cos
(
x
)
+
sin
(
x
)
tan
(
x
)
=
sec
(
x
)
The solution is, the simplified value of the expression is, 1.
To simplify the expression, we need the trigonometric identities given:
we know that,
1. cot=1/tan
2. tan=sin/cos
3. sec=1/cos
so, we have,
cot θ sec θ sin θ = 1/tanθ(1/cosθ)sinθ
= (1/(sinθ/cosθ))(1/cosθ)sinθ
= (cosθ / sinθ) (1/cosθ)sinθ
= 1
The expression is equal to 1.
To learn more about trigonometric relations click :
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Jack wanted to make note cards by cutting pieces of paper in half. Before starting he got two more pieces to use. When he was done he had 24 half-pieces of paper. With how many pieces did he start? A) 11 B) 9 C) 8 D) 10
Answer:
D) 10
Step-by-step explanation:
We are told in the question:
Jack wanted to make note cards by cutting pieces of paper in half. . When he was done he had 24 half-pieces of paper.
Step 1
Divide the number of half pieces by 2 to get the number of whole pieces that was cut
= 24 half pieces/2
= 12 full pieces
Step 2
With how many pieces did he start?
We are told in the question that: Before starting he got two more pieces to use
Hence: The number of pieces he started is calculated as:
12 pieces - 2 pieces
= 10 pieces
Hence, he started with 10 pieces
6 G
[tex]21x4[/tex]
what is it? brainiest to to who gets it
Answer:
21 x 4 is 84
Step-by-step explanation:
6G (sixth-generation wireless) is the successor to 5G cellular technology -- 6G networks will be able to use higher frequencies than 5G networks and provide substantially higher capacity and much lower latency.
Which statement about proteins is TRUE?
A) You cannot consume complete proteins if you eat a vegetarian diet.
B) Animal products like meat and dairy provide complete proteins.
C) Beans provide all the amino acids the body needs.
D) During digestion, your body combines proteins to make amino acids.
Answer:
The answer is
A.) Animal products like meat and dairy provide complete proteins.
Hope this helps! Have a great day :)
Step-by-step explanation:
2(3v−5)=2(v−11)−4
what is v?
Answer:
-4
Step-by-step explanation:
1. 6v-10=2v-22-4
2. 4v-10=-26
3. 4v=-16
4. v=-4
PLEASE HELP !!!! I NEEDA SLEEPP
Answer:
PQR and VXW
Step-by-step explanation:
1.
State the domain and the range for the given relation.
Domain:
Range:
Answer:
The domain is [-6,6] and the range is [0,6]
Step-by-step explanation:
Remember that the domain is your x-values from left to right and your range is your y-values from down to up. Since the graph doesn't go outward or onward, we have to put in brackets for each parenthesis because it stops at a specific location in which it is needed when graphing parabolas and other slopes.
Plz help asappppp I’ll give brainliest
Answer: c I think
Step-by-step explanation:
Please help !!! I neeed this ASAP please
I can do a and b for you but im unsure about c and d. I'm sorry :((
a. x = 2
It is the only point that hits the x axis, thus making it a zero of f(x).
b. substitute 2 for x in the original equation and it should equal 0.
f(x)= x^3 - 2x - 4
f(x)= 2^3 - 2(2) -4
f(x)= 8 - 4 - 4
f(x)= 0
Geometry work please help!
Answer:
The value of x is 20 ⇒ A
Step-by-step explanation:
When a line intersects two parallel lines, then some pairs of angles are formed
Alternate interior angles which equal in measuresAlternate exterior angles which equal in measuresCorresponding angles which equal in measuresAdjacent interior angles which are supplementary (the sum of their measures is 180°)In the given figure
∵ Lines l and m are parallel
∵ They are intersected by a line
∴ The angles of measures (3x + 5)° and 65° are alternate interior angles
→ That means they are equal in measures
∵ Alternate interior angles are equal in measures
∴ (3x + 5)° = 65°
→ Subtract 5 from both sides
∵ 3x + 5 - 5 = 65 - 5
∴ 3x = 60
→ Divide both sides by 3
∴ x = 20
∴ The value of x is 20
help solve this for me i need it ASAP. please send pic in detailed info.
