Answer:
It is an identity, proved below.
Step-by-step explanation:
I assume you want to prove the identity. There are several ways to prove the identity but here I will prove using one of method.
First, we have to know what cot and cosec are. They both are the reciprocal of sin (cosec) and tan (cot).
[tex]\displaystyle \large{\cot x=\frac{1}{\tan x}}\\\displaystyle \large{\csc x=\frac{1}{\sin x}}[/tex]
csc is mostly written which is cosec, first we have to write in 1/tan and 1/sin form.
[tex]\displaystyle \large{1+(\frac{1}{\tan x})^2=(\frac{1}{\sin x})^2}\\\displaystyle \large{1+\frac{1}{\tan^2x}=\frac{1}{\sin^2x}}[/tex]
Another identity is:
[tex]\displaystyle \large{\tan x=\frac{\sin x}{\cos x}}[/tex]
Therefore:
[tex]\displaystyle \large{1+\frac{1}{(\frac{\sin x}{\cos x})^2}=\frac{1}{\sin^2x}}\\\displaystyle \large{1+\frac{1}{\frac{\sin^2x}{\cos^2x}}=\frac{1}{\sin^2x}}\\\displaystyle \large{1+\frac{\cos^2x}{\sin^2x}=\frac{1}{\sin^2x}}[/tex]
Now this is easier to prove because of same denominator, next step is to multiply 1 by sin^2x with denominator and numerator.
[tex]\displaystyle \large{\frac{\sin^2x}{\sin^2x}+\frac{\cos^2x}{\sin^2x}=\frac{1}{\sin^2x}}\\\displaystyle \large{\frac{\sin^2x+\cos^2x}{\sin^2x}=\frac{1}{\sin^2x}[/tex]
Another identity:
[tex]\displaystyle \large{\sin^2x+\cos^2x=1}[/tex]
Therefore:
[tex]\displaystyle \large{\frac{\sin^2x+\cos^2x}{\sin^2x}=\frac{1}{\sin^2x}\longrightarrow \boxed{ \frac{1}{\sin^2x}={\frac{1}{\sin^2x}}}[/tex]
Hence proved, this is proof by using identity helping to find the specific identity.
Your family took a road trip to Disneyland. For a part of the drive, your family drove 70 miles per hour for 4 hours. How far did your family drive for that portion of the trip?
Based on these calculations of driving 70 miles per hour for 4 hours, you must multiply 70 by 4.
70 x 4 = 280
For four hours of driving, the family drove 280 miles.
CU
1
A baby gains 11 pounds in its first year of life. The baby gained 4 a pounds during the first four months and 35 pounds in
its second four months. How much did the baby gain in the last four months?
o 31 pounds
o 33 pounds
O 4 pounds
O 5 pounds
Mark this and return
Save and Exit
Next
Submit
Answer:
He gained 31 pound in four months
Perform the following computation with radicals. Simplify the answer.
\sqrt{3}\cdot 2\sqrt{2}
Answer:
[tex]\sqrt{3}\cdot 2\sqrt{2}= 2 \sqrt{6}[/tex]
you can't simplify it any more
estimate the area of the following irregular shapes
will give brainliest
Answer: You need to count how many squares are shaded(at least half of it), therefore the area is 32 square units.
What is the answer
80x+56=100
Answer:
Ur answer buddy
The equation80x+56=100First, solve like this80x = 100 - + 56U have to know the formula - + = -+ + = -- - = ++ - = +
So, The answer is 80x = 44Now , we have divide 80/44 = 40/22 = 20/11= 1.8182.Hello!! :3
Please answer the question below.
-hello10olleh (hello)
Answer:
sequence B
Step-by-step explanation:
Answer:
IT SHALL BE Bbbbbbbbbbbbbbbbbbbbbbbbbbbb
HoPe ThIs HeLpS
What is the product of (6.2*10^4) * (3.4*10^-2)? I got 2,108. am I right?
Answer:
yes you are right
Step-by-step explanation:
Answer:
Yes, you are right!
Step-by-step explanation:
I hope this helps!
Kent had $280. He spent 3/7 of his money on a present and 1/4 of his money on a meal. How much money did Kent spend altogether
Answer:
$190
Step-by-step explanation:
he spent 3/7·(280), or $120 on a present
he spent 1/4·(280), or $70 on a meal
he spent $190 altogether
Can someone please help me .....
