which expression is equivalent to (1+cos(x))2(tan(x/2))?
a. sin(x)
b. 1-cos(x)
c. 1-cos2(x)
d. (1+cos(x))(sin(x))
Answers
Answer:
It's d
Step-by-step explanation:
(1+cos(x))(sin(x))
The trigonometric expression (1+cos(x))2(tan(x/2)) is equivalent to (1+cos(x))(sin(x)) option (d) is correct.
What is trigonometry?Trigonometry is a branch of mathematics that deals with the relationship between sides and angles of a right-angle triangle.
The question is incomplete.
The complete question is in the picture, please refer to the attached picture.
It is given that:
The trigonometric expression is:
= (1+cos(x))²(tan(x/2))
As we know,
1 + cos(x) = 2cos²(x/2)
Use the above trigonometric identity:
= (2cos²(x/2))²(tan(x/2))
= 2 cos⁴(x/2) sin(x/2)/cos(x/2)
= 2 sin(x/2) cos³(x/2)
2sin A cos B = sin2A
Use the above trigonometric identity and after simplification we get:
= (1+cos(x))(sin(x))
The trigonometric ratio is defined as the ratio of the pair of a right-angled triangle.
Thus, the trigonometric expression (1+cos(x))2(tan(x/2)) is equivalent to (1+cos(x))(sin(x)) option (d) is correct.
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Related Questions
Is 2 a solution of 4x + 12= 4? Complete the statement. The equation is (true, false) when x = 2, so 2 (is, is not) a solution. WILL MARK BRAINLIEST
Answers
Answer:
The answer is false and is not
Explanation:
Given the equation - [tex]4x+12=4[/tex]
Substitute x = 2 in the equation
[tex]4(2)+12=4\\8+12=4\\20=4[/tex]
Thus, the equation is false. When the equation is false, meaning that the coordinate x-term isn't passed by the line. (Rather say that the point is not the part of the graph.)
The equation is false is our first answer.
If the equation is false, that means the given value is not part of the graph, thus making the x-value not the solution.
Answer:
The equation is FALSE when x=2, so 2 IS NOT a solution.
Help is this correct !!!??
Answers
Answer:
Yes
Step-by-step explanation:
(brainliest for correct answer) write an equation in slope/intercept.
Answers
Answer:
y=-2x+2
Step-by-step explanation:
combine like terms:
Answers
Answer:
Step-by-step explanation:
EF is the midsegment of trapezoid ABCD. Determine the value of x. 12.6 F E
Answers
The value of x is 5, the correct option is B
What is a Trapezoid?A quadrilateral with one side parallel to the other is a Trapezoid.
The midline in a trapezoid is parallel to its bases and the length is equal to half the sum of the bases.
In the figure attached the length of one of the parallel sides and the midline is given, the other base length has to be determined.
The length of AB = 12.6
The length of the midline EF = 8.8
The value of x =?
From the definition,
8.8 = (12.6 + x) /2
8.8 * 2 = 12.6 +x
x = 5
Therefore,the correct option is B.
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1) If you are driving 75 MPH and you sneeze you lose sight of the road for 6 seconds. How many feet do you drive in those 6 seconds? explain you're answer, pls !
Answers
Answer:
0.125 feet
75/60 to get minutes
0.02/60 to get seconds
multiply by 6
Step-by-step explanation:
A 6 foot tall man makes a shadow that is 31/2 feet long how tall is a building that makes a 147/8 foot shadow
Answers
Answer:
25.5
Step-by-step explanation:
Just did it
The sum of the angle measures a polygon with n sides is 720. What is n?
Answers
The polygon has 6 sides.
What is a polygon?
'A polygon, in geometry is any closed curve consisting of a set of line segments (sides) connected such that no two segments cross.'
According to the given problem,
Sum of measures of angle = 720
We know,
Sum of interior angles of polygon = 180( n - 2 )
Where, n = number of sides.
⇒ 180( n - 2 ) = 720
⇒ n - 2 = 720/180
⇒ n - 2 = 4
⇒ n = 6
Hence, we can conclude that the polygon has 6 sides.
