Trigonometry, please provide a simple explanation

Trigonometry, Please Provide A Simple Explanation

Answers

Answer 1

Answer:

C

Step-by-step explanation:

cosecΘ = [tex]\frac{1}{sin0}[/tex] = [tex]\frac{2}{\sqrt{3} }[/tex] ( cross- multiply )

2sinΘ = [tex]\sqrt{3}[/tex] ( divide both sides by 2 )

sinΘ = [tex]\frac{\sqrt{3} }{2}[/tex] , then

Θ = [tex]sin^{-1}[/tex] ( [tex]\frac{\sqrt{3} }{2}[/tex] ) = 60°

Answer 2

Answer:

C.  60°

Step-by-step explanation:

by definition,  cosec(θ) is the reciprocal of sin(θ)

In other words ,

[tex]\text{cosec} \left( \theta \right) =\frac{1}{\sin \theta }[/tex]

Then

[tex]\text{cosec} \left( \theta \right) =\frac{2}{\sqrt{3} }[/tex]

[tex]\Longleftrightarrow \frac{1}{sin \left( \theta \right) } =\frac{2}{\sqrt{3} }[/tex]

[tex]\Longleftrightarrow sin \left( \theta \right) =\frac{\sqrt{3} } {2}[/tex]

Then

θ = 60°


Related Questions

Can someone help me, I forgot how to solve this

Answers

Answer:

y = mx + b

Step-by-step explanation:

Please help! Thank tou

Answers

Answer:

220mL

780mL

600mL

480mL

Step-by-step explanation:

500-280=220

500+280=780

280/8=35, so 35 mL is in one L, 35x5=175

875-175=600

750-280=480

Answer:

Step-by-step explanation:

What is the measurement of angle D



HELP PLS

Answers

9514 1404 393

Answer:

  68°

Step-by-step explanation:

Alternate interior angles are congruent, so we have ...

  123° = d° +55°

  d = 123 -55 = 68

Angle D measures 68°.

_____

For those of you inclined to use this answer for other questions, here are the other angles in this figure.

  A = 55° . . . . alternate interior with 55°, so congruent

  B = C = 180° -123°

  B = C = 57°

If
f(x) = x^2 + 2x - 4
and
g(x) = 3x + 1
Find
f(g(x)) = ?

Answers

Answer;

f (x) = 2x-4g (x) =x^2

Step-by-step explanation:

The solution is 9x² + 12x - 1

The composition function f ( g ( x ) ) is 9x² + 12x - 1

What is Composition of functions?

Evaluation of a function at the value of another function is known as Composition of function. A function composition is a process in which two functions, f and g, form a new function, h, in such a way that h(x) = g(f(x)). This signifies that function g is being applied to the function x. So, in essence, a function is applied to the output of another function.

Given data ,

Let the first function be represented as f ( x )

The value of f ( x ) = x² + 2x - 4

Let the second function be represented g ( x )

The value of g ( x ) = 3x + 1

Now , the composition function f ( g ( x ) ) is calculated by

Substitute the value of x as 3x + 1 , in f ( x ) , we get

f ( g ( x ) ) = f ( 3x + 1 )

f ( 3x + 1 ) = ( 3x + 1 )² + 2 ( 3x + 1 ) - 4

On simplifying the equation , we get

f ( 3x + 1 ) = ( 9x² + 6x + 1 ) + ( 6x + 2 ) - 4

f ( 3x + 1 ) = 9x² + 12x - 1

Therefore , the value of f ( 3x + 1 ) is 9x² + 12x - 1

Hence , the composition function f ( g ( x ) ) is 9x² + 12x - 1

To learn more about composition of functions click :

https://brainly.com/question/17673639

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Mrs. Brownstone brought 56 liters of juice for the fifth grade party. How many milliliters of juice did she bring?

Answers

Answer:

56000 milliliters

1 liter = 1000 milliliters

56(1000)=56000

Step-by-step explanation:

what is domain and range because I got it wrong is not the right one ​

Answers

Answer:

You most likely got it wrong because you didn't plot all the points that are actually in the table, the domain and range are both right.

a cylindrical tank has a radius of 3 m and a height of 12 m.
What is the volume of the tank?​

Answers

Answer:

Volume = 339.12 m^3

Step-by-step explanation:

Volume = Pi(r^2)(height)

Volume = 3.14(3^2)(12)

Volume = 339.12 m^3

Mary has a large sum of money to deposit, but since she has heard many stories from her grandmother about the Great Depression, when many banks lost their customers’ deposits, she is worried that the bank might not keep her money safe. Give Mary some recommendations about what she can do to make sure that her money stays protected.

