Answers
Answer:
[tex]\frac{1-\tan x }{1+\cot x}[/tex]
Step-by-step explanation:
Let [tex]\frac{\sin 2x+\cos 2x-1}{\sin 2x+\cos 2x + 1}[/tex], we proceed to prove the given identity by trigonometric and algebraic means:
1) [tex]\frac{\sin 2x+\cos 2x-1}{\sin 2x+\cos 2x + 1}[/tex] Given
2) [tex]\frac{2\cdot \sin x \cdot \cos x +\cos ^{2}x - \sin^{2}x-1}{2\cdot \sin x \cdot \cos x +\cos ^{2}x - \sin^{2}x+1}[/tex] [tex]\sin 2x = 2\cdot \sin x \cdot \cos x[/tex]/[tex]\cos 2x = \cos^{2}x - \sin^{2}x[/tex]
3) [tex]\frac{2\cdot \sin x \cdot \cos x -\sin^{2}x-(1-\cos^{2}x)}{2\cdot \sin x\cdot \cos x +\cos^{2}x+(1-\sin^{2}x)}[/tex] Commutative, associative and distributive properties/[tex]-a = (-1)\cdot a[/tex]
4) [tex]\frac{2\cdot \sin x \cdot \cos x -2\cdot \sin^{2}x}{2\cdot \sin x \cdot \cos x +2\cdot \cos^{2}x}[/tex] [tex]\sin^{2}x + \cos^{2}x = 1[/tex]
5) [tex]\frac{(2\cdot \sin x)\cdot (\cos x-\sin x)}{(2\cdot \cos x)\cdot (\sin x +\cos x)}[/tex] Distributive and associative properties.
6) [tex]\frac{\sin x\cdot (\cos x-\sin x)}{\cos x\cdot (\sin x +\cos x)}[/tex] Existence of multiplicative inverse/Commutative and modulative properties.
7) [tex]\frac{\frac{\cos x -\sin x}{\cos x} }{\frac{\sin x + \cos x}{\sin x} }[/tex] [tex]\frac{\frac{x}{y} }{\frac{w}{z} } = \frac{x\cdot z}{y\cdot w}[/tex]
8) [tex]\frac{\frac{\cos x}{\cos x}-\frac{\sin x}{\cos x} }{\frac{\sin x}{\sin x}+\frac{\cos x}{\sin x} }[/tex] [tex]\frac{x+y}{w} = \frac{x}{w} + \frac{y}{w}[/tex]
9) [tex]\frac{1-\tan x }{1+\cot x}[/tex] Existence of multiplicative inverse/[tex]\tan x = \frac{\sin x}{\cos x}[/tex]/[tex]\cot x = \frac{\cos x}{\sin x}[/tex]/Result
Related Questions
Evaluate the expression if a= -5 and b=-2.
a + 3b
A:4
B:1
C:11
D: -11
Answers
Answer:
D.-11
Step-by-step explanation:
Please help me with this equation, you are supposed to find x
Answers
Answer:
I believe its 2/3
Step-by-step explanation:
A line passes through the point (3,1) and has a slope of 2.
what is the y-intercept?
Answers
Answer:
-5
Step-by-step explanation:
First, we can plug all the given values into the equation y=mx+b. This is called slope-intercept form. m is the slope and b is the y-intercept. To find the y-intercept, we solve for b.
y=mx+b
1=2(3)+b
1=6+b
Subtract both sides by 6
1-6=6+b-6
-5=b
Therefore, the y-intercept is -5.
Ocean waves move in parallel lines toward the shore. The figure shows the path that a windsurfer takes
across several waves. For this exercise, think of the windsurfer's wake as a line. Ifm 21 = (5x + 5y)" and
m 22 = (5x + y)', find x andy.
Answers
Answer:
nopw
Step-by-step explanation:
1. What is 8 turbo jets raised to the power of 4?*
Answers
Answer:
4096
Step-by-step explanation:
Hey there!!!!
