Answers
Answer:
We will use a Pythagorean identity and alegbra to prove this.
sin^2 + cos^2 = 1, dividing by cos^2 gives
tan^2 + 1 = sec^2.
Now, breaking down the fraction into parts and simplifying gives:
(1-sin^4)/cos^4 = 1/cos^4 - sin^4/cos^4 = sec^4 - tan^4
Now use difference of squares factoring from alegbra.
= (sec^2 + tan^2)*(sec^2 - tan^2)
By rewriting our Pythagorean identity to
sec^2 - tan^2 = 1 and tan^2 = sec^2 - 1,
we can finish the problem.
= (sec^2 + tan^2) * 1 = sec^2 + tan^2
= sec^2 + (sec^2 - 1) = 2*sec^2 - 1.
Related Questions
Determine whether the quadratic function shown below has a minimum or maximum, then determine the minimum or maximum value of the function.
f(x)=2(x−8) ^2−3
Answers
Answer:
It's a minimum, at (8, -3)
Step-by-step explanation:
Option 1: you unwrap the square , add like terms, and then recognize it's a parabola and find the coordinates of the vertex.
Or look at it as -3 + something ^2. It means you are adding something positive to -3, so the sum is greater or equal to -3, that is the definition of a minimum. At that point you find the minimum by setting that something equal to 0 (which gives you x = 8) and the value is -3 + 0 = -3
Samuel wants to use his earnings from Monday and Tuesday to buy some batteries that cost 5.60 each how many batteries can samuel buy
Answers
Answer:
i cannot answer this because i do not know hw much money he has made.
Step-by-step explanation:
how many times can 2 go into 67
fourth grade help
Answers
Answer:
Step-by-step explanation:
To answer this, divide 67 by 2, writing the answer as a mixed number:
67
---- = 33 1/2
2
thus, 2 can go into 67 33 times, keeping in mind that there's a remainder (1/2).
p l s… h e l p… m e…
Match the unknown entries in the two matrices with their correct values
Answers
Answers:
v = 54y = 0u = 6w = -48x = -1===================================================
Explanation:
The left hand side is
[tex]-6\begin{bmatrix}3 & -1 & 3\\8 & x & -9\\4 & -1 & y\end{bmatrix}[/tex]
That -6 outside the matrix is multiplied with each item inside the matrix. This is known as scalar matrix multiplication. Effectively, it's very similar to the idea of the distributive property.
So for the first row, we have the three columns of: -6*3 = -18 and -6*(-1) = 6 and -6*3 = -18
The other two rows are handled the same way. This is what should result:
[tex]-6\begin{bmatrix}3 & -1 & 3\\8 & x & -9\\4 & -1 & y\end{bmatrix}= \begin{bmatrix}-18 & 6 & -18\\-48 & -6x & 54\\-24 & 6 & -6y\end{bmatrix}[/tex]
From here, you'll then match up the terms in the given right hand side matrix. The top row has the variable 'u' in the middle, which matches with the '6' in the middle of the top row shown. Therefore, u = 6.
-----------------------------
Now to the second row.
The -48 in the first spot pairs up with the w in the other matrix. So we can see that w = -48. Similarly, we have v = 54.
Also, we have -6x in the middle which matches with the 6 in the same corresponding spot. Solving -6x = 6 leads to x = -1.
-----------------------------
Finally, the third row.
There's only one variable here and that's the variable y in the bottom right corner. It pairs up with 0 in the same corresponding spot for the right hand side matrix. Therefore, y = 0.
F(x) = x - 3√×
graph this function
Answers
Y intersects: (0, -square root of 3)
please i need help
How many rows of seats are inside the theater? Enter your answer in the box.
Answers
Answer:
24 rows
Step-by-step explanation:
384 seats in total, and 16 chairs in a row, so 384/ 16=
24 rows
Hope this helps!
LMK if it does
The table shows a linear relationship between x and y.
x
-6
-3
1
4
Y
21
13.5
3.5
-4
What is the slope of the line represented by the values in the table?
Answers
Hope this helps!! :)
What is the answer I’m so stuck on this one
Answers
the answer is B
P/s : i use my calculator
ok done. Thank to me :>
Option A is the answer
I need a help.... thankyouu to those who can ans. this:))
A. BSA Method
B. Clark's Rule
(20 points)
Answers
A
Step-by-step explanation:
just trust me that is the correct answer
Carla and Diane Bought identical suit cases at a different stores. Carla’s suitcase originally cost $85 and was on sale for 20% off the original price which suitcase was a the better deal? What do we know ? List important facts ? What do we want to find out ?? Solve ??? Show ur work? Explain starts ur Asnwer and give details ? And justify your steps ?
Answers
Answer:
Carla's was the better deal with $68.00
Diane's: $85.00
Step-by-step explanation:
0.2 x 85 = 17
85 - 17 = 68$
To find the equation of a regression line, ý = ax + b, you need these formulas:
8=13
--
b= y - az
S
A regression line has a slope of 2.334. If the mean of the x-coordinates of the
data points is 6.607, and the mean of the y-coordinates is 10.738, what is the
y-value of the y-intercept of the line to three decimal places?
A. -18.455
B. -4.683
C. 4.683
D. 18.455
Answers
Answer:-4.683
Step-by-step explanation:
Took the test
Let f(x)= – 2x-1, h(x) = - X+2.
Find (f o h)(-1).
Answers
(f o h)(-1) = ...
= f(h(-1))
= f(-1 + 2)
= -2(-1 + 2) - 1
= 2 - 4 - 1
= -2 - 1
= -3
Emily sells her books through Amazon. She makes a profit of $3 per book sale, however, she needs to pay $6 to Amazon Pay in fees for using their app. How many books would she need to sell to make a profit of at least $120 per day?