Answers

Mary should make sure to choose a bank that is FDIC insured. Furthermore, if she has more than maximum deposit insurance amount to deposit, she should spread her deposits out among several separate banks. These should be totally different banks, not simply different branches of the same bank. The FDIC will insure up to the maximum deposit insurance amount at each bank, even if the bank fails.

Find the degree of the following polynomial:
7xy223 + 8y5 – 3x4 + 4

Answers

Answer:

224

Step-by-step explanation:

polynomial degree:224

leading term:7x^223

leading coefficient:7

Choose the equations that are equivalent. Select all that apply.
A. 52 = 8n +4
B. 42n + 1) = 52
C. 4 = 52 - 8n
D. 4n = 48

Answers

Answer:

A. 52 = 8n +4

C. 4 = 52 - 8n

PLZ HELP ME PLZ I NEED IT

Answers

Answer:

Step-by-step explanation:

The intersection occurs at the point (3,-3) so those are the coordinates.

A car corporation produced 1980 fewer cars this month than last.
Write a signed number to represent this month's change in production.

Answers

Answer:

there was 1300 fewer cars so your answer would be -1300 :-)

Damian’s computer repair shop earned $2,500 in income last week. Expenses were $2,750. What was Damian’s profit or loss for the week?

Answers

Answer:

2500-2750 = - 250

hence,he lost $250

Select the equivalent expression.
3-5 = ?

Answers

-2 !!!!!!!!!!!!!!!!!!!!!!!

answer quickly and quietly incorrectly please

Answers

Answer:

Your answer is

A & E

Mark my answer as brainlist . I need that urgently . Folow me for more answer.

Step-by-step explanation:

What is the solution to the equation 1/3 n =6

Answers

Answer:

n=18

Step-by-step explanation:

Help help help help help help help help help

Answers

Answer: a: 23.4

Step-by-step explanation:

Answer:

A.23.4

Step-by-step explanation:

first find the volume of the tank 18x12x25=5400 then find how many gallons of water tank can hold 5400/231=23.4

hope this helps have a blessed day :)

Solve 11=h-14 please

Answers

Answer:

25

Step-by-step explanation:

25-14=11

Answer:

25

Step-by-step explanation:

11=25-14

Since 11+14 is 25 then h in 11=h-14 must be 25

It's urgent, Please answer, Make Sure you Round it

The first three terms of a sequence are given. Round to the nearest thousandth (if necessary).

460, 451,442

Find the 37th term.

Answers

Answer:

136

Step-by-step explanation:

This is an arithmetic sequence

The formula is an = a1 + f × (n-1)

n= the number we are trying to find = 37

a= the number in any given space on the sequence

a1= 460

f= the common difference between the numbers

f= -9 because you subtract 9 from each to get the number

a37= 460-9(37-1)

a37= 460-9(36)

a37= 460- 324

a37= 136

Given :

[tex] \\ [/tex]

The first three terms of a sequence are 460, 451, 442

[tex] \\ [/tex]

To Find :

[tex] \\ [/tex]

37th term of sequence = ?

[tex] \\ [/tex]

Solution :

[tex] \\ [/tex]

Clearly these three terms are making an arithmetic sequence, with :

First term, a = 460 Common difference, d = 451 - 460 = - 9

[tex] \\ [/tex]

Now, we have to find 37th term of sequence = [tex] \tt a_{37}[/tex]

[tex] \\ [/tex]

Now, we know that :

[tex] \large \underline{\boxed{\bf{a_{n} = a + (n-1)d}}}[/tex]

[tex] \\ [/tex]

[tex] \tt : \implies a_{37} = a + (37-1)d[/tex]

[tex] \tt : \implies a_{37} = a + 36d[/tex]

[tex] \\ [/tex]

Now, by substituting values of a and d :

[tex] \tt : \implies a_{37} = 460 + 36 \times (-9)[/tex]

[tex] \tt : \implies a_{37} = 460 - 324[/tex]

[tex] \tt : \implies a_{37} = 136[/tex]

[tex] \\ [/tex]

Hence, value of 37th term of given sequence is 136.