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8> -1; Subtract 8 from both sides.
Answers
Answer:
0 > -9
Step-by-step explanation:
8 > -1
-8 -8
0 > -9
The ratio of pens to pencils is 5 to 4. If there are 25 pencils, how many pens are there?
Answers
Answer: 20 pens
5x5=25
5x4=20
Please help me i dont know how to do this!
Answers
Y-intercept =(0,-1)
Hope this helps
Somebody help plz I’m so bad at geometry sad face
Answers
Answer:
square is the answer for this question
There are 35 people who have
entered the sled race. If 60% of
them are over the age of 15, how
many participants are over 15?
Answers
Please help me I need help puhleass
Answers
Answer:
I can not see the full question
Step-by-step explanation:
Answer:
12/20 is 3/5, 42/66= 7/11, 7/56=1/8, 30/45=2/3, 9a/50a= i dont know because you are not able to divide 9/2 and is able to divide 50/2, 125/625= 1/5
Step-by-step explanation:
divide the numerator and the denominator buy the same number to get the answer i got 12/20 to 3/5 because 12/4= 3 and 20/4=5.
A weather reporter in your area said that the speed of sound in air today is about 1100 ft./s what is the speed in scientific notation
Answers
Answer:
1.1x10^3
Step-by-step explanation:
You divide by 10 until you get one digit on the left of the decimal, and however many times you divided by ten is the exponent that goes with the 10 in scientific notation.
PLS HELP FIRST ONE RIGHT GETS BRAINLEST |||| A produce stand is packing blueberries into 2/5 pound containers. How many containers can be filled with 60 pounds of blueberries? 1/150 1/24 24 150
Answers
Answer:
The answer is 24
Step-by-step explanation:
24
Answer:
24
Step-by-step explanation:
24
What is the 20th term for the following sequence?
3,-9, 27,-81, ...
Answers
Answer: -3486784401
Step-by-step explanation:
This is a geometric progression and the formula to use to find the nth term will be: = ar^(n-1)
where,
a = 3
r = -9/3 = -3
n = 20
Therefore, ar^(n-1)
= 3 × -3^19
= 3 × -1162261467
= -3486784401
Y-4=3(x - 1)
Identify slope
and what is an “anchor point”
Answers
A polynominal function that describes an enclosure is v(x)=1500x_x2 where x is the length of the fence in feet what is the maximum area of the enclosure
Answers
Answer:
The answer is below
Step-by-step explanation:
A polynominal function that describes an enclosure is v(x)=1500x-x2 where x is the length of the fence in feet what is the maximum area of the enclosure
Solution:
The maximum area of the enclosure is gotten when the differential with respect to x of the enclosure function is equal to zero. That is:
V'(x) = 0
V(x) = x(1500 - x) = length * breadth.
This means the enclosure has a length of x and a width of 1500 - x
Given that:
v(x)=1500x-x². Hence:
V'(x) = 1500 -2x
V'(x) = 0
1500 -2x = 0
2x = 1500
x = 1500 / 2
x = 750 feet
The maximum area = 1500(750) - 750² = 562500
The maximum area = 562500 feet²
Answer:
562500 feet²
Step-by-step explanation:
what is the equation of the line
Answers
Answer:
y=-x+3.
Step-by-step explanation:
The graph goes down one and right one before making another point. This means that the slope is -1/1. Simplify and you get -1. So far we have y=-1x. -1x is the same as -1. Now we have y=-x. The graph intersects the y-axis at the point (0,3). This makes our y-intercept 3. Our final equation is y=-x+3.
It can be equal to the set and it can contain all the elements that are present in the set
Answers
Answer: yes
Step-by-step explanation:
HELPPPPPPPP MEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE IT IS URGENT!!!!!!!!!!!!!!!!!!!!!!!!
Answers
So to get from 3 to 6 you multiply by two which you would also need to do to the price which is the same relationship because it is the correct answer whereas the 9 lbs you multiply by three and you would need to multiply the price by three as well and it is incorrect so it’s B
I’m not sure about the others though sorry
When will Peter's baseball hit the ground? Use mathematical evidence to explain your answer.
