Review the steps of the proof of the identity
At which step was an error made?
step 1
step 2
step 3
step 4
Answers
The solutions to the trigonometric equation [tex]cos(\frac{\pi}{4} - x) = \frac{\sqrt{2} }{2} \cdot sin(x)[/tex] are;
{π/2, 3·π/2}
What is a trigonometric equation?A trigonometric equation is an equation involving trigonometric functions with the input of the function, represented by a variable. specified equation is presented as follows;
[tex]cos(\frac{\pi}{4} - x) = \frac{\sqrt{2} }{2} \cdot sin(x)[/tex]
The subtraction formula for the trigonometric ratios of cosine can be presented as follows;
cos(A - B) = cos(A)·cos(B) + sin(A)·sin(B)
Therefore;
cos(π/4 - x) = cos(π/4)·cos(x) + sin(π/4)·sin(x)
sin(π/4) = √2/2
Therefore;
cos(π/4 - x) = cos(π/4)·cos(x) + (√2/2)·sin(x)
cos(π/4 - x) = (√2/2)·sin(x)
cos(π/4)·cos(x) + (√2/2)·sin(x) = (√2/2)·sin(x)
cos(π/4)·cos(x) = (√2/2)·sin(x) - (√2/2)·sin(x) = 0
cos(π/4)·cos(x) = 0
cos(x) = 0/cos(π/4) = 0
x = arccos(0) = π/2 + n·π
Where n is an integer, therefore the values of the angle between 0, and 2·π are;
x = π/2 + π × 0 = π/2 and x = π/2 + 1 × π = 3·π/2
x = π/2 and x = 3·π/2
The solutions of [tex]cos(\frac{\pi}{4} - x) =\frac{\sqrt{2} }{2} \cdot sin(x)[/tex] are; {π/2, 3·π/2}Learn more on trigonometric identities here: https://brainly.com/question/29297432
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Related Questions
If an object fell to the ground from the top of a 1,600-foot-tall building at an average speed of 160 feet per second, how long did it take to fall?
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Answer:16 I think
Step-by-step explanation:
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B
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Step-by-step explanation:
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A squirrel is 1.1 feet tall. The squirrel shrinks to 1/10 of its height. How tall is the squirrel now? (This is an easy question for 10 points)
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Answer:
the answer to the question is 0.11
Hey guys! I need help please
A football coach needed to divide 48 players into two groups.He want the ratio of group 1 to group 2 to be 1:3. How many players are in group 2 ? Can you please explain how you solved it? Thank you
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Explanation: I took the ratio 1:3 and simply kept multiplying both side by a number until the numbers when combined equaled 48, I ended up with multiplying the sides each by 12, getting 12:36, 12+36=48. Hope this helps
I am being generous and giving tons of points
Write the quadratic function in standard form.
y=(x-8)^2 +9
I will report if you do not show you work, or your answer is incorrect.
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Answer:
y=x2−16x+73
Step-by-step explanation:
yea
Write about a real-life situation that could be described with the expression 1286 +953.
Answers
Julie wants to go to a theme park, so she starts a lemonade stand to make extra money. On Saturday, it's really hot, and several people buy lemonade, so she makes a total of $1,286. On Sunday, it's raining, so she only makes $953. How much money did Julie make from selling lemonade?
The first ones to sovle this wins a brainliest! Explain your answer!
Answers
Answer: 36 times
Step-by-step explanation: 54 divided by 12 is 4.5 so he makes 4.5 every time so if he went for 8$ he would get 36 because 4.5 times 8 equals 36 so he will drive around the track 36 times and make 8$
Jesus Christ had dreads so shake em', I ain't got none but I'm planning on growing some
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Answer:
ok................
Step-by-step explanation:
Answer:
Go for it?
Step-by-step explanation:
Also thanks for the points! Have a great day :D
8+x>3x the sum of x plus 8 is greater than 3 times x
Answers
Answer:
x<4 (assuming you're supposed to find x)
Step-by-step explanation:
8+x>3x
8>2x
4>x
Graph the line passing through (2,-5)whose slope is m=1/2
Answers
9514 1404 393
Answer:
see attached
Step-by-step explanation:
If you're graphing by hand, plot the point (2, -5), then draw a line through it with a slope of +1/2. Such a line will have a rise of 1 unit for each run of 2 units to the right. That is, (2, -5) +(1, 2) = (3, -4) will be another point on the line. You can draw the line through these two points.
