Which of the following are identities? Check all that apply.
A. 1-tan^2 x/2tan x = 1/tan2x B. (Sing-cosx)^2 = 1 + sin2x C. Sin8x = 2sin 4xcos4x D. Sin x + sin5x/ cosx + cos5x
Answers
Answer:
a,c,d
Step-by-step explanation:
The identities which are true is A,C, and D.
What is a Trigonometric Identity?A trigonometric Identity is made of Trigonometric ratios, which help in solving Trigonometric Equations.
The identity
[tex]\rm= \dfrac{1- tan^2 x}{2tanx} \\\\\\\\rm= \dfrac{ cos^2 x - sin^2 x}{2 sin x cosx} \\\\\\= cos 2x/ sin 2x \\\\= \dfrac{ 1}{tan 2x}[/tex]
Similarly,
sin 8x = 2 sin4x cos 4x
And,
(sin x + sin 5x) / ( cos x +cos 5x) = tan 3x.
To know more about Trigonometric Identity
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Related Questions
y = x² – 4 y = 2r + 4
Solve algebraicallu for the solutions of equations below.
Answers
Step-by-step explanation:
Okay, the first step is to rewrite this equation in "vertex form." You can search that up but it's basically just (h/k).
y = ( x − 1) 2 + 3
Now, we are going to use the vertex form, "y = a (x - h)2 + k, to get the values of a, h, and k.
By using the form we get 1 for the value a, 1 for the value h, and 3 for the value k.
1 = a
1 = h
3 = k
Becuse the value of a is positive, the parabola opens up! (A parabola is the U shaped line in a graph, so that opens up.)
Now, we find the vertex (h,k)
which is (1,3)
Now we find the p from the vertex to the focus. (vertext the top, focus one of the points.)
Follow this formula to find the distance from the vertex to a focus by using this formula
1/4a.
Now we just gonna substitue 1 for a, since we know that 1 equals a above ^
1/4 * 1
Solving that, we got a nice little 1/4.
Next we find the focus
"Find the focus.
The focus of a parabola can be found by adding p to the y-coordinate k if the parabola opens up or down.
(h,k+p)
Substitute the known values of h, p, and k into the formula and simplify.
(1,134)
Find the axis of symmetry by finding the line that passes through the vertex and the focus.
x=1
Find the directrix.
y=114
Use the properties of the parabola to analyze and graph the parabola.
Direction: Opens Up
Vertex: (1,3)
Focus: (1,134)
Axis of Symmetry: x=1
Directrix: y=114
Select a few x values, and plug them into the equation to find the corresponding y values. The x values should be selected around the vertex.
xy−1704132437
Graph the parabola using its properties and the selected points.
Direction: Opens Up
Vertex: (1,3)
Focus: (1,134)
Axis of Symmetry: x=1
Directrix: y=114
xy−17041324"
(Sorry if this is long! But I hope you understand it better now! Thanks for the points!)
Which is the factored form of x(w – 1) + (W – 1)?
22 pts
Answers
Answer:
Solution given:
x(w – 1) + (W – 1)
distribute it:
xw-x+w-1
xw+w-x-1
take common from each term
w(x+1)-1(x+1)
take common again
(x+1)(w-1)
the factored form of x(w – 1) + (W – 1) is (x+1)(w-1).
HELP PLS!!!
Is a triangle with side lengths of 33 inches, 56
inches, and 65 inches a right triangle? Explain your
reasoning.
A. Not a right triangle because a² + b2 + c2
B. Not a right triangle because 33 + 56 + 65
C. Is a right triangle because a2 + b2 = c2
D. Is a right triangle because 33 + 56 = 65
Answers
If you do 33^2+56^2=65^2
33^2=1089 56^2=3136. Add that together equals 4225 and if you do 65^2 it equals 4225 which would mean it is a right triangle
Write an equation of the line with a slope of 0 and y -intercept of 5.
Answers
Answer:
Step-by-step explanation:
Learning Task 2: If a represents Arkin’s present age, how would you express each of the following in terms of variable a? Write the answer in your notebook.
1. Arkin’s age 5 years ago
2. Thrice Arkin’s age
3. His age after 4 years
4. Two-thirds his present age
5. Twice his age after 3 years
Answers
Answer:
1. a - 5 years
2. a × 3 =3a years
3. a + 4 years
4. 2|3×a = 2a|3 years
5. 2×a+3 = 2a+3 years
Margaret works at a clothing store. Today she has sold only shirt and pants.The ratio of the number of shirts sold to the number of the items sold to 2/5. Which model shows this to ratio
Answers
Answer:
Shirt : Pant = 2 : 3 , & Pant : Shirt = 3 : 2 , Linear model can be used.
Step-by-step explanation:
Ratio of ' Number of shirts sold : Number of items sold' = 2 : 5
Let the common ratio be = x
Then, number of shirts sold = 2x. And, number of total items sold = 5x.
So, number of pants sold = Number of items sold - number of shirts sold = 5x - 2x = 3x
So, shirt to pant ratio = 2x / 3x = 2 : 3 .And, pant to shirt ratio = 3 : 2
This model can be shown in linear equation, as all are linear powered.
Someone help me please
Answers
Step-by-step explanation:
I think the choose 3 (g , h ,f )
is
2/3 x 5/6 divided by 10/9
3/4 or 1/2 ??? If you can help greatly appreciated :)
Answers
Step-by-step explanation:
hope this help you more..
