For 0° ≤ x < 360°, what are the solutions to cos(StartFraction x Over 2 EndFraction) – sin(x) = 0?
Answers
Answer:
C
Step-by-step explanation:
Ed2021
The solutions of the given trigonometric equation are 60°, 180°, 300°.
What is a trigonometric equation?A trigonometric equation is an equation that consists of one or multiple trigonometric ratios of unknown angles.
The given trigonometric equation is:
cos (x/2) - sin (x) = 0
⇒ cos (x/2) - 2sin (x/2) cos (x/2) = 0
⇒ cos (x/2) [1 - 2sin (x/2)] = 0
Therefore, cos (x/2) = 0 = cos (90°) (x/2 can't be 270°)
⇒ x = 180°
Again, [1 - 2sin (x/2)] = 0
⇒ 2sin (x/2) = 1
⇒ sin (x/2) = 1/2
⇒ (x/2) = 30°, 150°
⇒ x = 60°, 300°
Learn more about trigonometric equation here: https://brainly.com/question/15502598
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Related Questions
Find the coordinates of the image of the point (0,2) when it is reflected across the line x=3
Answers
Answer:
(6,2)
Step-by-step explanation:
because math
Please help thank you!!!
Answers
This is worth 20 points.
Find the slopes of segments CS and KP, and then determine whether they are parallel, perpendicular, or neither.
C(−6, −7),
S(−3, −5),
K(3, 3),
P(9, 7)
Answers
Answer:
CS M=2/3 , KP M=2/3
Step-by-step explanation:
Neither because, they have the same slope but CS is negative so, the slopes are in a line.
Suppose we are given the following.
Line 1 passes through (-1, 4) and (-3, -2).
Line 2 passes through (-1, -2) and (0, 1).
Line 3 passes through (-6, -3) and (3, -6).
(a) Find the slope of each line.
Slope of Line 1 =
Slope of Line 2 = 0
Slope of Line 3 =
(b) For each pair of lines, determine whether they are parallel, perpendicular, or neither.
Line 1 and Line 2: Parallel Perpendicular Neither
Line 1 and Line 3: Parallel Perpendicular Neither
Line 2 and Line 3: Parallel Perpendicular Neither
Answers
Answer:
Slope of line 1 = 3
Slope of line 2 = -3
Slope of line 3 = -1/3
Line 1 and 2 = perpendicular
Line 1 and 3 = perpendicular
Line 2 and 3 = perpendicular
Step-by-step explanation:
trust me its correct
pls mark me as brainliest
If Elena’s ice cream cost $3.50 more than Jada’s ice cream, how much more did Elena’s toppings weigh?
Answers
Answer:8 ounces more
Step-by-step explanation:Toppings cost 50 cents, 50 cents times 8 = $3.50
Answer: 8 ounces more
Step-by-step explanation: Toppings cost 50 cents, 50 cents times 8 = $3.50
HELP ME
please help me :,(
algebra
what are the roots, and y intercept of g (x)?
f (x)=(x-2)(x+3)(x-4)(x+1)
g (x)= -f (x+3)
Answers
Answers:
Roots of g(x) are: -1, -6, 1, -4
Y intercept of g(x) is: 24
==============================================
Explanation:
Part 1) Finding the roots of g(x)
To do this, we need the roots of f(x). Plug in f(x) = 0 and solve for x using the zero product property.
f(x) = (x-2)(x+3)(x-4)(x+1)
0 = (x-2)(x+3)(x-4)(x+1)
(x-2)(x+3)(x-4)(x+1) = 0
x-2 = 0 or x+3 = 0 or x-4 = 0 or x+1 = 0
x = 2 or x = -3 or x = 4 or x = -1
Those four x values are the roots of f(x). Plugging any of those values into f(x) leads to f(x) = 0.
Now onto g(x). We see that g(x) = -f(x+3). The x+3 indicates the xy axis has been shifted by 3 units to the right. This gives the illusion the f(x) curve is shifted 3 units to the left. This will move each root 3 units to the left as well.
The root x = 2 on f(x) moves to x = -1 on g(x). We subtract 3 from the first x value to get the second x value.The root x = -3 on f(x) moves to x = -6 on g(x). Same idea as above.The root x = 4 on f(x) moves to x = 1 on g(x).The root x = -1 on f(x) moves to x = -4 on g(x).The four roots of g(x) are: -1, -6, 1, -4
------------------------------------------------
Part 2) The y intercept of g(x)
Let's plug x = 0 into g(x) to see what happens
g(x) = -f(x+3)
g(0) = -f(0+3) ... replace every x with 0
g(0) = -f(3)
We don't know f(3) yet, but we can plug x = 3 into f(x) to find out
f(x) = (x-2)(x+3)(x-4)(x+1)
f(3) = (3-2)(3+3)(3-4)(3+1)
f(3) = (1)(6)(-1)(4)
f(3) = -24
Therefore,
g(0) = -f(3)
g(0) = -(-24)
g(0) = 24
The y intercept of g(x) is 24.
what is 5 times (2+8)+(12-6/3)times2
Answers
Answer:
5(2+8)+(12-6/3)2
5(10)+(12/1-6/3)2
50+(36/3-6/3)2
50+(30/3)2
50+60/3
50+20
70
Step-by-step explanation:
Answer: 70
If the equation is [tex]5(2+8)+(12-\frac{6}{3} )2[/tex]
[tex]5*10+(12-2)*2[/tex]
[tex]5*10+10*2[/tex]
[tex]10(5+2)[/tex]
[tex]10*7[/tex]
Answer: 70
Please mark brainliest if correct :)
Brianna is solving the equation -5 + 6(6x + 6) = 1 + 6x. Her steps are shown.
Step 1: -5 + 36x + 36 = 1 + 6x
Step 2: 36x + 41 = 1+ 6x
Step 3: 30x + 41 = 1
monts
sents
Step 4: 30x = -40
4
Step 5: x = -
3
A: Identify the first step in which Brianna made an error.
B: Write the correct solution to Brianna's original equation.
Answers
Answer:
Part A: Brianna made a error on step 2. Because it has to be + 31 not + 41 cause it is a -5+36
Part B: x= -1
Step-by-step explanation:
This is how it should have been done.
Step 1: -5+6(6x+6)= 1+6x
Step 2: -5+36x= 36=1+6x
Step 3: 36x+31= 1+6x
Step 4: 36x= 6x-30
Step 5: 30x= -30
Step 6: x= -1
Which values from the given replacement set make up the solution set of the inequality? 2b≥6;
A) { 3, 4}
B) {2, 3, 4}
C) {1, 2, }
D) {1, 2, 3}
Answers
You got an A on 6 of your last 18 quizzes in Algebra 2. What is the experimental probability
that you will get an A on your next quiz? (Simplify the fraction).
Answers
The experimental probability would be the number of A’s you have out of the number of quizzes you took:
Experimental probability would be 6/18 which reduces to 1/3
The answer is 1/3
Erica opens a bank account to save for college. She makes an intial deposit of 3,000!Into an account that pays 3% interest compounded continuously the formula below is the appropriate model for the situation use it to determine how long it will take her to reach a balance of 8,400
Answers
Answer:
35 years
Step-by-step explanation:
A= P(1 + r)^n
A= $8400
r= 3%
n= ?
P= $3000
8400 = 3000(1 + 0.03)^n
8400/3000 = (1 + 0.03)^n
log2.8 = log (1.03)^n
log 2.8 = nlog 1.03
n=log 2.8/log 1.03
n= 35 years
Melissa purchased $39.46 in groceries at a store. The cashier gave her $1.46 in change from a $50 bill. How much change should the cashier have given Melissa?
Answers
Step-by-step explanation:
Melissa have about 90$
Determine if this quadrilateral is a parallelogram. Justify your answer.
Answers
Answer:no
Step-by-step explanation:
the properties for a parallelograms are
opposite angles are equalopposite sides are equaldiagonals bisect each othersum of any two adjacent angles is 180we can conclude that the quadrilateral is not a parallelogram because it only has one pair of opposite sides that are equal. (the dashes through the sides show they are congruent to each other)
What is a irrational number between 9.6 and 9.7
Answers
It would be 9.66266227228, since it couldn’t be expressed as a fraction
what is 2x=9 I need help asap plzzzzz
Answers
Answer:
4.5
Step-by-step explanation:
2x=9
x=9/2
=4.5
Answer:
x = 4.5
Step-by-step explanation:
[tex]2x=9\\\\\text{Divide both sides by 2.}\\\\\frac{2x=9}{2}\\\\\boxed{x=4.5}[/tex]
Hope this helps.
