Answers
Answer:
Let [tex]\left(1+\frac{1}{\tan^{2}A} \right)\cdot \left(1+\frac{1}{\cot^{2}A} \right)[/tex], we proceed to prove the trigonometric expression by trigonometric identity:
1) [tex]\left(1+\frac{1}{\tan^{2}A} \right)\cdot \left(1+\frac{1}{\cot^{2}A} \right)[/tex] Given
2) [tex]\left(1+\frac{\cos^{2}A}{\sin^{2}A} \right)\cdot \left(1+\frac{\sin^{2}A}{\cos^{2}A} \right)[/tex] [tex]\tan A = \frac{1}{\cot A} = \frac{\sin A}{\cos A}[/tex]
3) [tex]\left(\frac{\sin^{2}A+\cos^{2}A}{\sin^{2}A} \right)\cdot \left(\frac{\cos^{2}A+\sin^{2}A}{\cos^{2}A} \right)[/tex]
4) [tex]\left(\frac{1}{\sin^{2}A} \right)\cdot \left(\frac{1}{\cos^{2}A} \right)[/tex] [tex]\sin^{2}A+\cos^{2}A = 1[/tex]
5) [tex]\frac{1}{\sin^{2}A\cdot \cos^{2}A}[/tex]
6) [tex]\frac{1}{\sin^{2}A\cdot (1-\sin^{2}A)}[/tex] [tex]\sin^{2}A+\cos^{2}A = 1[/tex]
7) [tex]\frac{1}{\sin^{2}A-\sin^{4}A}[/tex] Result
Step-by-step explanation:
Let [tex]\left(1+\frac{1}{\tan^{2}A} \right)\cdot \left(1+\frac{1}{\cot^{2}A} \right)[/tex], we proceed to prove the trigonometric expression by trigonometric identity:
1) [tex]\left(1+\frac{1}{\tan^{2}A} \right)\cdot \left(1+\frac{1}{\cot^{2}A} \right)[/tex] Given
2) [tex]\left(1+\frac{\cos^{2}A}{\sin^{2}A} \right)\cdot \left(1+\frac{\sin^{2}A}{\cos^{2}A} \right)[/tex] [tex]\tan A = \frac{1}{\cot A} = \frac{\sin A}{\cos A}[/tex]
3) [tex]\left(\frac{\sin^{2}A+\cos^{2}A}{\sin^{2}A} \right)\cdot \left(\frac{\cos^{2}A+\sin^{2}A}{\cos^{2}A} \right)[/tex]
4) [tex]\left(\frac{1}{\sin^{2}A} \right)\cdot \left(\frac{1}{\cos^{2}A} \right)[/tex] [tex]\sin^{2}A+\cos^{2}A = 1[/tex]
5) [tex]\frac{1}{\sin^{2}A\cdot \cos^{2}A}[/tex]
6) [tex]\frac{1}{\sin^{2}A\cdot (1-\sin^{2}A)}[/tex] [tex]\sin^{2}A+\cos^{2}A = 1[/tex]
7) [tex]\frac{1}{\sin^{2}A-\sin^{4}A}[/tex] Result
Related Questions
answer if you want to
Answers
Answer:
Surface area= 124 in^2
Step-by-step explanation:
What is the value of the expression below?
(16^2)^1/4
A. 4
B. 8
C. 16
D. 2.
Answers
4444444444444444444 4444444
Answer:
4
Step-by-step explanation:
A P E X:L E A R N I N G
Mateo and Logan finished 65% of their math homework. If it has 20 problems, how many problems have they done?
Mr. Philps made 1 gallon of fruit punch for his class party. If he has 27 students, and each of them will drink 1 cup, will he have enough
Answers
Answer:
1st question: 13 questions
2nd question: Mr.Philps will not have enough
Step-by-step explanation:
Mateo and Logan finished 65% of their math homework. If it has 20 problems, how many problems have they done?
20 x 0.65 = 13
Mr. Philps made 1 gallon of fruit punch for his class party. If he has 27 students, and each of them will drink 1 cup, will he have enough?
1 gallon = 16 cups
27 students x 1 cup each = 27 cups
27 is greater than 16, so no, he will not have enough.