8 raised to the power of 4 = [tex]8^{4}[/tex]
[tex]8^{4}[/tex] = 8*8*8*8
if we multiply:
8*8=16
16*8= 128
128*8 = 4096
hope this helps :)
what's the number line shows the solution to n > 0
Answers
simplify: -x - 10.25(16 - 4)
Answers
Simplified answer: -x-123
easy! what is the area of the circle
Answers
Answer:
#2
Step-by-step explanation:
The endpoints of AB are given. Find the coordinates of the midpoint M. Then find AB. Round your answers to the nearest tenth, if necessary.
A(2,-1), B(10,7)
M( , )
AB=
Answers
(X1+X2/2, Y1+Y2/2)
So then you plug in the numbers
(2+10/2,-1+7/2)
And then you solve
Midpt=(6,3)
To find AB we have to use distance formula
d= the root^2 of X1-X2^2+Y1-Y2^2
So we plug in numbers
10-2^2+7+1^2( subtracting a negative # is the same as adding)
Then you solve
64+64= 128
Square root(128)=11.3137085
Round it
AB= 11
ASAP ASAP HELP HELP... ASAP
Answers
Step-by-step explanation:
hey..choose option c
[tex]18\frac{3}{64} [/tex]
Solve the following proportion then explain how you got the answer: 18n = 6/10
Answers
46 = 3b + 70
What is b?
Answers
Answer:b=8
Step-by-step explanation:
3b=70-46
3b=24
b=24/3
b=8
PLSSSSSSSSSSSSSSSSSSSSSSSSSSSSS HELP PLS
Answers
Answer:
girlll so much work
Step-by-step explanation:
HELP I NEED HELP ASAP
Answers
I think the answer is A
pls help asap
A circle is subdivided by a central angle of 90 degrees. The length of the subtended arc is 25 mm. What is the radius of the circle?
Answers
Answer:
15 .9
Step-by-step explanation:
Answer:
2250
Step-by-step explanation:
All you do is 90x25 which is 2250
pls mark brainliest
Consider the graphs below. Which is the correct graph for y=2(x - 3)2 +1
Answers
Answer:
J(x)
Step-by-step explanation:
Answer:
J(x)
Step-by-step explanation:
follow my i.g yfbg.jay
Answers
Answer:
ok
Step-by-step explanation:
when she got in her car to drive to work,Mia had 11 1/2 gallons of gas in her tank. if she used 1/8 of the gas in her tank to get to work, how much gas does she have left?
Answers
ZB=
Round your answer to the nearest hundredth.
7
B
C
?
4
A
Answers
Answer:
29.74 I did this already so yea
What is the number between 0.25 and 0.125
Answers
Answer:
0.100
Step-by-step explanation:
Could be possible.
The number between 0.25 and 0.125 is 0.2.
What is a number system?A number system is a system of representing numbers, including integers, rational numbers, real numbers, and complex numbers, using a set of symbols and rules for manipulating those symbols.
Different number systems use different symbols and rules for representing and manipulating numbers.
To see why we can convert both 0.25 and 0.125 to fractions with a common denominator of 1000:
0.25 = 250/1000
0.125 = 125/1000
Now we can see that 0.2 (or 200/1000) is between the two numbers:
125/1000 < 200/1000 < 250/1000
In decimal form, 0.2 is between 0.25 and 0.125.
The number between 0.25 and 0.125 is 0.2.
To see why we can convert both 0.25 and 0.125 to fractions with a common denominator of 1000:
0.25 = 250/1000
0.125 = 125/1000
Now we can see that 0.2 (or 200/1000) is between the two numbers:
125/1000 < 200/1000 < 250/1000
In decimal form, 0.2 is between 0.25 and 0.125.
To know more about the number system follow
https://brainly.com/question/11966194
#SPJ2
Someone help worth 5 points
Answers
Answer:
43
Step-by-step explanation:
Answer:
b 43 on edge 2021.........
The population of a town is 132,00. The population increases 4% a year. What will be the population in 8 years?