X/4=8
Solve that using the opposite operation

Answers

Answer:

x = 32

Step-by-step explanation:

4 • (x/4) = 8 • 4

x = 32

Step-by-step explanation:

[tex]\qquad\sf\dashrightarrow x/4=8 [/tex]

[tex]\qquad\sf\dashrightarrow x=4×8 [/tex]

[tex]\qquad\sf\dashrightarrow x=32 [/tex]

If the triangle are similar, write a similarity
statement and tell whether you would use
AA similarity, SAS similarity, or SSS
similarity. If not similar, explain why.
Explanation

Answers

Answer:

The triangles are similar due to AAA

Step-by-step explanation:

'The triangles ABC and DBE are similar because they have a common angle < B, and also angle < E is marked as congruent to angle < A. Then the third angle <C is going to be congruent to angle D as well due to the property of addition of internal angles of a triangle must add to 180 degrees.

Then the triangles are similar due to AAA

Help me plz i will give brainlest

Answers

Answer:

the answer should be (3,-2)

2. Pierre works full time and is paid an hourly rate of $12.50 for 35 hours a week. He is paid for 52
weeks of the year. What are his total earnings for ONE YEAR?​

Answers

Answer:

$22,750

Step-by-step explanation:

First, find out how much Pierre is paid per week: $12.50 x 35 -> $437.5/week

Then, multiply to find how much he is paid the whole year: $437.5 x 52 -> $22,750

The translation shown in the graph moves the figure to the right. What kind of translation is shown?

Answers

the figure go to the left

y=7x+8 can somebody help me

Answers

what’s the question ? do you need the slope or the y intercept ?

URGENT!!!!!!
Use scientific notation to estimate the number of inches in 1,225 miles. Include all calculations in your final answer.1 inch ≈ 1.578 × 10 -5 miles.

Answers

Answer: The number of inches in 1225 miles is [tex]7.763\times 10^7[/tex]

Step-by-step explanation:

Scientific notation is defined as the representation of expressing the numbers that are too big or too small and are represented in the decimal form with one digit before the decimal point times 10 raise to the power.

Example: 3000 is written as [tex]3.0\times 10^3[/tex]

Given : [tex]1.578\times 10^{-5}[/tex] miles = 1 inch

Thus 1 mile = [tex]\frac{1}{1.578\times 10^{-5}}=0.634\times 10^5[/tex] inches

1225 miles = [tex]\frac{0.634\times 10^5}{1}\times 1225=776.3\times 10^{5}=7.763\times 10^7[/tex] inches

write the following decimals in the form of p\ q= 0 and p,q are con-primes 1) 15.265





Answers

Given:

The decimal number is 15.265.

To find:

The decimals in the form of [tex]\dfrac{p}{q}[/tex] and p,q are co-primes.

Solution:

Let the decimal number be [tex]x=15.265[/tex].

It can be rewritten as

[tex]x=15.265\times \dfrac{1000}{1000}[/tex]

[tex]x=\dfrac{15265}{1000}[/tex]

[tex]x=\dfrac{5\times 3053}{5\times 200}[/tex]

Cancel out the common factors.

[tex]x=\dfrac{3053}{200}[/tex]

Here, p=3053 and q=200 and the HCF of (p,q) is 1. So, p and q are co-primes.

Therefore, the requited fraction form is [tex]\dfrac{3053}{200}[/tex].

The masses of 4 containers loaded on a ship are 28 tonnes,45 tonnes,16.8tonnesand 48500kg .What is 5he total mass in tones?​

Answers

Step-by-step explanation:

first of all we have to change kg into ton= 48500kg into ton =53.462ton(48500/907.168)

after that we add all the weight of 4 container = 28+45+16.8+53.462

total will be his total mass of tones he had =143.262

WHERE ARE THE BLACK DOTS LOCATED?!?

Answers

Answer:

The first one (on the bottom) is (2, -3)

The second one (the top one) is (-1, 3)

Answer:

(-1, 3) and (2, -3)

Step-by-step explanation:

The x-value always goes first and the second is always the y-value.

Which expression is equivalent to 1/4(12x + 16) + 3x + 7

Please help!!!

a. 15/4x + 7
b. 15x + 23
c. 6x + 23
d. 6x + 11

Answers

Answer:

the answer is 6x+11

Step-by-step explanation:

1/4(12+16)+3x+7

1/4×4(3x+4)+3x+7

(3x+4)+3x+7

3x+4+3x+7

6x+11

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