__
When you are given a point and a slope, it is convenient to know the point-slope form of the equation of a line:
y -k = m(x -h) . . . . . line with slope m through point (h, k)
Here, the equation can be ...
y -(-5) = (1/2)(x -2)
y +5 = (1/2)(x -2)
A graphing calculator can draw the graph of this very nicely.
I don't understand these 2 problems, can someone help me please
Answers
Answer:
32 servings of cake
Step-by-step explanation:
so you are trying to figure out how much cake you can make if each box makes 12 servings
you have 8 eggs
2 cups of oil
4 boxes of cake mix
unlimited water
so each box needs 1/3 cup of oil, 3 eggs, and 1 cup of water.
you only have enough eggs to make 2 and 2/3 boxes of cake.
this means that you can make 32 servings of cake.
49 x 17 + 49 x3 distributive law
Answers
Answer:
49(17+3) =980
Step-by-step explanation:
49*17+49*3
49(17+3)
49*20
980
the length of a rectangle is 6 inches longer than its width. If the perimeter of the rectangle is 48 inches, find its area
Answers
Explanation: The width of the rectangle is x+6 units.
The length of the rectangle is x units.
The perimeter is P = 2l + 2w
This implies:
36 = 2(x+6) + 2x
Expand;
36= 2x + 12 +2x
Group like terms;
2x + 2x = 36 - 12
4x = 24
x = 6
8+2x=2x+8 which property is it
Answers
Answer:
Answer is 0
Step-by-step explanation:
Answer:
Commutative property
Step-by-step explanation:
This is because, when two numbers / variables are being added (Or even multiplied) they are commutative which means that the order of the numbers can be changed.
If my answer helped, kindly mark me as the brianliest!!
Thank You!!
Help! Quick
25 + (–17) + 16 + ______ = 0
Answers
Explanation: 25+(-17)= 25-17
25-17=8
8+16=24
0-24=-24
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What is the 9th term of 45,40,35,30,25
Answers
Answer:
5
Step-by-step explanation:
25 -5 - 5 -5 -5 -5 hope this helps
Evaluate this expression (6 x 10³) ÷ (3 x 10²) Express your answer in scientific notation.
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Answers
9514 1404 393
Answer:
2×10¹
Step-by-step explanation:
For division, mantissas divide, and exponents subtract.
[tex]\dfrac{6\times10^3}{3\times10^2}=\dfrac{6}{3}\times10^{3-2}=\boxed{2\times10^1}[/tex]
What value of n makes the equation 0.3(12 n-16)=0.4(12-3n) true
Answers
Answer:
n=2
Step-by-step explanation:
I believe that n= 2. please correct me if I am wrong.
A store sells a set for $25.00 and offers a 10% discount. How much is the set?
Answers
if a person has 35 marbles and 27 of them are red then how manny other marbles r not red?
Answers
Answer:
So, the equation would be 35-27 which = 8
Step-by-step explanation:
Jillian’s school is selling tickets for a play. The tickets cost $10.50 for adults and $3.75 for students. The ticket sales for opening night totaled $2071.50. The equation 10.50 a plus 3.75 b equals 2071.50, where a is the number of adult tickets sold and b is the number of student tickets sold, can be used to find the number of adult and student tickets. If 82 students attended, how may adult tickets were sold? adult tickets
Answers
Answer:
168 adult tickets
Step-by-step explanation:
3.75(82) (82 students)
307.5
2071.5 - 307.5 ( you subtract since you only need to know the number of adults)
1764
1764/10.5 (you divide since each adult is 10.5$)
168
The number of adult tickets sold was 168.
Given that, the tickets cost $10.50 for adults and $3.75 for students. The ticket sales for opening night totaled $2071.50.
Total number of students =82
What is the system of equations?In algebra, a system of equations comprises two or more equations and seeks common solutions to the equations. "A system of linear equations is a set of equations which are satisfied by the same set of variables."
a is the number of adult tickets sold and b is the number of student tickets sold.