)
Answer:
1/2
Step-by-step explanation:
2/3 x 5/6 = 10/18
10/18 divided by 10/9 —————- > 10/ 18 times 9/10=90/180
(You switch up 10/9 into a multiplication equation)
90/180=1/2
Therefore, 2/3 x 5/6 divided by 10/9= 1/2
can u help plz? i will mark brainliest
Answers
Answer:
David's height is 57 inches.
Step-by-step explanation:
x/11=55
x=605
x/10=54.8
x=548
605-548=57
Answer:
57 inches
Step-by-step explanation:
undo the problem
55 x 11 = 605
54.4 x 10 = 548
605 - 548 = 57
hope I helped :)
calculate the area of his garden from the picture below pls help
Answers
Answer:
Hello! answer: 105.5
Hope that helps!
75 + 18 + 12.5 = 105.5
Solve x + 2x = 12
x = .............................
Solve 2y – 1 = 13
y = .............................
2. Solve 4x 3 = 13
x = ……………
show steps please
Answers
Answer:
4
7
4 or 2.5
Step-by-step explanation:
x+2x=3x
12/3=4=x
13+1=14
14/2=7=y
13+/-3=16/10
16/4=4
10/4= 2.5
this one depends wether 3 is negative or positive
A kite is flying on a string that is 73 feet long. The angle
the kite makes with the ground is 51 degrees. How high
is the kite flying?
Answers
Answer:
56.73 ft
Step-by-step explanation:
Given:
51° (angle)
73ft (hypotenuse)
With the given information use sin to determine the height of the kite.
sin51° = x/73
solve for x (height)
x= 73*sin51°
x= 56.73ft
what is the simplified form of (x + 3)²
Answers
Answer:
x^2+6x+9
Step-by-step explanation:
expand the expression
Estimate a 5% tip on a bill of $37.53 by first rounding the bill amount to the nearest ten dollars.
Answers
5% of 37.5 is 1.875
So the answer would be 1.88
45 is what percent of 500?
Help
Answers
Hopefully I helped ☺️
please help ill give brainliest answer!
Answers
Answer:
OC=48
RK=100
Step-by-step explanation:
We can use proportions to find both OC and RK.
[tex]\frac{OK}{KY} =\frac{OC}{RY}[/tex]
[tex]\frac{12}{24} =\frac{OC}{96}[/tex]
[tex]24OC=1152[/tex]
[tex]OC=48[/tex]
[tex]\frac{KC}{RK} =\frac{OK}{KY}[/tex]
[tex]\frac{50}{RK} =\frac{12}{24}[/tex]
[tex]12RK=1200[/tex]
[tex]RK=100[/tex]
Answer:
RK = 100
OC = 48
Step-by-step explanation:
Scale factor = 12/24 = 1/2
1/2 RK = 50
RK = 2* 50
RK = 100
1/2 RY = OC
1/2 * 96 = OC
48 = OC
OC = 48
PLS HELP REWARD THE BRAINLEIST AND STARS
Answers
Answer:
D for the first one and D for the second one.
Step-by-step explanation:
The population of Gilbert increased 275%. Which of the following are equivalent to 275%?
275
Choose...
275 Choose
Choose
1
Choose
2.75
Yes
Answers
Find the volume of a pyramid with a square base , where the area of the base is 7.5 cm ^ 2 and the height of the pyramid is 8.6 cm. Round your answer to the nearest tenth of a cubic centimeter.
Answers
Answer: 21.5cm³
Step-by-step explanation: This is your answer there is no way it is incorrect
The center of the Pentagon in Arlington, Virginia, is a courtyard in the shape of a regular pentagon The pentagon
could be inscribed in a circle with a radius of 300 feet. Find the area of the courtyard Round to the nearest tenth
Answers
Answer:
213,987.7 ft2
Step-by-step ex planation:
If 6^4x=82, what is the value of x?
Round your answer to three places.
Answers
Answer:
0.615
Step-by-step explanation:
Just round up.
Wich of the following could be the second equation in Kevins system of equations?
Answers
Answer:
Solution given:
let the two bags of pickle & chips and be x and y.
according to the question
x+2y=$3.25
again
3x+4y=$7.25 is a second equation.
What is it? I need help I hope I’m not the only one
Answers
Answer:
The one in the bottom right.
Step-by-step explanation:
what would be the exact side length of a square if the area was 49 m2
Answers
Answer:
7
Step-by-step explanation:
The square root of 49 is 7
Find and interpret the mean absolute deviation of the data. $4.6,8.5,7.2,6.6,5.1,6.2,8.1,10.3$4.6,8.5,7.2,6.6,5.1,6.2,8.1,10.3 The mean absolute deviation is ____
Answers
Answer:
1.3845
Step-by-step explanation:
i used this formula in the screenshot
and you can also try using calculator websites
HELPPPPPPPPPPPPPPPPPPPPPPPP
Answers
Answer:
D because mean is the subtraction of the biggest number and the smallest. so 17-8=9
Answer:
I think it's D
I don't know tho
Find the height of a right triangle with a hypotenuse of 15 feet and a base of 12 feet.
Answers
Answer:
c^2=a^2+b^2
c is hypothesis b is abase h is a
15^2=x^2 +12^2
225-144 =x^2
81=x^2
x=9
Mr. Duval bought 21 calculators for his classroom. The total cost was
$141.75. Each calculator cost the same amount. Which was the cost per
calculator?
Answers
Answer:
$6.75 each
Step-by-step explanation:
141.75 decided by the 21 calculators gets a grand total of $6.75 each
What does this symbol mean?±
Answers
Answer:
it means "plus or minus"
Step-by-step explanation:
hope tht helped
which number sentece states that x is at most 50
Answers
Answer:
The number sentence which states that x is at most 50 is x < 50.
Step-by-step explanation: