Consider LHS
(sinθ/1+cosθ) + (1+cosθ/sinθ) =
= [sinθ(sinθ)+(1+cosθ)+(1+cosθ)]/[(1+cosθ)(sinθ)]
= [sin²θ+(1+cosθ)²]/[(1+cosθ)sinθ]
= [sin²θ+1+cos²θ+2cosθ]/[(1+cosθ)sinθ]
[°.° (a+b)² = a²+2ab+b²]
Here, a = 1, b = cosθ
= [(sin²θ+cos²θ)+1+2cosθ]/[(1+cosθ)sinθ]
= [1+1+2cosθ]/[(1+cosθ)sinθ]
[°.° sin²θ+cos²θ = 1]
= [2+2cosθ]/[1+cosθ)sinθ]
= [2(1+cosθ)]/[(1+cosθ)sinθ]
= 2/(sinθ)
[°.° 2/sinθ = cosecθ]
= 2cosecθ = RHS.
Hence, Proved.
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Similar Questions
If cosθ =1/3 , then sinθ = _____.
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Verify the identity. cotθ * sinθ * secθ = 1 Which of the following four statements establishes the identitiy? A. cotθ *sinθ *secθ = sinθ/cosθ * sinθ * 1/cosθ = ...
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Brainly Team
Jessica had 289 dollars to spend on 7 books. After
buying them she had 16 dollars. How much did each book cost?
Answer:
39
Step-by-step explanation:
289-16= 273
273/7= 39
Hope this helps! :)
Answer:
$39
Step-by-step explanation:
let b = cost of each book
289 - 7b = 16
-7b = -273
b = 39
Please answer! :(
Write YES if each equation below is Linear Equation in two variables, otherwise, NO.
___1. 4x - 2y = 1
___2. 6x² + 4y = 8
___3. m - 1n/2 = -8
___4. 1/y = 5
___5. 2x - 3y + 7 = 0
___6. 2a + 5 = 0
Please explain if possible, thank youu! :)
Linear Equation in two variables?
1. 4x - 2y = 1 ⇒ Yes 2. 6x² + 4y = 8 ⇒ No, the variable x has degree 2, not linear 3. m - 1n/2 = -8 ⇒ Yes 4. 1/y = 5 ⇒ No, one variable 5. 2x - 3y + 7 = 0 ⇒ Yes 6. 2a + 5 = 0 ⇒ No, one variablePls solve this I don't get it
Convert
1.8125 gallons to cups
Answer: 1.8125 gallons = 29 cups
Step-by-step explanation:
There are 16 cups in a gallon. Therefore, to convert gallons to cups we multiply the number of gallons by 16.
The number of gallons, in this case, is: 1.8125
So, we need to multiply 1.8125 by 16
1.8125 ⋅ 16 = 29
In the final analysis, 1.8125 gallons is equal to 29 cups.
, Hope this helps :)
Have a great day!!
What is the vertex for:
y=−7(x−2)2
Question 7 options:
(-7,-2)
(2,0)
(-2,0)
(-7, 2)
Answer:
you factories the equation
What value does the 4 represent in number 487.009
Answer:
400
cause 4 is in the hundreds column
Find the perimeter. Simplify your answer.
Answer:
3s+10s+10s+3s=9+3+3+9
26s=24
s=26+24
s=50 cm
15 POINTS! NEED ANSWER RIGHT AWAY!!!
Select from the drop-down menus to correctly complete the statements about the expression 5k + m/3.
The expression 5k + m/3 is a Choose… [sum or difference]. The term 5k is an addend, but it is also a Choose…[product or difference]. The term m/3
is an addend, but it is also a Choose…[sum or quotient].
Answer:
911
Step-by-step explanation:
The expression 5k+m3 is a sum. The term 5k is an addend, but it is also a product. The term m3 is an addend, but it is also a quotient.
Write 10 10 10 10 10 with an exponent.
