Answer:
true................
Step-by-step explanation:
true
This is finding exact values of sin theta/2 and tan theta/2. I’m really confused and now don’t have a clue on how to do this, please help
First,
tan(θ) = sin(θ) / cos(θ)
and given that 90° < θ < 180°, meaning θ lies in the second quadrant, we know that cos(θ) < 0. (We also then know the sign of sin(θ), but that won't be important.)
Dividing each part of the inequality by 2 tells us that 45° < θ/2 < 90°, so the half-angle falls in the first quadrant, which means both cos(θ/2) > 0 and sin(θ/2) > 0.
Now recall the half-angle identities,
cos²(θ/2) = (1 + cos(θ)) / 2
sin²(θ/2) = (1 - cos(θ)) / 2
and taking the positive square roots, we have
cos(θ/2) = √[(1 + cos(θ)) / 2]
sin(θ/2) = √[(1 - cos(θ)) / 2]
Then
tan(θ/2) = sin(θ/2) / cos(θ/2) = √[(1 - cos(θ)) / (1 + cos(θ))]
Notice how we don't need sin(θ) ?
Now, recall the Pythagorean identity:
cos²(θ) + sin²(θ) = 1
Dividing both sides by cos²(θ) gives
1 + tan²(θ) = 1/cos²(θ)
We know cos(θ) is negative, so solve for cos²(θ) and take the negative square root.
cos²(θ) = 1/(1 + tan²(θ))
cos(θ) = - 1/√[1 + tan²(θ)]
Plug in tan(θ) = - 12/5 and solve for cos(θ) :
cos(θ) = - 1/√[1 + (-12/5)²] = - 5/13
Finally, solve for sin(θ/2) and tan(θ/2) :
sin(θ/2) = √[(1 - (- 5/13)) / 2] = 3/√(13)
tan(θ/2) = √[(1 - (- 5/13)) / (1 + (- 5/13))] = 3/2
Need help, I’ll give brainliest if correct.
Halp pls!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
which of these values could be the slope of the line? Select TWO options
Answer:
7/4 and 3
Step-by-step explanation:
It's a positive slope (sloping up and to the right).
If its sloping from quadrant 3 to 1, it's positive
A total of 200 video game players take a survey on their favorite game. Unknown Kingdom
gets 55% of the votes, The video game designers want to know how many players voted for
Unknown Kingdom.
Wite 55% as a rate per 100.
55
559%
e Find an equivalent ratio where the number of players surveyed is 200.
Votes
55
Players Suveyed
100
200
Answer:
Could you explain it another way?
Step-by-step explanation:
I need just the answer, no step to step
just divide the price by the amount of oz. I don't have a calculator but that's what you do. Just round according to money.
Answer:
1) [tex]\huge\boxed{\sf 5.7}[/tex]
2) [tex]\huge\boxed{6.4}[/tex]
Step-by-step explanation:
74 oz = $ 4.24
74 oz = 4.25 * 100 cents
74 oz = 425 cents
Divide bot sides by 74
1 oz = 425 / 74 ¢ / oz
1 oz = 5.7 ¢ / oz
[tex]\rule[225]{225}{2}[/tex]
42 oz. = $2.69
42 oz = 2.69 * 100 cents
42 oz = 269 cents
1 oz = 269 / 42 cents
1 oz = 6.4 ¢ / oz
[tex]\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807i need help with these questions asap
Answer:
11. the first one 12. the last one
Step-by-step explanation:
Answer:
Step-by-step explanation:
11 - the first option
12-the second option
5) Express as a single logarithm. You do NOT need to expand the polynomials:
5 In(x - 2) + 8 In(x + 3) - 3 ln(x + 8)
5 ln(x - 2) + 8 ln(x + 3) - 3 ln(x + 8)
ln(x - 2)⁵ + ln(x + 3)⁸ - ln(x + 8)³
since [tex]a\log_cb=\log_cb^a[/tex] (for any base c)
ln((x - 2)⁵ (x + 3)⁸ / (x + 8)³)
since [tex]\log_c(a)+\log_c(b)=\log_c(ab)[/tex] and [tex]\log_c(a)-\log_c(b)=\log_c\frac ab[/tex] (also for any base c)
Write numbers to make each line have the same sum
Answer:
There is nothing here?
Step-by-step explanation:
What is the result of 122÷8? Use the number line to find the answer
A: 7
B:14
C:16
D:28
Please help!
Answer: I would go towards B
Step-by-step explanation:
122/8 = 15.25
This is more towards 15, so put the dot in the middle of 14 and 16
Divide four people into three rooms, in which only one room could host two people. How many ways are there to arrange them so that A, B are not in the same room
Step-by-step explanation:
AC B D
AD B C
A BC D
A BD C
hope it's right
2500 freshmen took an Algebra test through North Carolina Virtual Public school.The
scores were distributed normally with a mean of 75 and a standard deviation of 7.
How many algebra students scored between 68 and 82?
A. 2000
B. 1950
C. 1700
D. 680
A scuba diver descends 0.75 meters per second. What is her change in elevation after 25 seconds?
-25.75 meters
-50.00 meters
-18.75 meters
-100 meters
Answer:
-18.75 Meters
Step-by-step explanation:
0.75 x -25 = -18.75 Meters :D
Multiply the following polynomials, then place the answer in the proper location on the grid. Write the answer in
descending powers of x.