Answers
9514 1404 393
Answer:
180,651
Step-by-step explanation:
Each year, the population is multiplied by the factor 1 + 4% = 1.04. After 8 years, it will have been multiplied by that factor 8 times. We indicate repeated multiplication like that using an exponent.
population in 8 years = 132,000 × 1.04^8 ≈ 180,651
The radius of a circle is 5 centimeters. Find the circumference of the circle.
Answers
Answer:
31.42cm
Step-by-step explanation:
C=2πr=2·π·5≈31.41593cm
Solution: Circumference = 31.4 cm ✅
[tex]\searrow[/tex]
Detailed explanation:
Hii, I'd love to help you out! (:
This problem is all about circles; how fun!
What we need to do is find the circumference of a circle with a 5-cm radius.
[tex]\searrow[/tex]
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .Yepp! This is only fun if we're familiar with the required formula.
The formula is shown below.
[tex]---\twoheadrightarrow\sf C=2\pi r[/tex]
Here "C" denotes the circumference,
"[tex]\pi[/tex]" denotes the number pi, *
and "r" denotes the radius.
This question provides us:
Radius = 5 cm.[tex]\searrow[/tex]
* The number pi is an irrational number, which means we cannot write it as a fraction, no matter how hard we try. Can you imagine this? There are infinitely many digits after its decimal point.
So what I'm going to do is use 3.14 for pi
3.14.....∞ Wow!
[tex]\underbrace[/tex]
Alright, so now it's time... to have fun solving for the circumference!
[tex]---\twoheadrightarrow\sf C=2\cdot3.14\cdot5[/tex]
[tex]\bullet[/tex] Multiply
[tex]---\twoheadrightarrow\sf C=31.4\;\;cm[/tex]
That's all! See, it's ez as winking (;
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .Voila! There's our answer!
Cheers!! ^-^[tex]\searrow\swarrow[/tex]
________________________
Hope I helped! Best wishes!
Reach far. Aim high. Dream big.
"reflection"
_______________________
⚜
which is equivalent?
Answers
Answer:
the second one is it I think
which letter would be the most meaningful variable for this problem situation? the distance a bike travels divided by 3!
Answers
Answer:
We could use 'd' as a variable to represent distance. And since distance is the most important thing in this question, the most important variable would be 'd'.
Is this what you were asking?
I hope I could help. (๑•～•)
HELP ME PLEASE!!! I DON'T UNDERSTAND!
Answers
Answer: 12
Step-by-step explanation:
this is a right angled triangle so you use the pythagorean theory
which is a^2 + b^2 = c^2
you have c and b already. c is the hypotenuse.
a^2 + 16^2 = 20^2
a^2 + 256 = 400
a^2 = 400 - 256
a^2 = 144
then you square root 144 and get..
a = 12
Answer:
I believe that the answer is 12 but find someone who knows for sure.
Tony spent $49 at the fair. Molly spent $14 more than twice as much as tony spent. How much did the two spend in all?
Answers
Answer:
Amount spent by Tony = $49
Amount spent by Molly = 2 * 14
[49] + [2*49 + 14 ] = $161 = amonut spent by both
*Me trying to remove what i wrote by accident* ;-;
Can someone help me please?
Answers
Good. I hope you get locked, most mainly banned. Nobody needs you, “FrIsK”
please help me:(
*will give a brainist*
Answers
Answer:
we ended the Bubba pregnant woman he is not in there by the Monon the man that want to be. DMV
Sidney skated for 1 1/10 hours last month and 8 7/10 hours this month. How many
hours did Sidney skate in all?
Answers
Answer:
the number of hours does sidney skate in all is 9.8 hours
Step-by-step explanation:
The computation of the number of hours does sidney skate in all is as follows:
= Last month + this month
[tex]= 1 \frac{1}{10} + 8 \frac{7}{10}\\\\= \frac{11}{10} + \frac{87}{10}\\\\= \frac{98}{10}[/tex]
= 9.8 hours
Hence, the number of hours does sidney skate in all is 9.8 hours