ANSWER AND GET 30 POINTS!!! ASAP!!!
Which of the following are trigonometric identities? Select all that apply. (3)
What is a simplified form of the expression sec^2 x-1/sinx secx?
Answers
Answer:
1. A, E
2. C
Step-by-step explanation:
1. tan theta = 1/cot theta
sec theta = 1/ cos theta
2. Sec^2x-1 = tan^2x
sinx sec x = tanx
= tan^2x/tanx = tan x
The identities are (a) tan(θ) = 1/cot(θ), (c) 1 - sin^2(θ) = cos^2(θ) and (e) sec(θ) = 1/cos(θ) and the simplified form of [tex]\frac{\sec^2(x) - 1}{\sin(x)\sec(x)}[/tex] is tan(x)
Part A: The trigonometry identitiesAs a general rule, we have:
tan(θ) = 1/cot(θ)
sec(θ) = 1/cos(θ)
cosec(θ) = 1/sin(θ)
sin^2(θ) + cos^2(θ) = 1
The above means that:
(a) tan(θ) = 1/cot(θ), (c) 1 - sin^2(θ) = cos^2(θ) and (e) sec(θ) = 1/cos(θ) are identities
Part B: The trigonometric proofWe have:
[tex]\frac{\sec^2(x) - 1}{\sin(x)\sec(x)}[/tex]
Express the numerator as tan^2(x)
[tex]\frac{\tan^2(x)}{\sin(x)\sec(x)}[/tex]
The product sin(x)sec(x) = tan(x).
So, we have:
[tex]\frac{\tan^2(x)}{\tan(x)}[/tex]
Divide
tan(x)
Hence, the simplified form of [tex]\frac{\sec^2(x) - 1}{\sin(x)\sec(x)}[/tex] is tan(x)
Read more about trigonometry ratios at:
https://brainly.com/question/11967894
Related Questions
Help!
Last week, Jonathan ran 15 less miles than Andre. Jonathan ran a total of 43 miles. Write an equation to represent how many miles Andre ran last week?
Answers
x= 58 miles
HELPPP PLZZ
What is the radius of a cylinder that has a volume of 500 ft ³ and that is 10 ft tall?
Answers
Answer:
The answer is 3.98942, rounded its 3.99.
Step-by-step explanation:
Answer:
3.99 ft
Step-by-step explanation:
Volume of a cylinder = πr²h
π = 3.14
volume = 500 ft³
height = 10 ft
πr²h = 500
3.14×r²×10 = 500
r² = 500/3.14×10
= 15.92..
= √15.92
r = 3.9899.. ≈ 3.99 ft
Which rule describes the composition of transformations that maps triangle BCD to triangle B""C""D""?
Answers
Answer:
(d)
Step-by-step explanation:
Given
See attachment for [tex]\triangle BCD[/tex] and [tex]\triangle B"C"D"[/tex]
Required
The transformations
Using B and B"" as points of reference, we have:
[tex]B = (1,4)[/tex]
[tex]B"" = (5,-1)[/tex]
The transformation is as follows:
First, reflect across y axis.
The rule is:
[tex](x,y) \to (-x,y)[/tex]
So, we have:
[tex]B(1,4) \to B'(-1,4)[/tex]
Next, translate 6 units right.
The rule is:
[tex](x,y) \to (x + 6,y)[/tex]
So, we have:
[tex]B' (-1,4) \to B"(-1 + 6,4)[/tex]
[tex]B' (-1,4) \to B"(5,4)[/tex]
Lastly, translate 5 units down
The rule is:
[tex](x,y) \to (x,y-5)[/tex]
So, we have:
[tex]B"(5,4) \to (5,4-5)[/tex]
[tex]B"(5,4) \to (5,-1)[/tex]
Hence; (d) is correct
A school found that the number of students buying lunch from the cafeteria had declined. The school wants to revise its current lunch menu.
They asked parents and students to suggest new meals.
Which method of selecting new meals will produce an unbiased result?
Answers
all the suggested meals will be shuffled into one stack and every 10th suggestion will be used
Mark buys Apple stock for $100 and its value increases by a factor of 1.5 each week. Which equation represents the relationship between the number of weeks past since purchase, t, and the current value of the stock, V?