Now, 10.50a+3.75b=2071.50
Put b=82 in the equation 10.50a+3.75b=2071.50 and simplify.
10.50a+3.75×82 =2071.50
⇒10.50a+3.75×82 =2071.50
⇒10.50a+307.5 =2071.50
⇒10.50a=1,764
⇒a=168
Therefore, the number of adult tickets sold was 168.
To learn more about an equation visit:
brainly.com/question/15707224.
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2 consecutive even integers have a quotient of 1.2 Write an equation to find the numbers.
Answers
Answer:
Step-by-step explanation:
Solve it your self dummy
In 12 years Pete will be three times as old as he was 16 years ago. How many years old is
Pete today
Answers
Answer:
Pete would be 36 years old.
Step-by-step explanation:
The equation is 16 x 3 = 48 then you should just do 48 - 12 which gives you 36.
the ratio of fish to snails in an aquarium is 3 to 2. There are 18 fish in the aquarium. How many snails are in the aquarium?
Answers
12 snails, give me brainliest pls
Answer:
12 is the correct answer
Step-by-step explanation:
Bowl B1 contains two white chips, bowl B2 con-tains two red chips, bowl B3 contains two white and two red chips, and bowl B4 contains three white chips and one red chip. The probabilities of selecting bowl B1, B2, B3, or B4 are 1/2, 1/4, 1/8, and 1/8, respectively. A bowl is selected using these probabilities and a chip is then drawn at random. Find (a) P(W), the probability of drawing a white chip. P(B1 I W), the conditional probability that bowl B1 had been selected, given that a white chip was drawn.
Answers
Answer:
By using law of total probability:
P(W) = ∑i P(Bi ) P(W/Bi)
=1/2 .1 + 1/4 .0 + 1/8 .1/2 + 1/8 .3/4
=1/2 + 0 + 1/16 + 3/32
= 21/32
= 0.656
Step-by-step explanation:
B1 contains = two white chips
B2 contain = 2 red chips
B3 contain = 2 white and 2 red chips
B4 contains = 3 white chips and 1 red chips
P(B1) = 1/2
P(B2) = 1/4
P(B3) = 1/8
P(B4) = 1/8
Probability of drawing white chips:
P(W / B1) = 2. 1/2 = 1
P(W/B2) = 0/2 = 0
P(W/B3) = 2/4 = 2
P(W/B4) =3/4
By using law of total probability:
P(W) = ∑i P(Bi ) P(W/Bi)
=1/2 .1 + 1/4 .0 + 1/8 .1/2 + 1/8 .3/4
=1/2 + 0 + 1/16 + 3/32
= 21/32
= 0.656
Which of the following is perfect square trinomial. Ive asked 4 times. Please Help. Will give brainlilest
Answers
Answer:
D
Step-by-step explanation:
a perfect square trinomial is
[tex]a^2x^2\pm2(ab)xy+b^2y^2[/tex]
factorized is
[tex](ax\pm by)^2[/tex]
so as you can see option A and B can't be, because they have -49y^2 and it has to be plus
so the other options are C and D
in the trinomial a=4 and b=\pm 7
the roots of a^2 and b^2
[tex]\pm2abxy=\pm2(4)(7)xy\\\\=\pm56xy[/tex]
so it's option d with b=-7
[tex]16x^2-56xy+49y^2[/tex]
Danielle sells lemonade and orange juice. Each glass of lemonade $3. Each glass or orange juice $2. She writes the number patterns to represent the costs. Which describes the costs of the drinks?
Lemonade: 0, 3, 6, 9, 12, 15..
Orange juice:0, 2, 4, 6, 8, 10..
A. Each glass or lemonade costs $1.50 more than glass or orange juice.
B. Each glass of lemonade costs 1 1/2 times the cost of each glass of orange juice.
C. Each glass of orange juice costs 1 1/2 times the cost of each class glass or lemonade
D. Each glass of orange juice costs $2.00 less than each glass of lemonade
Answers
Answer:
B
Step-by-step explanation:
3 / 2 = 1.5
58+20 equals please help me
Answers
Answer:
78
Step-by-step explanation:
Answer:
78
Step-by-step explanation:
50+20=70+8=78
or 58+20=78
what’s the answer smh
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Step-by-step explanation:
no.C I think?............