Answer:
points
Step-by-step explanation:
Prove that sin(3x)/sin(x)·cos(x) = 4cos(x)-sec(x)
Here is a huge hint:
sin(3x) = 3 sin (x) - 4(sin x)^3
sec (x) = 1/sin(x)
Take it from here.
The expression {4 cos(x) - sec(x)} is equivalent to {sin(3x)/sin(x) cos(x)} is proved below.
What is a mathematical equation and expression?In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.A mathematical equation is used to equate two expressions.Given is the equation -
sin(3x)/(sin(x)·cos(x)) = 4cos(x) - sec(x)
We have the following equation -
{sin(3x)/(sin(x)·cos(x)} = 4cos(x) - sec(x)
Now, we know -
sin3x = 3 sin x - 4 sin³x
So, we can write -
(3 sin x - 4 sin³x)/(sin(x)·cos(x) = 4cos(x) - sec(x)
sin(x) (3 - 4sin²x) / sin(x) cos(x) = 4cos(x) - sec(x)
(3 - 4sin²x)/cos(x) = 4cos(x) - sec(x)
(3 - 4sin²x) = cos(x){4 cos(x) - 1/cos(x)}
(3 - 4sin²x) = 4cos²x - 1
3 + 1 = 4cos²x + 4sin²x
4 = 4(cos²x + 4sin²x)
4 = 4
1 = 1
LHS = RHS
Therefore, it is proved that the expression {4 cos(x) - sec(x)} is equivalent to {sin(3x)/sin(x) cos(x)}.
To solve more questions on functions, expressions and polynomials, visit the link below -
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У
y = [?]
Enter the number that belongs in
the green box
Enter
Answer:
[tex]y = {60}^{o} [/tex]
Step-by-step explanation:
From the markings in the diagram, both triangles are equilateral and each angle in an equilateral triangle is 60°
WHATS 3 + 2??? I CANT FIGURE IT OUT. 50 POINTS FOR YOU
Answer:
5
Step-by-step explanation:
Answer:
3+2 is 5
Step-by-step explanation:
Thank you for the points! :)
You bake cookies for a bake sale. The ratio of chocolate chip cookies to oatmeal cookies is 7 : 5. You bake 15 oatmeal cookies. How many chocolate chip cookies do you bake?
Answer:
21
Step-by-step explanation:
[tex]\frac{7}{5}[/tex] = [tex]\frac{x}{15}[/tex]
x = 21 chocolate chip cookies.
There are 21 chocolate chip cookies do you bake.
What is mean by Ratio?
A ratio indicates how many times one number contain in another number. The ratio of two number is written as x : y, which is equivalent to x/y. Where, x and y are individual amount of two quantities.
Given that;
The ratio of chocolate chip cookies to oatmeal cookies is 7 : 5.
And, You bake 15 oatmeal cookies.
Now,
Since, The ratio of chocolate chip cookies to oatmeal cookies is 7 : 5.
Hence, The amount of chocolate chips = 7x
And, The amount of oatmeal cookies = 5x
Here, You bake 15 oatmeal cookies.
Hence, We get;
The amount of oatmeal cookies = 5x = 15
So, we get;
⇒ 5x = 15
⇒ x = 3
So, The amount of chocolate chips = 7x
= 7 × 3
= 21
Thus, There are 21 chocolate chip cookies do you bake.
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Find the slope of the line that passes through (5,2) and (4,-1)
Answer:
3
Step-by-step explanation:
2 - -1= 3
5-4 = 1
3/1 = 3
The next two terms of the sequence 4, 7, 10, 13 are *
Answer:
4, 7, 10, 13, 16, 19
Step-by-step explanation:
The sequence is going up by 3 simply keep adding 3.
Selena is graphing the inequality x <-2. She begins by drawing a number line and placing an open circle at -2
-7 -6 -5 -4 -3 -2 -
0
1
2 3
Which could be Selena's next step?
O shading the number line to the left of the open circle
O shading the number line to the right of the open circle
O shading the number line to the right and left of the open circle
O shading in the open circle
Look at the picture
Answer:
shade the number line to the left of the open circle
Step-by-step explanation:
x is less than - 2, so it could be any number lower than -2. for example, -3, -4, -5, etc.