Answers
Given:
Initial value of the stock = $100
Growth factor = 1.5 each week.
To find:
The equation that represents the relationship between the number of weeks past since purchase and the current value of the stock.
Solution:
Let V be the current value of the stock after t week.
The exponential growth model is:
[tex]V=ab^t[/tex]
Where, a is the initial value of stock, b is the weekly growth factor, t is the number of weeks.
Substituting [tex]a=100,b=1.5[/tex], we get
[tex]V=100(1.5)^t[/tex]
Therefore, the required equation for the given situation is [tex]V=100(1.5)^t[/tex].
what are these links people send when they answer a question what do they mean
Answers
Answer:
I'm not sure what you mean by this question. Please clear it up.
Step-by-step explanation:
Answer:
they are possibly ip grabbers/will redirect you to some scam page don't click on them (obviously)
Step-by-step explanation:
what is the approximate radius of the bowl shown that is shaped as a hemisphere
Answers
Answer:
Approximate radius of the given hemisphere is 3 in.
Step-by-step explanation:
Formula to calculate the volume of a hemisphere is given by,
V = [tex]\frac{2}{3}\pi r^{3}[/tex]
Since, volume of the given hemisphere in the picture = 56.52 in²
By substituting the value of V in the formula,
56.52 = [tex]\frac{2}{3}\pi r^{3}[/tex]
Now solve the expression for the value of 'r',
r³ = [tex]\frac{3}{2\pi }(56.52)[/tex]
r³ = 26.99
r = ∛(26.99)
r = 3 in.
Therefore, approximate radius of the given hemisphere is 3 in.
No Solutions
2x + 9 + 3x + x =
One Solution
2x + 9 + 3x + x =
x +
Infinitely Many Solutions
2x + 9 + 3x + x =
Answers
Answer:
.
Step-by-step explanation:
Find lim h 0 f(2+h)-f(2)/ h if(x)=x^ 2 .
Answers
Answer:
4
Step-by-step explanation:
Hey guys is this correct?.
Answers
Answer:
Step-by-step explanation:
is this quadrilateral a parallelogram?If yes, state the definition or theorem that justifies your answer.
Answers
Answer:
yes
Step-by-step explanation:
yes it is a parallelogram. As we can see it has opposite parallel sides. Opposite angles are equal. If we add another diagonal, the two diagonals will bisect each other.
FGH, m∠G= 30° and m∠H= 100°. What is the measure of ∠F?
Answers
Answer:
∠F = 50°
Step-by-step explanation:
The sum of all three angles in a triangle = 180°
∠F = 180° - 30° - 100° = 50°
Brainliest Which is a true statement about the solutions of the equation x/x-2 = x-3/2x
Answers
Mhanifa please help i will mark brainliest :)
Answers
Answer:
YesStep-by-step explanation:
Given triangles:
ΔTUV and ΔXYZVerify the ratio of corresponding sides:
TU/XY = 15/35 = 3/7UV/YZ = 21/49 = 3/7TV/XZ = 18/42 = 3/7Since the ratios are same, the triangles are similar
Leo and Maggie volunteer at the local bird sanctuary.
Volunteers carry walkie-talkies. Leo notices that his walkie-talkie’s battery charge is only at 20%.
When fully charged, the batteries last 12 hours. Leo thinks the walkie-talkie will last for his entire 3-hour shift
Answers
Answer:2.4
Step-by-step explanation:
12 * 20% = 12 * 0.20 = 2.4 hours
It will not last the entire shift.
exponential function b^y=x can be expressed as
Answers
Answer:
[tex] {b}^{y} = x \\ x = {b}^{y} \\ log_{b}x = y[/tex]
Brainliest for first correct awnser
Answers
Answer:
Step-by-step explanation:
x²y = k, where k is a real constant.
When x = 3.5, y = 8.
=> (3.5)²(8) = k, k = 98.
When y = 8/9,
we have x²(8/9) = (98).
=> x² = 110.25
=> x = 10.5 or x = -10.5.
Since we want the negative value,
the answer is x = -10.5.
Kate has a coin collection. She keeps 7 of the coins in a box, which is only 5% of her entire collection. What is the total number of coins in Kate's collection?