Answer:
yes
Step-by-step explanation:
y = 5x - 30
if this is wrong just lmk and ill fix it
hope this helps <3
what is the answer to the question?
Step-by-step explanation:
Since AD bisects BC,
BD = DC.
Therefore 5x - 10 = 3x + 10 and x = 10.
Answer:
The value of x is 10.
Step-by-step explanation:
BD =CD
Which means
5x - 10 = 3x + 10
Let's solve.
[tex]5x - 10 = 3x + 10 \\ \frac{ - 3x \: \: \: \: \: = - 3x \: \: \: \: \: }{2x - 10 = 10} \\ \\ 2x - 10 = 10 \\ \frac{ \: \: \: \: \: \: \: \: \: + 10 = + 10}{2x = 20} \\ \\ \frac{2x}{2} = \frac{20}{2} \\ \\ x = 10[/tex]
Therefore, x = 10.
Plz give me the answers I really need your help. :)
Answer:
1. 25 envelopes
2. 82 words per minute
3. 27 Miles per gallon
Step-by-step explanation:
Please help me out!!!!!
Answer:
Take f(x) to be 4x^3-5x^2-4x-4Take g(x) to be 5x^2+xThen proceed to do f(x)/g(x)Perform synthetic or long division (which ever is your preferred method) Your remainder will be whatever is left over at the end of the division and the quotient will be the first variables.plzz help
find value of following : 2sin75°.cos15°
Answer:
[tex]\frac{2+\sqrt{3} }{2}[/tex]
Step-by-step explanation:
Using the product to sum formula
sinxcosy = [tex]\frac{1}{2}[/tex] [ sin(x + y) + sin(x - y) ] , then
2sinxcosy = sin(x + y) + sin(x - y)
Given
2sin75°cos15° ← with x = 75 and y = 15 , then
= sin(75 + 15) + sin(75 - 15)
= sin90° + sin60°
= 1 + [tex]\frac{\sqrt{3} }{2}[/tex]
= [tex]\frac{2+\sqrt{3} }{2}[/tex]
A line that includes the points (-2, 9) and (-3, u) has a slope of 3. What is the value of u?
Answer:o
Step-by-step explanation:i
Jamaal writes 1/8 page in 1/4 of a minute. How much time will it take Jamaal to write a full page?
Answer: 2 minutes
Step-by-step explanation:
1/8 multiplied by 4 twice
Equivalen
Select two ratios that are equivalent to 27:9.
Answer:
3:1 & 54:18
Step-by-step explanation:
Answer: 9:3 and 3:1
Step-by-step explanation:
Glad I could help!
I need help pronto!!!
Answer:
wELL.. Im no expert BUTTTTTTTTT....that would mean that there is no cherry pies (i think)
Step-by-step explanation:
Answer:
Buddy should have given Trudy c +3 apple pies and c cherry pies
Step-by-step explanation:
Trudy orders 3 more apple pies than c cherry pies
which means that Trudy orders:
c cherry pies
and c+3 apple pies
But Buddy gives him c cherry and c-3 apple
-3/10 divided by -4/5
-0.015
hope it helps
have a great day
Please answer correctly !!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!!!
Answer:
x = 4
Step-by-step explanation:
The parallel segment divides the 2 sides of the triangle proportionally, that is
[tex]\frac{x}{8}[/tex] = [tex]\frac{6}{12}[/tex] ( cross- multiply )
12x = 48 ( divide both sides by 12 )
x = 4
Answer:
Hi
the answer would be:
6/18 = x/x+8 => if you solve the equation, it'll be equal to : x = 4
I hope that it's correct.
