x and y for which ABCD must be a parallelogram. The diagram is not to
scale.
Answer:
option D
Step-by-step explanation:
option D is the correct answer .
plz mark my answer as brainlist.
Write the equation 6x – 3y = 9 in slope-
intercept form.
The Answer is is y=2x-3
Step-by-step explanation:
How many solutions does this equation have?
10n + 8 = 3 + 10n
Factor the expression. 48 + 16x
correct answers get brainiest and 5 stars, wrong answers reported
8(6+2x)
hope that helps^^
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= ?
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)
Convert to equation: four times a number increased by 8 is 24
Answer:
4*4
Step-by-step explanation:
since 4 times 4 is 16 then if you add 8 its 24
1
How many cubes with side lengths of
3
cm does it take to fill the prism?
CON
cm
coln
cm
1 cm
Answer:
can you explain the question?
Step-by-step explanation: