Step-by-step explanation:
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Solve for x:sinx+sin2x+sin3x=cosx+cos2x+cos3x in the interval 0≤x≤2π.
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We write the given equation as
(sinx+sin3x)+sin2x=(cosx+cos3x)+cos2x
or 2sin2xcosx+sin2x=2cos2xcosx+cos2x
or sin2x(2cosx+1)=cos2x(2cosx+1)
or (sin2x−cos2x)(2cosx+1)=0
∴sin2x−cos2x=0 or 2cosx+1=0
If sin2x−cos2x=0, then tan2x=1,
Hence 2x=nπ+π/4
or x=(4n+1)
8
π
.(1)
If 2cosx+1=0, then cosx=−1/2 (2)
∴x=2nπ±
3
2π
or x=
3
6n±2
π
We seek values of x in the interval 0≤x≤2π
In this interval (1) gives
x=π/8,5π/8,9π/8,13π/8. (n=0,1,2,3)
and (2) gives x=2π/3,4π/3. (for n=0,1)
Thus we get the answer
x=π/8,5π/8,2π/3,9π/8,4π/3,13π/8.
What is the measure of the
third angle of this triangle?
Answer:
20 degrees
Step-by-step explanation:
180-120-40=20
Please help me solve this
Answer:
9
Step-by-step explanation:
2(m+2) = 22
Using the distributive property, you can multiply the 2 to both the "m" term and the "2".
2m + 2*2 = 22
2m + 4 = 22
Then you isolate the variable and solve.
2m = 22 - 4
2m = 18
m = 9
2(m + 2) = 22
2(m) + 2(2) = 22
2m + 4 = 22
2m = 22 - 4
2m = 18
2m / 2 = 18 / 2
m = 9
To distribute the 2 to each term inside the parentheses means to multiply the 2 by both terms in the parentheses so
2(m + 2) means (2 × m) + (2 × 4)
find the postive value of x when y = 25
DO NOT ANSWER IF YOU DO NOT KNOW
What is 1 way you can tell if two people are paying the same rate?
Answer:
By saying "paying the same rate"
I believe you want to know for example when two people are buying a product how to know if they are paying the same amount.
If so then there are a couple of factors at play.
First of all you need to identify the GDP of the product and the amount of tax/VAT which if calculated properly may help you tell if they are paying the same amount or not.
A train travels at a constant rate of 45 miles per hour
What is the distance, d, in miles ,that the train traves in t hours?
Answer:
d=45t
Step-by-step explanation:
Plug 1 in for t
d=45(1)
d=45
so after one hour, the train travels 45 miles
f(x)=2x-3;find f (0), and f(x-3)
Answer:
f(x) = 2x – 3
f(0) = 2(0) – 3 = -3
f(1) = 2(1) – 3 = 2 – 3 = -1
(f(0) + f(1))/2 = (-3 - 1)/2 = -4/2 (f(0) + f(1))/2 = - 2
May I please receive help?
Please?
Just find m2
Answer:
I'll assume the question says "m<1 is 12 deg. more than m<2."
Step-by-step explanation:
m<WXZ is 86
m<1 + m<2 = 86
m<1 = m<2 + 12
(m<2 + 12) + m<2 = 86
2m<2 + 12 = 86
2m<2 = 74
m<2 = 37
m<1 = 49
m<1 + m<2 = 86 [Checks]
are two of the same looking triangle but different sizes mean they are congruent?
Answer:
No
Step-by-step explanation:
They are similar
Answer:
Congruent triangles Two or more triangles that have the same size and shape are called congruent triangles. The four triangles are congruent with each other regardless whether they are rotated or flipped. The congruence of two objects is often represented using the symbol
Step-by-step explanation:
Jessica purchased a DVD that was on sale for 12% off. The sales tax in her county is 3%. Let y represent the original price of the DVD. Write an expression that can be used to determine
the final cost of the DVD.
Answer:
0.88%y + 0.03%
K12 is how i know the answer
write the equation of the line perpendicular to the given line y= -2/3 x + 1
since the equation of the line passing through the given point is perpendicular to the given line(m2= -1/m1)
using the formula y=mx+c
y=2/3x +1
m1=2/3
m2= -1/2/3
m2= -3/2
the slope of the second line is -3/2 and it passes through the point(3,-2)
using the formula y-y1 = m(x-x1)
y-(-2)= -3/2(x-3)
y+2= -3/2(x-3)
multiply both sides by 2
2(y+2) = -3(x-3)
2y+4 = -3x+9
2y = -3x+5
y= -3/2x + 5/2
just give me the coordinates plzplzplz
Answer:
(0,4) and (5,-3)
Step-by-step explanation:
Tan^2 0+Tan^2 30+Tan^2 60+Sin^2 0
Answer:
2.996519411885697
Step-by-step explanation:
[tex] \tan(20) + \tan(230) + \tan(260) + \sin(20) = 2.996519411885697[/tex]
mark me brainliest
hihi please solve ( will mark brainliest ❥ )
Answer:
use calculator and then solve it╮(─▽─)╭
8z + 6 = 7z + 4
I need help with it please show the steps
Given g(x)=-x+3g(x)=−x+3, find g(1)
Answer:
g(1) = 2
Step-by-step explanation:
g(x)=−x+3
g(1)=
Let x = 1
g(1) = -1+3 = 2
What force would have been applied to the bus from t=16 s to t=21 s? Assume the mass of the bus was 50 kg.