(8x + 3)(4x + 7)
Answer:
32x^2+68x+21
Step-by-step explanation:
Answer:
32x^2+68x+21
Step-by-step explanation:
This is right just did this!!
The price of a 7 -minute phone call is $1.75. What is the price of a 14 -minute phone call?
Answer:
$3.50
Step-by-step explanation:
14 is double 7
So the price should be double
1.75 x 2 = 3.5
(Assuming there's no base fee and the charge is purely for minutes)
Hello,
2x+1=x(2+0)
True or false???????
Answer:
false right
Step-by-step explanation:
Type the correct answer in the box.
If cos x = sin(20 + x)° and 0° < x < 90°, the value of x is
°.
Correct question is;
Type the correct answer in the box bellow: If cos x = sin(20 + x)° and 0° < x < 90°, the value of x is ...........
Answer:
x = 35°
Step-by-step explanation:
We are told that;
cos x = sin(20 + x)°
and 0° < x < 90°
From trigonometric identities, we know that;
cos x = sin (90 - x)
Applying to our question gives;
sin (90 - x) = sin (20 + x)°
Comparing both sides, we have;
90 - x = 20 + x
Rearranging;
90 - 20 = x + x
70 = 2x
x = 70/2
x = 35°
5x2= wat??? i really didnt get this in class and really need help
Answer:
10
Step-by-step explanation:
5 x 2 = 10
Let's put it this way. 5 two times. 5 and 5. 5 + 5
Add them. you get 10.
Answer:
10, bro if you in college like the question says i feel bad for you. other wise you in 2nd grade.
Step-by-step explanation:
3r + 6y - 2z = -6 2x + y + 4z = 19 -5x - 2y+8z = 62
solve each system of equations
I am an odd number that is less than 10 and is not the number of sides on a triangle.I can be divided by three what number am I?
Answer:
I think that it would be 9 because it is less than ten and can be divided equally by 3.
Step-by-step explanation:
please graph (-5,2) thank you
Answer:
I hope this helps!!!
Step-by-step explanation:
can someone explain to me of how to do this?
Answer:
1) 11
2) 15
Step-by-step explanation:
The bars on the sides of the numbers represent the absolute value/magnitude of the number, so you will need to remove the negative symbol if it is present in front of the number (if it is already a positive number, leave it as it is).
Example:
[tex]|-3+2| = |-1|[/tex]
[tex]= 1[/tex]
Hope this helps :)
One box has 16 apples another box has 24 lemons.
Answer:
Like the other person said there's 40 apples.
Step-by-step explanation:
but is there more to the question or..?
Watch help video
In an all boys school, the heights of the student body are normally distributed with a
mean of 69 inches and a standard deviation of 2.5 inches. Using the empirical rule,
what percentage of the boys are between 61.5 and 76.5 inches tall?
Answer:
99.7%
Step-by-step explanation:
99.7% of boys fall between 61.5 and 76.5
The percentage of the boys that are between 61.5 and 76.5 inches tall is 99.73%
How to determine the percentage between the range?The given parameters are:
Mean = 69Standard deviation = 2.5Start by calculating the z score for x = 61.5 and 76.5 using:
[tex]z = \frac{x - \mu}{\sigma}[/tex]
So, we have:
[tex]z_1 = \frac{61.5 - 69}{2.5} = -3[/tex]
[tex]z_2 = \frac{76.5 - 69}{2.5} = 3[/tex]
The percentage is then represented as:
Percentage = P(-3 < x < 3)
Using the z table of probabilities, we have:
Percentage = 0.9973
Express as percentage
Percentage = 99.73%
Hence, 99.73% of the boys are between 61.5 and 76.5 inches tall
Read more about normal distribution at:
https://brainly.com/question/4079902
#SPJ9
Tn real estate exam Dan received 7
1questions
What is the equation in slope-intercept form for the line that passes
through the points (1, 2) and (3, 4)?
what is the inverse function of f(x) = 4x - 1
Answer:
[tex]f(x) = \frac{x + 1}{4}[/tex]
Step-by-step explanation:
To inverse the function switch the places of x and y like this:
x = 4y - 1
Now, solve for y:
[tex]x + 1 = 4y\\\frac{x + 1}{4} = y[/tex]
It's that easy!
I hope this helps!!
- Kay :)
2 plus 2 and 45 plus 68
Answer:
117
Step-by-step explanation:
Answer:
117
Step-by-step explanation:
2+2=4
45+68=113
113+4=117
What inequality symbol does "at least" correspond to?
A. less than
B. less than or equal to
C. greater than
D. greater than or equal to
Answer:
C, if someone else gets the same answer as me then its right
Step-by-step explanation:
Solve the equation 3x^2+8=83
Answer:
x = 5
Step-by-step explanation:
3x² + 8 = 83
3x² = 83 - 8
3x² = 75
x² = 75/3
x² = 25
x = √25
x = 5
-TheUnknownScientist
Answer:
x =5
Step-by-step explanation:
3x²+8=83
3x²=83-8
3x²=75
x²=75
3
x²=25
x=√25
x=5
hope it help u.