Consider the equation 1.5x+4.5y=18. If we graph the equation, what is the
slope of the graph?
m= 3
m = 1.5
m = 4.5
m = -1/3
Answers
M=-1/3
Y=-1/3x + 4
A customer hands you $3,850 in cash and would like to purchase 14 prepaid
cards of $275 each. The customer hands you the cash with an expired ID, and is
expecting you to process the transaction.
You must decline the transaction for the following reasons (Select all that apply):
Answers
Answer:
Step 1: You must decline the transaction for the following reasons:
A customer may not purchase more than $2,000 in prepaid cards within a 24-hour period.
Customer ID must be a valid (not expired) government issued photo ID (US or Canadian issued driver's license, state ID, passport; US military ID, US Territory ID)
Customers may not purchase more than $250 at the assisted check out
you must decline this transaction for disiplinary action or termination
i need help plzzzzzz
Answers
Because you combine like terms
Answer:
3.7a/10+3b
Step-by-step explanation:
Hope this helps and have a great day :)help pls i’ll give out extra points
Answers
Answer:
The answer is similar, AA similar.
Step-by-step explanation:
The triangles are obviously similar; but we only know that because of the two identical angles. (AA)
Please mark Brainliest!
I need help T-T hehehehehehehe
Answers
Answer:
hehhehhe what the other guy said lol 10+9=21
solve using substitution method.
y=5,696x+25)
y = 9.49(x+6)
please help i answered but i just want to make sure it’s correct!
Answers
Answer:
y=56.9933034497, x=.00561680186
Step-by-step explanation:
I need help on this, I don't get this
Answers
=============================================
Work Shown:
Isolate y in the first equation
2x+y = 5
y = 5-2x .... subtract 2x from both sides
y = -2x+5
Then plug this into the other equation
-3x - 5y = 3
-3x - 5( y ) = 3
-3x - 5( -2x+5 ) = 3 .... replace y with -2x+5
-3x + 10x - 25 = 3 .... distribute
7x-25 = 3
7x = 3+25 .... adding 25 to both sides
7x = 28
x = 28/7 .... divide both sides by 7
x = 4 is the answer
-------------------------------------
Optional Section:
Use this value of x to find y
y = -2x+5
y = -2(4)+5
y = -8+5
y = -3
Then we can check our answers by plugging them into the original equations
2x + y = 5
2(4) - 3 = 5
8 - 3 = 5
5 = 5
That confirms the first equation. Repeat for the second equation
-3x - 5y = 3
-3(4) - 5(-3) = 3
-12 + 15 = 3
3 = 3
We've confirmed both equations, so (x,y) = (4, -3) is the solution to this system. This system is considered independent and consistent.
Graphing the two original equations will show that they intersect at (4, -3).
Write 108 as a product of its prime factors
Answers
Answer:
The factors of 108 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54 and 108.
Step-by-step explanation:
These are the factors of 108 because: 1 x 108 = 108. 2 x 54 = 108.
PLEASE GRAPH THIS AND SHOW THE Y AND X INTERCEPT
Answers
Answer:
I found this : graph the inequality by finding the boundry line, then shading the appropriate area
8 > 10p^2h-8c/5 (draw a line under the >)
Step-by-step explanation:
slope -3/4 and y-intercept 9.
Answers
Answer:
The equation would be:
Y=-3/4 + 9
Step-by-step explanation:
Hope it helps.
Kelsey measured the sides of a porch to determine if it is a right triangle. Does her porch with side lengths of 42 feet,
56 feet, and 70 feet form a right triangle?
Yes, because 422 +582 702
Yes, because 422 +562 = 70.
No, because 422+562 702.
No, because 422+562 = 702.
(it's b)
Answers
Answer:
yes because 422+ 562= 70
That’s the answer
PLEASE HELP ASAP I FORGOT HOW TO DO THIS!
Answers
Answer:
its A
Step-by-step explanation:
How to write this in slope-intercept form? 8x + 10y = 40
Answers
Answer:y=-4/5x+4
Step-by-step explanation:
Answer:
y = -4/5 + 4
Step-by-step explanation:
What is 12x10y24z15???????????
Answers
Answer:
I don't understand the question
Step-by-step explanation:
Brainliest 5 stars Thanks!