Answer:
A. shade the number line to the left of the open circle
Step-by-step explanation:
Which can be used to expand the expression below?
5 (3 x minus StartFraction 6 over 7 EndFraction)
associative property
commutative property
distributive property
subtracting
Answer:
the 3ed one distributive property
Step-by-step explanation:
Which best explains why all equilateral triangles are similar?
all equilateral triangle’s can be mapped onto each other using dilations
all equilateral triangle can be mapped onto each other using rigid transformations
all equilateral triangles can be mapped onto each other using combinations of dilations and rigid transformations
all equilateral triangles are congruent and therefore similar with side links and a 1:1 ratio
Answer:
D
Step-by-step explanation:
I hope this helps you out!
Answer:
all equilateral triangle’s can be mapped onto each other using dilations.
Step-by-step explanation:
Because you can dilate or increase the size and scale the triangle about a certain point so if you do it correctly, this can be done with just a dilation.
Also an equilateral triangle is defined as a triangle where all the sides are congruent in length. This does not mean that all equilateral triangles are congruent (Do not get confused with D) to each other since size is the undefined variable so all equilateral triangles are proportional which means that they always have a ratio between them depending on the scale factor.
For example, let's say I have an equilateral triangle with a side length of 2, this means that all the sides must have a length of 2, but I can also have an equilateral triangle with a side length of 3, which means that all the sides will have that length for that triangle.
2 ≠ 3, but there is always a conversion factor between the side lengths. In this case a scale factor of 3/2 from the triangle with a side length of 2 to the one with a side length of 3. And a scale factor of 2/3 going from the triangle with a side length of 3 to the triangle with a side length of 2. Because all the sides are congruent, the angles must all be 60° degrees because individual side proportions defined by trigonometry are based on angles and sides. Thus, the angles are also affected due to the change in ratio.
are -1/2 and 2 perpendicular
Answer:
Well, if -1/2 and 2 are slopes of 2 lines, then yes, they are perpendicular.
Step-by-step explanation:
The slope of a perpendicular line is the opposite reciprocal of another line.
Normal line's slope: x
Perpendicular line's slope: -1/x
Tell me 3 points that would be on the graph of y = 2x + 3
Answer:
-1.5,0, 0,3 and -4,-5
Step-by-step explanation:
The premium membership at a health club is $40 per month. This is
$15 more than the cost of a standard membership. What is the cost of a standard
membership? Do not type the $ in your answer.
Quick I need help!!!!! Plzzz help meeeee!!??!!!??!?
Answer: 25
Step-by-step explanation:
x² = 30² +21² -2(30)(21) Cos 123°
Answer:
x ≈ 44.69
Step-by-step explanation:
x² = 30² +21² -2(30)(21)Cos123°
x² = 900 + 411 - 1260cos123°
x² = 1311 - 1260cos123²
~Take square root of both sides
x = √1997.245184111
x ≈ 44.69
Best of Luck!
Felicia drew a triangle with side lengths that measured 15
cm, 18 cm and 27 cm. To determine if Felicia drew a right
triangle, she can use the equation:
O A. 15+18= 27
O B. 152 + 272 = 182
O C. 15 + 18 = 27
O D. 182 + 152 = 272
Answer:
A
Step-by-step explanation:
Find the greatest and least values of arg z if (z +2i = 1)
Answer:
1 is least 2 is greatest
Step-by-step explanation:
PLEASE HELP ASAP!!!!!! i’ll mark brainlest
Answer:b
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
A kilogram is the same as 1,000 grams.
HTH :)
solve for X
3x - 6 = 30
Answer:
The answer is x=12
Step-by-step explanation:
3x - 6 = 30
3x-6+6=30+6
3x=36
To find x divide both sides by 3.
3x/3=36/3
x=12
What is the value of K?
k=
m
k
N
1
M
Answer:
1
Step-by-step explanation:
k=1
the value of k is 1
hope this helps ya!
Example 1: Marcus buys a varsity jacket from a clothing store in Arlington. The price of the jacket is $80 and the sales tax is 8%. What is the total cost of the jacket?