Answers
Answer:
Step-by-step explanation:
ASSUMING the usage fees are daily fees
120 = 3x - 6
126 = 3x
x = 42 books
Math experts please simplify this thank you
Answers
Answer:
t+4 / t-4
Step-by-step explanation:
(t^2 - 16) / (t^2 -8t +16)
=( t^2 - 4^2) / (t^2 - 2*4*t + 4^2)
by formula a^2 - b^2 = (a+b)(a-b)
= (t+4)(t-4) / (t-4)^2
= (t+4)(t-4) / (t-4)(t-4)
= t+4 / t-4
Please help if you can!
Answers
Answer:
-3
Step-by-step explanation:
that’s where the line intercepts with the y axis
Answer:
-3,0 is y intercept good luck
Convert 101100 2 to decimal
Answers
Answer:
The answer is 101100
You need 1 1/4 cups of sugar to make 20 cookies. To make 16 cookies you will need how much sugar?
Answers
Answer:
You need 1 cup of sugar.
Step-by-step explanation:
16/20 = 4/5
1 1/4 = 5/4
5/4 x 4/5 = 1
You need 1 cup of sugar.
If x^2 - (3x-a) (bx-1) = c, where a, b, and c are constants, what id the value of c?
A. 9
B. 7
C. 13
D. 2
Answers
A sunflower is 13 inches tall and grows 41 inches each month. The
sunflower's height is a linear function of time. Which statement best
describes the rate of change and initial value of this function?
A. The rate of change is the number of inches grown per month, and
the initial value is the first month.
B. The rate of change is the number of inches grown per month, and
the initial value is the starting height.
C. The rate of change is the starting height, and the initial value is the
number of inches grown per month.
D. The rate of change is the number of months per inch grown, and
the initial value is the first month.
Answers
Answer:The rate of change is the number of inches grown per month, and
the initial value is the starting height.
Step-by-step explanation:
The rate of change is the starting height, and the initial value is the
number of inches grown per month.
What is slope intercept form of line?The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept
Given,
A sunflower is 13 inches tall and grows 41 inches each month.
The sunflower's height is a linear function of time.
A linear function is a function whose graph is a straight line, that is, a polynomial function of degree zero or one.
y=13+41x.
Here x represents the number of months
13 is the initial height of the sunflower.
In the given options, The rate of change is the starting height, and the initial value is the number of inches grown per month is the statement best describes the rate of change and initial value of this function
Hence, The rate of change is the starting height, and the initial value is the number of inches grown per month
To learn more on slope intercept form click:
https://brainly.com/question/9682526
#SPJ2
What is the simplified form of the expression? 7r - 8r + 13 -2r + 5? Please help me
Answers
Answer:
- 3r + 18
Step-by-step explanation:
7r - 8r - 2r + 13 + 5 = 7r - 10r + 18
There are 10 board members on the Community Arts Council. In how many ways can a president and treasurer be chosen
Answers
Answer:
45
Step-by-step explanation:
This is a combination question: how many ways can you pick 2 people from a group of 10?
Using the notation C(10, 2) for the number of combinations of 10 things chosen 2 at a time...
[tex]C(10, 2)=\frac{10!}{2!(10-2)!}=\frac{10!}{2!\cdot 8!}=\frac{10\cdot 9}{2\cdot 1}=45[/tex]
Identify this function
f (x) =x
Answers
Answer:
linear
Step-by-step explanation:
Q
1). 20² + 20^2
nt : I from is Indonesian
Answers
Answer:
[tex]\red{\rule{4pt}{700000pt}}[/tex]
Step-by-step explanation:
hi
reposting this again because the first time didn’t work (please help!)
Answers
Answer:
I still can't open the file or I can't see it
Step-by-step explanation:
d = 10.2 ft, r = 0.5 ft/h
Answers
Answer:
20.4
Step-by-step explanation:
If you are using D = r × t
10.2 = 0.5(t)
10.2/0.5 = t
20.4 = t
Answer:
20.4
Step-by-step explanation:
An electrician charges a rate of $60 per hour plus a fee of $35 per job. Which expression represents the electrician's hourly rate?
60 + 35h
Answers
The hourly rate is 60, so multiply 60 by the number of hours (h) and add the fee:
Answer: 60h + 35
A car is traveling at a speed of 54 kilometers per hour. What is the car's speed in meters per second? How many meters will the car travel in 10 seconds? Do not round your answers.
Answers
100÷5+25×3=
AYUDAA ES PARA HOYYY
Answers
Answer:
95
Step-by-step explanation:
100 divided by 5 plus 25 times 3 is 95 :)
100/5=20
25x3=75
75+20=95
95
7x+3y=m, solve for y
Answers
We need to subtract 7x on both sides
Then divide the entire thing by 3
Decide where the first digit of the quotient should be placed without performing division The first digit of the quotient for 2,370 = 24 should be in the Choose... ones tens hundreds thousands
Answers
Answer:
tens place
Step-by-step explanation:
24 can't be into the thousands place or the hundreds place. hope this helps
Answer
hundredths place
Step-by-step explanation:
When performing long division, the first digit of the quotient appears over the least significant digit of the first portion of the dividend that is greater than or equal to the divisor.
Here, when performing long division we compare ...
64 vs 1 . . . no quotient digit
64 vs 15 . . . no quotient digit
64 vs 159 . . . the first quotient digit appears with the same place value as the 9 in 1.59. That is, the first quotient digit will be 0.02, 2 in the hundredths place.