Applying Newton's Second Law, it is found that the force, in Newtons, is given by:
[tex]F = 10[v(21) - v(16)][/tex]
Newton's Second Law states that Force, in Newtons, is mass times acceleration, that is:
[tex]F = ma[/tex]
In this problem, mass of 50 kg, thus [tex]m = 50[/tex]
Acceleration is change in velocity divided by change in time, that is:
[tex]a = \frac{\Delta_v}{\Delta_t}[/tex]
In this problem, we don't know the velocities, but know that time is from 16s to 21s, thus:
[tex]\Delta_t = 21 - 16 = 5[/tex]
[tex]\Delta_v = v(21) - v(16)[/tex]
Thus, the force is given by:
[tex]F = ma[/tex]
[tex]F = m\frac{\Delta_v}{\Delta_t}[/tex]
[tex]F = 50\frac{[v(21) - v(16)]}{5}[/tex]
[tex]F = 10[v(21) - v(16)][/tex]
A similar problem is given at https://brainly.com/question/18801986
Find the point if intersection of these two lines using algebra.Y= -x+3 and y=3x+2
Answer:
x = 1/4, y = 11/4
Step-by-step explanation:
hope this helps
can someone help me ??
Answer:
x=5
Step-by-step explanation:
Brainliest?PLEASE?Answer: x=-5
I hop that helped I would appreciate brainliest if possible :)
Which graph best represents the solution set of y > 5/3x + 2?
Answer:
[tex]y > \frac{5}{3} x + 2[/tex]
The choice A.
I hope I helped you^_^
50 POINTS!
PLEASE HELP THIS MAKES NO SENSE AT ALL!! IM BEING TIMED
Answer: the last one i think if i'm wrong then im so sorry
How do I solve 5x - 4x^2
Answer:
If you are asking,
5x - 4x^2=0
x(5-4x)=0
Either,
x=0
or,
5-4x=0
x=5/4
If factor,
5x - 4x^2
x(5-4x)
If difference,
5x - 4x^2
The same as they are not like terms.
Lillian's bedroom door is 9 feet tall and 3 feet wide. A new door would cost $3.00 per square foot. How much would a new bedroom door cost in total?
Answer:
$81.00
Step-by-step explanation:
First find the square feet:
9*3= 27
Then find total cost:
27*3= 81
Hope this helps! :)
the tennis team is selling tickets to a car wash for $6.when they do not sell very many tickets ,the team decreaces the price 25%.what is the new cost of a ticket .
Answer:
it will be $1.50 (sure yan ah diyan joke)
solve −2 1/4⋅(−2 1/3)
a −5 1/4
b −4 1/1
c 4 1/12
d 5 1/4
Answer:
5 1/4
The answer is d (d 5 1/4)
Answer: D
Step-by-step explanation:
[tex]-2\frac{1}{4}[/tex] × [tex]-2\frac{1}{3}[/tex]
= [tex]\frac{-9}{4}[/tex] × [tex]\frac{-7}{3}[/tex]
= [tex]\frac{3}{4}[/tex] × [tex]7[/tex]
= [tex]\frac{21}{4}[/tex] or [tex]5\frac{1}{4}[/tex]
please give me a brainliest answer
Determine if the following are true or false statements.
- If it is below 32° outside, then it is snowing. T or F
- If m∠2=25°, then it is an acute angle. T or F
- If two angles are supplementary, then they add up to 180°. T or F
- If two angles are complementary, then they are both 45° T or F
Answer:
1. T
2. T
3. T
4. F
Step-by-step explanation:
1. The tempature must be 0 degrees celcus or 32 degrees fahrenheit or below to snow.
2. An acute angle is less than 90 degrees
3. Supplementary angles are 2 angles that add up to 180.
4. Complementary angles are any 2 angles that add up to 90 degrees BUT they do not have to be only 45 degrees and can be any 2 degrees that add up to 90.
cora plans to buy some calligraphy pens priced at $5 each
PLEASE HELP I WILL GIVE YOU BRAINLIEST ANSWR!!!!!!
Answer:
Domain: (- infinity, infinity) Range: (-infinity, infinity)
Step-by-step explanation:
ok. look at the x axis.. the graph goes on forever... now y axis, it continues so both are infinity.
Please help on geometry
which graph represents the equation y=-4/3x-2
Answer:Y = 3x2+ 4
When equation is in the form of y = Ax2 + Bx + C, it is in standard form.
A = 3, B = 0
Since A is positive, the graph opens upward.
Vertex is the lowest point on the graph.
The x coordinate of the vertex occurs at -B/2A
X =-B/2A = -0/2(3) = 0
To find the y-coordinate, we substitute 0 and solve for y
Y = 3(0)2 + 4 = 4
The vertex is at (0,4) ... the lowest point on the graph
From here, you can construct a table of values for x, and solve for y to obtain points on the graph.
Good x values to pick are -2, -1, 1, and 2
The domain is all the x-values for which the function is defined, The function is defined for all real values of x.
The domain is all real numbers. { x | x is a real number }
The range is all the y values obtained from input of the x-values.
The smallest y value is 4, the largest is positive infinity.
The range is all real numbers ≥ 4. { y | y ≥ 4 }
A line segment is defined by which of the following statements?
А Two rays that share a common endpoint.
B.
The set of all points that are a fixed distance from a given point.
С
All points between and including two given points.
D
A straight path connecting two points and extending infinitely in both directions.
The only given option that correctly defines a line segment is;
Option C; All points between and including two given points.
In geometry in mathematics, a line segment is defined as a part of a line that is bounded by two distinct end points.
Now, let us look at the options;
Option A; This is not correct because a line segment must have 2 distinct endpoints
Option B; This is not correct because a line segment is a part of a line and not a set of points.
Option C; This is correct because it tallies with our definition of line segment.
Option D; This is not correct because a line segment does not extend infinitely.
Read more at; https://brainly.com/question/18089782