Please help me I will mark brainiest
Answers
Answer:
12 2/3
Step-by-step explanation:
look up the site called "math papa" and it will solve any equation with the steps. hope this helps
Answer:
12 [tex]\frac{2}{3}[/tex]
Step-by-step explanation:
[tex]3\frac{38}{(2+3^{2} )}-2[/tex]
[tex]3(\frac{38}{9})[/tex]
cancel common factor of 3
[tex](\frac{38}{3})[/tex]
simplify
12 [tex]\frac{2}{3}[/tex]
CAN AN EXPERT< ACE< MODERATOR OR GENIUS HELPP ME WITT THIS PLSSSSSSSSSSSSSS!!!!!!!!!!!!!!!!!!!!!!!!
Answers
Answer:
3x^2-3x+8-9/x+1
Step-by-step explanation:
Which equation represents a line which is perpendicular to the line 6x + y = 1?
Answers
The equation of line perpendicular to the line A is y = ( 1/6 )x + b
What is an Equation of a line?The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept
And y - y₁ = m ( x - x₁ )
y = y-coordinate of second point
y₁ = y-coordinate of point one
m = slope
x = x-coordinate of second point
x₁ = x-coordinate of point one
The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given data ,
Let the equation of line be represented as A
Now , the value of A is
6x + y = 1
On simplifying , we get
Subtracting 6x on both sides , we get
y = -6x + 1
Now we can see that the slope of the given line is -6.
The slope of a line perpendicular to this line will be the negative reciprocal of -6, which is 1/6.
Therefore, an equation of a line that is perpendicular to the line 6x + y = 1 is of the form:
y = ( 1/6 )x + b
Hence , the equation of line is y = ( 1/6 )x + b
To learn more about equation of line click :
https://brainly.com/question/14200719
#SPJ2
Ninety percent of the seats of a flight are filled. There are 240 seats. How many seats are filled?
Answers
Answer:
216 seats are filled
Step-by-step explanation:
240-90%=24
24+216=240
thats how you know 216 is correct
Find the length of XY
Answers
Answer:
the length of xy =6ft
I hope this help
Find the difference. *
-3 - (-9)
Answers
Answer:
-3 - (-9)
As we have '-' sign outside bracket, the sign inside the brackert will become opposite, thus we will have,
⇒ -3+9
⇒ 6
-3 - (-9) change the signs -3+9 then calculate which gives your answer 6
Help! 30 Points! Find x
Answers
Answer:
do math
Step-by-step explanation:
De student.cms.k12.nc.us bookmarks
Tgbhyuj190[:Op = BubbleSheet
M Email Natoli, Micha..
Question 2
1 pts
BD bisects angle ABC.
The measure of angle ABD is (2x + 12) and the
measure of angle ABC is 44º. Find the value of x.
Answers
Answer:
x = 5
Step-by-step explanation:
Given that BD bisects <ABC, it means that <ABC is divided into two equal angles, which are <ABD and <CBD.This implies that:
m<ABD = m<CBD. Therefore:
2(m<ABD) = m<ABC
Substitute:
2(2x + 12) = 44
Solve for x.
4x + 24 = 44 (distributive property)
4x + 24 - 24 = 44 - 24 (substraction property of equality)
4x = 20
4x/4 = 20/4 (division property of equality)
x = 5
algibric equations that equal 13
Answers
Which of the coordinates is equal to cos(50)
Answers
Answer:
you need to upload a pic
Step-by-step explanation:
.
Answer:
x-coordinate of point A
Step-by-step explanation: Khan Academy
3x³ + 15x² write. factorize
Answers
Answer:
3x³ + 15x²
taking common 3x²
3x²(x+3) is your answer
Answer :
3x²(x+3) is the answer
Round 123,788 to the nearest thousand
Answers
Answer:
124,000
Step-by-step explanation:
What are the answers ?
Answers
Answer:
All of the answers if you consider the dashes both negative and positive, but if they are negative then its the last 3 only.
Step-by-step explanation:
A prop for the theater club's play is constructed as a cone topped with a half-sphere. What is the volume of the cone part of the prop? Round your answer to the nearest tenth of a cubic inch.
(note: use 3.14 to approximate pi)
A. 378 in³
B. 1,134 in³
C. 1,187 in³
D. 3,561 in³
Answers
Answer:
V≈296.88
Step-by-step explanation:
V=πr2h
3=π·4.52·14
3≈296.88051
Which pair of terms are NOT like terms?