Answers
Question:
The height of Peter’s baseball is given by the graph below (See attachment)
When will Peter’s baseball reach the highest height? What is the height? When will Peter’s baseball hit the ground? Use mathematical evidence to explain your answer.
Answer:
Peter's baseball reached the maximum height at 1.5 secondsPeter's baseball hit the ground at 4 secondsStep-by-step explanation:
The (a) & (b) will be answered by making reference to the attachment.
Solving (a): Time to reach maximum height
The height is plotted at the vertical axis while the time taken is at the horizontal axis.
From the attachment; the following details can be observed
The maximum height is at 90ftWhen the maximum height is traced to the horizontal axis, the corresponding time is 1.5sUsing function notations, this can be represented as:
[tex]f(1.5) = 90[/tex]
And the interpretation is that:
Peter's baseball reached the maximum height at 1.5 seconds
Solving (b): Time to hit the ground
The interpretation of this question is to solve for the x intercept of the graph.
From the attachment; the following details can be observed
The ground is at 0 feetThe corresponding time at 0 feet is 4sUsing function notations, this can be represented as:
[tex]f(4) = 0[/tex]
And the interpretation is that:
Peter's baseball hit the ground at 4 seconds
PLZ HELP ME PLZzzz FIRST PERSON TO ANSWER WILL BE THE BRAINLIEST
(x power2/y) power 3
Answers
Answer:
the answer is x power 6/y power 3
Answer:
[tex]x^{\frac{6}{y} }[/tex]
Step-by-step explanation:
[tex]x^{\frac{2}{y} * 3}[/tex]
In a school with 400 students, a random sample of 40 students were asked which fruit is their favorite. Their responses are shown below.
Apple - 10
Banana - 12
Peach - 8
Pear - 6
Strawberries - 4
Using proportional reasoning, about how many students in the school would you expect to select an pear as their favorite fruit?
Answers
Answer:
60
Step-by-step explanation:
divide 400 by 40 you get the answer 10
now multiply 6 by 10 you get the answer 60 thats is the total pear fruit
A rug is 6 feet wide and 10 feet long. What is the ratio of the length to the width in simpliest form?
*3:5
*3:8
*5:3
*8:3
Answers
Hey,
Length to width ratio ;
[tex] \frac{10}{6} = \frac{10 \div 2}{6 \div 2} = \frac{5}{3} [/tex]
`Sorry if it's wrong
Good luck :)
x+3y=0
9y=-3x
how many solutions does this sytem have
Answers
Answer:
0 solutions
Step-by-step explanation:
when the 2 equations aresolved they get cancelled off each other.
Answer:
Infinite solutions
Step-by-step explanation:
got it right
sin^2a-sin^2b=cos^2b-cos^2a
Answers
Answer:
see explanation
Step-by-step explanation:
Using the trigonometric identity
sin²x + cos²x = 1 , then sin²x = 1 - cos²x
Consider the left side
sin²a - sin²b
= (1 - cos²a) - (1 - cos²b)
= 1 - cos²a - 1 + cos²b
= cos²b - cos²a
= right side , thus verified
how many solutions does the quadratic have? 2x^2+3x-5
Answers
Answer:
2 solutions
Step-by-step explanation:
Given
2x² + 3x - 5 ( to solve the quadratic equate it to zero )
2x² + 3x - 5 = 0 ← in standard form
(2x + 5)(x - 1) = 0 ← in factored form
Equate each factor to zero and solve for x
2x + 5 = 0 ⇒ 2x = - 5 ⇒ x = - [tex]\frac{5}{2}[/tex]
x - 1 = 0 ⇒ x = 1
The 2 solutions are x = - [tex]\frac{5}{2}[/tex] , x = 1
Explain how to and find the area of one triangular face
Answers
Answer:
Well its the same formula for the area of a triangle, nothing changes.
a=B*H/2
Step-by-step explanation:
Even if the shape changes, in order to find the area of one side of a triangle, locate the base and height and multiply those two together. After that, use that product and divide it by 2 to find the area of that triangle.