A- 12
B- 14
C- 120
D- 140
Answers
Answer:
672
Step-by-step explanation:
7×95=665
665+7=672
A card is drawn at random from a well-shuffled deck of 52 cards. what is the probability of drawing a face card or a spade?
Answers
Answer:
2/5 or 2:5
Step-by-step explanation:
Face Card:
The face cards in a deck are the Jack, Queen, and King. There are 4 of each card (1 in each suit), for a total of 12 face cards.
Spade:
1/4 of all the cards in a deck are spades, so 52/4= 13 spades.
When added, the numerator of the probability is 25, however, because the Jack, Queen, and King of Spades are duplicated, we have to subtract 3.
25-3=22
22/55
when simplified: 2/5
i need help pleeeeeeeeeease
Answers
Answer:
D. 140
Step-by-step explanation:
In the equation, [tex]ax^2+bx+c=0,[/tex] the discriminant can be found with [tex]b^2-4ac[/tex].
In this equation,
the discriminant would be: [tex](-10)^2-4(2)(-5)=100+40=140[/tex]
Answer:
D. 140
Step-by-step explanation:
D = b² - 4ac
So, let's identify our values.
a = 2
b = -10
c = -5
Now, we can plug in our values.
D = -10² - 4(2)(-5)
D = 100 + 40
D = 140
You choose two different movies on a list at random. Out of 10 movies on the list, 6 are action movies. The first movie you choose is an action movie. What is the probability that the second movie is also an action movie? Write your answer as a fraction in simplest form.
Answers
Answer:
5/9
Step-by-step explanation:
You have 10 movies in total. You take 1 out of 6 action movies. Now you have 5 action movies left, so that means the probability is 5/9. It's 5/9 because you chose 1 action movie out of 10 movies in total, so that means there are 9 movies in total left.
The volume of a certain cube can be found using the expression 53.
What is 53 written as a product of the same factor?
???? pls help my math test
Answers
Answer:
5×5×5
Step-by-step explanation:
hey it's your answer
have a great day dear
Answer:
5³ = 5*5*5Step-by-step explanation:
Volume of a cube:
V = a³, a- side of the cubeIf you have an expression 5³, it means 5 is multiplied by itself 3 times:
5³ = 5*5*5 = 125Find the mean of the following numbers.
64, 82, 74, 60
Answers
Answer:
70
Step-by-step explanation:
Simple math Add the numbers and devide by the number of numbers
(64+82+74+60)/4
Answer: 70
Step-by-step explanation:
To find the mean you add the numbers up then divide by how many numbers there are so when you add them up you get 280 and then divide that by 4 which is 70. hope this helps! :')
10k^2 - 10k + 2 = -k
Answers
Answer:
k=0 or k=9/10
Step-by-step explanation:
10k^2 - 10k- (-k) = - k- (-k)
10k^2-9k=0
k(10k-9)=0
k=0 or 10k-9=0
k=0 or k=9/10
Answer:k=(1/2,2/5)
Step-by-step explanation:
***NOTE YOU WOULD EARN 40 POINTS IF YOU ANSWER THIS QUESTION***
Answers
Answer:
mint
Step-by-step explanation:
If both fire their cannons at the same time, what is the probability that both the pirate and the Captain hit each other's ships?
Answers
Can someone please help me
Answers
Answer:
11^2*pi= 121pi
Step-by-step explanation:
3.14x121=121pi
There are 45 rows of tomato plants in the hydroponics farm at O'Brien's Farms Each row has 14 plants. 2/3 of the plants have sprouted. How many sprouted plants does O'Brien's have?
Answers
Answer: 420 sprouted plants
Step-by-step explanation:
First find the total number of tomato plants in the farm.
= Number of rows * No. of plants per row
= 45 * 14
= 630 plants
2/3 of them have sprouted so the number of sprouted plants is:
= 2/3 * 630
= 420 sprouted plants
what type of question can be solved using Cramer's rule?
Answers
Answer:
check the pdf .
Step-by-step explanation:
be smart and help me please i can’t fail again i will give branliest
Answers
Answer:
28%
Step-by-step explanation:
12+34+7=2856
Then, 2856/100 to get the percentage.