Answer:
10 5 ( Exponent )
Hope it helps
HELP ASAP im failing math plz help
Answer:
x + 9
y + 11
(IGNORE, This part will fill the 20 letter minimum limit)
Miss Rudolph recorded the change in temperature of a cooling liquid as -27.5 Fahrenheit over 2.5 minute. The temperature fell at a constant rate what was the rate of change in the temperature
Step-by-step explanation:
how many cups of water do you need to fill in one jar maths
if someone can help me answer these questions ill mark u as a brainliest! thank u if u help! :)
Answer:
u = 20, v = 1
Step-by-step explanation:
Here, we can assume that the triangles are congruent for the purposes of solving the problem. Because they are congruent, by the HL right triangle congruency theorem, the hypotenuse and leg of each triangle have to be the same.
Therefore:
[tex]v+23=u+4\\19v+41=2u+20[/tex]
Now, you can simply solve the system of equations for v and u.
I will solve by substitution:
[tex]v+23=u+4\\v=u-19[/tex]
Now, plug that into the other equation:
[tex]19(u-19)+41=2u+20\\19u-361+41=2u+20\\19u-320=2u+20\\17u-320=20\\17u=340\\u=20[/tex]
Finally, plug that back into the first equation:
[tex]v+23=20+4\\v+23=24\\v=1[/tex]
u = 20, v = 1
Find an
angle in each quadrant with a common reference angle with 280°, from
0°
Answer:
Step-by-step explanation:180
Answer:
80
Step-by-step explanation:
i don't know if it is right
What is an equation of the line that passes through the point (-1,-6) and is perpendicular to the line x+6y=6
Answer:
Well x + 6y = 6 can be written 6y = -1x + 6 or y = (-1/6)x + 1. Any line perpendicular to this line will have a slope that is the multiplicative inverse of -1/6 which is +6
So the line passing through( -1,-6) having slope 6 is (y - -6) / (x - -1) = 6 or…………..(y + 6) / (x + 1) = 6 and multiplying both sides by x + 1 gives y+6 = 6(x + 1) and finally subtracting 6 we have y = 6(x+1) - 6 or y = 6x + 0.
This turns out to be a line that passes through the origin having slope 6/1
Step-by-step explanation:
Plzzz help mee plzzz help meee plzzz
Answer:
Answer is 2,000 option (B)
3) Which table does NOT represent a function?
A) A
B) B
C) C
D) D
Answer:
I think it's c pick c it's c
Answer:
the answer is d
Step-by-step explanation:
A function can not have an input with more than one outcome
What is the opposite of the opposite of -1.9 situated on a number line?
Like whattt
The opposite of -1.9 on a number line would be 1.9.
The opposite of the opposite of -1.9 would be -1.9.
That is a super weird trick question... what kinda teacher would give that to you???
what divided by 13 is 4
Answer:
52Step-by-step explanation:
what divided by 13 is 4
4 * 13 = 52
----------------------------
check
52 : 13 = 4
the answer is good
Answer:
52
Step-by-step explanation:
Need help with this.
Answer:
A. The reciprocal of 9/10 is 10/9
B.2/3
Step-by-step explanation:
A. A reciprocal is the inverse of a number
B. 3/5*10/9=
30/45 or 2/3
the price of a machine is given as GHC 20,000 plus VAT. If the VAT rate is 12%, find the price that a customer must pay for the machine.
Answer:
Step-by-step explanation:
12/100 × 20000
= 2400
Price customer must pay = 20,000+ 2400 = 22400.
If price of a machine is given as GHC 20,000 plus VAT. If the VAT rate is 12%. Then 22400 is the price that a customer must pay for the machine.
What is Percentage?Percentage, a relative value indicating hundredth parts of any quantity.
Given,
The price of a machine is given as GHC 20,000 plus VAT
The VAT rate is 12%,
We need to find how much a customer has to pay for the machine..