A) 2mn and mn^2
B) 3p^2q and -p^2q
C) -x and 3x
D) 1 and -1
Answers
Answer:
A) 2mn and mn^2
that's my final answer
1. Find the lengths of the sides of each triangle.
2. Explain why the Triangles are not congruent.
Answers
Answer:
.....?....................
(4 x 10')(5.2 x 10-3)
Answers
Answer:
I think it's 1456
Step-by-step explanation:
first, you have to calculate what in the parenthesis
(4*10)=40
(5.2*10-3) =(5.2*7)
5.2*7=36.4
so after you multiply 40*36.4
which equals 1456
FIRST-PERSON TO HELP GETS 70 POINTS!!!! Can I get some help, please? DUE IN A FEW MINUTES!!!
Answers
Answer:
Area = 20 in^2
Step-by-step explanation: 20/4=5 100/5=20
Answer:
20 inches squared
Step-by-step explanation:
20 ÷ 4 = 5
100÷5 = 20
400 is 75% of what number?
Answers
Answer:
534
Step-by-step explanation:
1.
Solve for x=
35, 103
Answers
Given:
A figure of a circle with secants intersecting inside the circle.
To find:
The value of x.
Solution:
According to the intersection theorem of secants, if two secants intersect each other inside the circle, then the angle on the intersection is the average of the intercepted arcs.
Using the intersection theorem of secants, we get
[tex]x^\circ=\dfrac{1}{2}(35^\circ+103^\circ)[/tex]
[tex]x^\circ=\dfrac{1}{2}(138^\circ)[/tex]
[tex]x^\circ=69^\circ[/tex]
[tex]x=69[/tex]
Therefore, the value of x is 69.
Water and oil are mixed in the ratio 3:5. Find the density of the mixture if the density of water is 1g/cm ^3 and that of oil is 0.8g/cm^3
Answers
Answer:
Density of mixture is 7.0 g/[tex]cm^{3}[/tex].
Step-by-step explanation:
Density of mixture = density of water in the mixture + density of oil in the mixture
Given: water and oil were mixed in a ratio 3:5
density of water is 1.0 g/[tex]cm^{3}[/tex] and that of oil is 0.8 g/[tex]cm^{3}[/tex].
Then,
density of water in the mixture = 3 x 1.0 g/[tex]cm^{3}[/tex]
= 3.0 g/[tex]cm^{3}[/tex]
Density of the volume of water in the mixture is 3.0 g/[tex]cm^{3}[/tex].
density of oil in the mixture = 5 x 0.8 g/[tex]cm^{3}[/tex]
= 4.0 g/[tex]cm^{3}[/tex]
Density of oil in the mixture is 3.0 g/[tex]cm^{3}[/tex].
So that,
Density of mixture = 3.0 + 4.0
= 7.0
Density of mixture is 7.0 g/[tex]cm^{3}[/tex].
She borrows $5,500 for 3 years at 4%?
How much interest does she have to pay for the 3 years of the loan?
Answers
Answer:
660 dollars
Hope this helped!!
Answer:
660
Step-by-step explanation:
PRT
100
5500*4*3
100
55*4*3
55*12
660$
Joey went bowling at the Frank's Bowling Center. Shoe rental was $1.25 and games
were $1.50 each. If he spent $8.75 on shoe rental and games, how many games did
he bowl?
HELP PLS
Answers
Answer:
5 games
Step-by-step explanation:
1.50x + 1.25 = 8.75
1.50x = 7.50
x = 5
12A+14+2B+6-3C+2A-3B+1=
Answers
Answer: 14a - b - 3c + 21
Answer:
31
Step-by-step explanation:
Do you guys know the answers to these?
Answers
Answer:
The first one is 0 slope.
The second one undefined slope.
Step-by-step explanation:
I hope it helps you!!!:-)
Can anyone give me the answer and tell me how you did it?
Mary sells fruit with four of her friends. They want to make enough money so that, after splitting the earnings evenly,each person earns $30.
Solve the equation for this problem.
After you find the answer you need to find out if its cents, dollars,partners,or fruit
Thank you!
Answers
Answer:
the answer is 150
Step-by-step explanation:
can someone help me on this one!
Answers
Answer: Pay less sells the lowest price per marker.
Step-by-step explanation:
To get to one marker divide 10 by 10 and do same to other side. EX. 10/10=1, 2.50/10=0.25
To get to one marker divide 20 by 20 and do same to other side. EX. 20/20=1, 4.00/20= 0.2