Answer:
y-6=3/5(x-6)
Step-by-step explanation:
The sum of a number times 3 and 16 is at least 16.
what is the total number of edges on a rectangular prism
Answer:
12 edges
Step-by-step explanation:
A rectangular prism has 6 faces, 8 vertices (or corners) and 12 edges.
Answer:
12
Step-by-step explanation:
solve question 5 all steps
Answer:
Answer in the pic with steps
Hope it helps
A doughnut company finds that its sales are
boosted by advertising according to the
600d
relationship S(d) = where S and d
10+ 0
represent sales and advertising, respectively,
in thousands of dollars. Calculate another
expression for S(d) by performing the
division shown.
Answer:
Hey will you marry me? serious question
If anyone knows how to do this please help, its for a test and I have to finish the course by 11:59 tonight
Answer: The answer to this inequality is C.
A number written in expanded form is 700,000 + 5,000 + 200 + 80 + 7. What is this number written in word form?
1 seven hundred five thousand, two hundred eighty-seven
2 seventy-five thousand, two hundred eighty-seven
3 seven hundred eighty-two thousand, five hundred seventy
4 seven hundred eighty-two thousand, five hundred seven
can i please have help with this question
brainliest for answer
Answer:
yes I can help
Step-by-step explanation:
which one please
The square root of pie must be at less ten numbers long
The square root of pi is 1.77245385091.
Geet sells televisions. He earns a fixed amount for each television and an additional $25 if the buyer gets an extended warranty. If Geet sells 19 televisions with extended warranties, he earns $1,425. How much is the fixed amount Geet earns for each television?
Answer:
50 dollars.
Step-by-step explanation:
19 x 25= 475
1,425 - 475= 950
950 divided by 19 is 50.
Multiply and combine like terms to determine the product of these polynomials:
(2x + 3)(5x − 6)
Answer:
10x^2+3x-18
Step-by-step explanation:
Which statement about the slope of the line is true?
It is −2 throughout the line.
It is fraction negative 1 over 2 throughout the line.
The slope from point O to point A is one-half times the slope of the line from point A to point B.
The slope from point O to point A is two times the slope of the line from point A to point B.
Explanation:
Let's say we started at point B (-6, 3). To get to point A(-4,2), we move down 1 and to the right 2. This movement determines the slope.
slope = rise/run = -1/2
rise = -1 and run = 2
A negative rise value means we go downhill when moving to the right.
Write the standard form of a polynomial functions whose zeros/roots are
4-3i, 4+3i
and has a lead coefficient of 1
Answer:
In other words, x = r x = r is a root or zero of a polynomial if it is a solution to the equation P (x) =0 P ( x) = 0.
Step-by-step explanation:
If there is a 30% chance of snow today and a 10% chance of snow tomorrow, what is the chance that it will not snow today and tomorrow? Write your answer as a percent.
Answer:
The weather forecast says that there is a "30% chance of rain," and we think we understand what it means. This quantitative statement is assumed to be unambiguous and to convey more information than does a qualitative statement like "It might rain tomorrow." Because the forecast is expressed as a single-event probability, however, it does not specify the class of events it refers to. Therefore, even numerical probabilities can be interpreted by members of the public in multiple, mutually contradictory ways. To find out whether the same statement about rain probability evokes various interpretations, we randomly surveyed pedestrians in five metropolises located in countries that have had different degrees of exposure to probabilistic forecasts--Amsterdam, Athens, Berlin, Milan, and New York. They were asked what a "30% chance of rain tomorrow" means both in a multiple-choice and a free-response format. Only in New York did a majority of them supply the standard meteorological interpretation, namely, that when the weather conditions are like today, in 3 out of 10 cases there will be (at least a trace of) rain the next day. In each of the European cities, this alternative was judged as the least appropriate. The preferred interpretation in Europe was that it will rain tomorrow "30% of the time," followed by "in 30% of the area." To improve risk communication with the public, experts need to specify the reference class, that is, the class of events to which a single-event probability refers.