Answer:
$86.40
80 + 8%= 86.40
Answer:
$86.40..
Step-by-step explanation:
80 + 8%= 86.40
A club has 800 members.
100 of the members were randomly picked and were asked if the dues should be raised.
6 of the members said that dues should be raised.
Based on these results, about how many members in the club would be expected to say that dues should be raised? HELP
Answer:
48
Step-by-step explanation:
800/100=8.
6/100 said yes. so 6*8 which is 48.
Hope this helps plz hit the crown :D
If you are given the graph of a line and are asked to write the equation of a perpendicular line, does it matter what the y-intercept will be for the equation you write? Why or why not?
What is the solution to the equation x - 5 = 15?
Answer:
x=20
Step-by-step explanation:
x - 5 = 15
x +5 = +5
x = 20
Answer:
20
Step-by-step explanation:
if u go on your calculator there is a math button click it and go to numrical equations and type it out the first block is the numbers and stuff in front of the equal sign and the second block is after it
I need the answer ASAP
Answer:
[tex]p\leq 56[/tex]
Step-by-step explanation:
Plz mark brainliest!
i need help with 4, 5, and 6
Answer:
To find the slope you do rise/run and the slope for 4 is 6/5 the slope for 5 is ZERO slope or 0/5 I know because it goes 0 times up and 5 times to the right. And for 6 is UNDEFINED slope or 6/0 because it goes 6 times up and 0 time to the sides
Step-by-step explanation:
Answer:
4. 6/5 5.zero 6. undefined
Step-by-step explanation:
so you do y1-y2/x1-x2
4-(-2)/2-(-3)
6/5
5. because it doesn't go up or down
6. because the x doesn't change
which equation is equivalent to 3/2x -4y+1=0
Answer:
the fourth option
Step-by-step explanation:
i googled it
Answer:the 2nd to the very bottom one
Step-by-step explanation:
Don’t wanna tell
What is the result when 9x3 + 9x2 + 17x + 10 is divided by 3x + 2?
Answer:
61x over 3
=16? on a graph
Step-by-step explanation:
what is the solution to 2/3a - 1/6 = 1/3
Answer:
Step-by-step explanation:
a=3/4
A holiday costs £1900. Work out the
price after a 9% discount.
Answer:
$1729
Step-by-step explanation:
[tex]\frac{100-9}{100} * 1900[/tex]
Answer:
1729
Step-by-step explanation:
1900 divided by 100 is 19
1% equals 19
1 times 9 equals 9
19 times 9 equals 171
171 = 9%
171 - 1900 = 1729
price after a 9% discount is 1729
Brenda and Shayna are selling flower bulbs for a school fundraiser. Customers can
buy bags of windflower bulbs and packages of crocus bulbs. Brenda sold 5 bags of
windflower bulbs and 5 packages of crocus bulbs for a total of $145. Shayna sold 3
bags of windflower bulbs and 5 packages of crocus bulbs for a total of $121. Find
the cost of one bag of windflower bulbs.
Given :
Customers can buy bags of windflower bulbs and packages of crocus bulbs. Brenda sold 5 bags of windflower bulbs and 5 packages of crocus bulbs for a total of $145.
Shayna sold 3 bags of windflower bulbs and 5 packages of crocus bulbs for a total of $121.
To Find :
The cost of one bag of windflower bulbs.
Solution :
Let, cost of one bag of windflower bulbs and crocus bulbs is x and y.
Converting given statement to mathematical equation, we get :
5x + 5y = 145
x + y = 29 ...1)
and
3x + 5y = 121 ...2)
Solving equation 1 and 2, we get :
3( 29 - y ) + 5y = 121
87 - 3y + 5y = 121
2y = 34
y = 17
and x = 12
Therefore, cost of one bag of windflower bulbs is $12 .
Hence, this is the required solution.
What is the value of 5k^-4 if k = -2?
Answer:
-0.3125
Step-by-step explanation:
5k^-4 when k = -2
~Substitute
5(-2)^-4
~Take the exponent
5(-0.0625)
~Multiply
-0.3125
Best of Luck