12% is changed to decimal number by dividing with 100.
12/100=0.12
Now multiply 20000 with 0.12 to find 12% of 20000
0.12×20000=2400
Now we have to add 2400 with 20000 to get the cost of machine after adding VTA
20000+2400=22400
Hence 22400 is the price that a customer must pay for the machine.
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simplify the equation
Can someone please tell me how to subtract 1 3/8 by 3/4
Please help!
Answer:
2 1/8
Step-by-step explanation:
In order to subtract two fractions with unlike denominators, you have to bring them to THE SAME denominator. You can do that by multiplying both the numerator and denominator of 3/4 by 2 (so it can have a denominator of 8) to get 6/8. Then, simply add 1 3/8 and 6/8 by combining the numerators and keeping the denominators the same. You should get 1 9/8 which is, as a mixed number, 2 1/8
what i can do what can i do
Answer:
thanks for the points have a nice day
1. Beth is buying 3 pounds of chicken thighs for $1.29 per pound. How much will she pay?
How many servings will the thighs provide?
Based on the cost of the chicken thighs per pound, Jackie would pay a total of $3.87
The chicken thighs cost $1.29 per pound purchased.
The cost of 3 pounds is:
= Cost per pound x Number of pounds
Solving would give:
= 1.29 x 3
= $3.87
In conclusion, Beth will pay $3.87 for the chicken. There isn't enough data to know the number of servings.
Find out more at https://brainly.com/question/21511823.
I don’t know what the answer is
solve for x, find the measure of all angles hurryyyyyy!
Answer:
Step-by-step explanation:
Well the first fact is that you can solve H and J with 1 equation. Two remote (unconnected to) one of the exterior angles when summed, equals the unconnected exterior angle.
H + j are not connected to the exterior angle at I.
Put more directly
2x + 3x = 150 Combine
5x = 150 Divide by 5
x = 150/5
x = 30
So H = 2 * 30 = 60
and J = 3*30 = 90
All triangles have interior angles that add up to 180
We have already accounted for 150.
JIH + 150 = 180 Subtract 150
jIH = 180 - 150 = 30
Summary
x = 30
JIH = 30
H = 60
J = 90
Mary spent a total of $354.30 for a party. She spent $200.90 on food, plus an additional $30.68 for each hour of the party. How long was the party?
Answer:
About 5 hours
Step-by-step explanation:
Hope it helps
Write inequalities if the amount of of quarts of paint needs to be between 1 and 2 quarts
Answer:
1 ≤ q ≤ 2
Step-by-step explanation:
If q represents the number of quarts of paint needed, the requirement that it be between 1 and 2 can be written ...
1 ≤ q and q ≤ 2
These inequalities can be combined into one compound inequality:
1 ≤ q ≤ 2
__
Additional comment
We have used the usual English language interpretation of "between", which allows the end values to be considered as part of the solution set. That is, 1 quart is sufficient to satisfy the need for "between 1 and 2."
Directions: Solve for x, then find each angle measure
Answer:
Step-by-step explanation:
the sum of the interior angles of a triangle is 180°
so
9x + 3 + 11x - 21 + 5x - 2 = 180
25x = 180 - 3 + 21 + 2
25x = 200
x = 200 : 25
x = 8
----------------
E = 9 * 8 + 3 = 75°
D = 5 * 8 -2 = 38°
F = 11 * 8 - 21 = 67
-------------------------
check
75 + 37 + 67 = 180°
The required simplified value of the x is 8, as of the given condition.
A figure of the triangle is given, from the measures of the angle we have to determine the value of the x.
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
As for the property of a triangle, the sum of the angle is 180,
5x - 2 + 11x -21 + 9x + 3 = 180
25x -20 = 180
25x = 200
x = 8
Thus, the required simplified value of the x is 8.
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How to solve this question? :)
Answer:
I think it's 20 i don't know man