Solve the system of linear equations by substitution: (SHOW UR WORK)
y=5x-6
y=4x-2
Answer:
x = 4
y = 2
Step-by-step explanation:
1) y = 5x - 6
2) y = 4x - 2
sub 1 into 2
5x - 6 = 4x - 2
5x - 4x = 6 - 2
x = 4 ---> (3)
sub 3 into 2
y = (4 * 1) - 2
y = 4 - 2
y = 2
Answer:
4
Step-by-step explanation:
Since they both equal y, they are both equivinlent
[tex]5x-6=4x-2[/tex]
[tex]5x=4x+4[/tex]
[tex]x=4[/tex]
CHECK
[tex]20-6=16-2[/tex]
[tex]14=14[/tex]
A. Express the following in scientific notation 1.0.948901 2.11,000,000 3.0.08907
Answer:
answer should be c good luck
PLEASE HELP I"LL GIVE BRAINLEST
Carl solves 12 multiplication problems for every 4 addition problems. If he solves 23 addition problems, how many multiplication problems does he solve?
46 multiplication problems
92 multiplication problems
69 multiplication problems
54 multiplication problems
Answer:
92 4× 23
Step-by-step explanation:
sorry if im incorrect
Answer:
Carl solves 69 multuplication problems
Use the distributive property to remove the parentheses.
-9(-6u+v-5)
I need help- I’ll get brainly list
Answer:
54u - 9v + 45
Step-by-step explanation:
distributive property
Each car on a commuter train can seat 114 passengers. If the train has 7 cars how many passengers can it seat??
Help me!!!
Select True or False to correctly classify each inequality.
Inequality True False
2.6≤2.6 true or false
−6<−6true or false
3.1>−3.1 true or false
−5≥--5 true or false
[tex]2.6\le2.6[/tex] classifies as [tex]\text{true}[/tex]
[tex]-6<-6[/tex] classifies as [tex]\text{false}[/tex],
[tex]3.1>-3.1[/tex] classifies as [tex]\text{true}[/tex]
so [tex]-5\ge -5[/tex] classifies as [tex]\text{true}[/tex]
To classify the statements, we need to evaluate each of them:
[tex]\text{Evaluate }2.6\le2.6\\\implies (2.6<2.6)\text{ or }(2.6=2.6)\\\implies \text{false or true}\\\implies\text{true}[/tex]
so [tex]2.6\le2.6[/tex] classifies as [tex]\text{true}[/tex], since the statement also allows [tex]2.6[/tex] to be equal to itself.
[tex]\text{Evaluate }-6<-6\\\implies\text{false}[/tex]
so [tex]-6<-6[/tex] classifies as [tex]\text{false}[/tex], since [tex]-6[/tex] is equal to itself, not smaller.
[tex]\text{Evaluate }3.1>-3.1\\\implies \text{true}[/tex]
so [tex]3.1>-3.1[/tex] classifies as [tex]\text{true}[/tex], since [tex]x>-x[/tex], for all real numbers
[tex]\text{Evaluate }-5\ge-5\\\implies (-5>-5)\text{ or }(-5=-5)\\\implies \text{false or true}\\\implies\text{true}[/tex]
so [tex]-5\ge -5[/tex] classifies as [tex]\text{true}[/tex], since the statement also allows [tex]-5[/tex] to be equal to itself.
Learn more about inequalities here: https://brainly.com/question/24786628
WILL GIVE BRAINLY,5 STARS,AND THANKS
Answer:
Step 1: 10 group(s) of 23 = 230
Step 2: 6 group(s) of 23 = 138
Step 3: Add the partial quotients: 10 + 6 = 16
Step-by-step explanation:
For step one you can tell that 230/10 is 23. You can tell this because of the zero at the end of the number. Anything multiplied by 10 is that number but with a zero at the end. For step 2 you kind of have to do long division, or you can use a calculator. You will end up with 6. When you add the partial quotients, it means add the answers to steps 1 and 2 together and get 16. This should be right hope it helps!
Answer
From the results, we can conclude:
230=23×10
138=23×6
Therefore:
Step 1: 10 groups of 23 = 230
Step 2: 6 groups of 23 = 138
Step 3: Add the partial quotients: 10 + 6 = 16
answer 10 + 6 = 16
⦁ Determine the zeros of f(x) = (x + 1)^2(x – 3)(x – 4). Indicate the multiplicity of any factors that occur more than once.
Answer:
see explanation
Step-by-step explanation:
To find the zeros equate f(x) to zero , that is
(x + 1)²(x - 3)(x - 4) = 0
Equate each factor to zero and solve for x
x- 4 = 0 ⇒ x = 4
x - 3 = 0 ⇒ x = 3
(x + 1)² = 0 ⇒ (x + 1) = 0 , x + 1 = 0 ( 2 factors ) , then
x = - 1 with multiplicity 2