Step-by-step explanation:
simply fully 2x^2-5x+3 / x^2+5x-6
Answer:
did this help
Step-by-step explanation:
HELP PLS WILL GIVE BRAINLIEST i feel like the answer is either a or b but im too indecisive so idkkk D: pls help and explain, thank you
Answer: it’s C
Step-by-step explanation: ^
Answer:
the domain of f(x) is x > 0
Step-by-step explanation:
mark brainliest
The roots of the function f(x)=x^2-2x-3 are shown. What is the missing number
Step-by-step explanation:
[tex]f(x)=x^2-2x-3\\f(x)=(x-3)(x+1)\\x=3,-1[/tex]
Select the correct answer. Which point satisfies the system of equations y= 3x - 2 and y= -2x + 3?
Answer:
y= 3x - 2 has a slope of three n the graph pic will be below
y= -2x + 3 has a slope of -2 n the graph pic will be below
Step-by-step explanation:
I hope this is what you were looking for and I hope it helps you!
Determined an equation for the pictured graph
the spring in a toy rocket launcher has a spring constant of 44 N/m. how far must you compress the spring to cause it to exert a force of 8 N?
Answer:
0.18 m for A P E X
A meerkat was digging a new path to get to his home 8 ft below the surface. He hit a stump and dug 15 ft lower so the roots would not be in his path. What elevation is the meerkat?
Answer:
The elevation is [tex]32.3^{o}[/tex].
Step-by-step explanation:
The home of the meerkat is 8 feet below the surface. So that the root of the stump would not be in his path, he dug 15 feet lower.
This can be represented by the sides of a right angled triangle. Applying the appropriate trigonometric function, let the elevation be represented by θ.
Then,
Sin θ = [tex]\frac{opposite}{hypotenuse}[/tex]
= [tex]\frac{8}{15}[/tex]
Sin θ = 0.5333
⇒ θ = [tex]Sin^{-1}[/tex] 0.5333
= 32.287
θ = [tex]32.3^{o}[/tex]
The elevation of the meerkat is [tex]32.3^{o}[/tex].
Need help please thanks
Answer:
Use an app called Cymath it tells you the answer and it shows you step by step on how to work it out. I used the app multiple times and it helps me a lot!
Step-by-step explanation:
Hope I helped! :)
Using the English alphabet. which consists of 21 consonants and 5 vowels, how many three-letter arrangements can be made in which the first letter is a consonant, the second letter is a vowel and the third letter is a consonant
Answer:
They are plenty
Step-by-step explanation:
Answer:
2205
Step-by-step explanation:
Letter 1 is a consent, so there are 21 choices for the letter (all 21 consonants).
Letter 2 is a vowel, so there are 5 choices (all 5 vowels).
Letter 3 is a consent so there are 21 choices (all 21 consonants).
One would have to do 21 * 5 * 21 to find the number of combinations which fit these criterias.
21 * 5 * 21
= 2205
This is disregarding all the other rules of English grammer and word strucutre, so the total amount of combinations that can be found would include nosensical words. The total number of words would also include repeating consonants, so a consonant can appear twice in a combination, and some combinations might repeat.
Write the simplest polynomial function for each set of zeros
Zeros = 8,-10, 1,
PLEASEEEEE HELPPPPPPPPPP
9514 1404 393
Answer:
p(x) = x^3 +x^2 -82x +80
Step-by-step explanation:
If a polynomial function has a zero at x=a, then (x -a) is a factor. Your list of zeros means the factors are ...
p(x) = (x -8)(x +10)(x -1) . . . . . . . . factored form
When this is multiplied out, it becomes ...
p(x) = x^3 +x^2 -82x +80 . . . . . . standard form
_____
The factored form can be multiplied out using the distributive property.
= ((x(x +10) -8(x +10))(x -1)
= (x^2 +10x -8x -80)(x -1)
= (x^2 +2x -80)x -(x^2 +2x -80)
= x^3 +2x^2 -80x -x^2 -2x +80
= x^3 +x^2 -82x +80