Let 0 be an acute angle of a right triangle. Evaluate the other five trigonometric functions of 0.

Let 0 Be An Acute Angle Of A Right Triangle. Evaluate The Other Five Trigonometric Functions Of 0.

Answers

Answer 1

Answer:

1. Cos θ = 6√2 / 11

2. Tan θ = 7 / 6√2

3. Cosec θ = 11 / 7

4. Sec θ = 11 / 6√2

5. Cot θ = 6√2 / 7

Step-by-step explanation:

From the question given above, the following data were obtained:

Sine θ = 7 / 11

Next, we shall determine the adjacent of the right triangle. This can be obtained as follow:

Sine θ = 7 / 11

Sine θ = Opposite / Hypothenus

Opp = 7

Hypo = 11

Adj =?

Hypo² = Opp² + Adj²

11² = 7² + Adj²

121 = 49 + Adj²

Collect like terms

Adj² = 121 – 49

Adj² = 72

Take the square root of both side

Adj = √72

Adjacent = 6√2

1. Determination of Cos θ

Adjacent = 6√2

Hypothenus = 11

Cos θ =?

Cos θ = Adjacent / Hypothenus

Cos θ = 6√2 / 11

2. Determination of Tan θ

Opposite = 7

Adjacent = 6√2

Tan θ =?

Tan θ = Opposite / Adjacent

Tan θ = 7 / 6√2

3. Determination of Cosec θ

Sine θ = 7 / 11

Cosec θ =?

Cosec θ = 1 ÷ Sine θ

Cosec θ = 1 ÷ 7 / 11

Cosec θ = 1 × 11/7

Cosec θ = 11/7

4. Determination of Sec θ

Cos θ = 6√2 / 11

Sec θ =?

Sec θ = 1 ÷ Cos θ

Sec θ = 1 ÷ 6√2 / 11

Sec θ = 1 × 11 / 6√2

Sec θ = 11 / 6√2

5. Determination of Cot θ

Tan θ = 7 / 6√2

Cot θ =?

Cot θ = 1 ÷ Tan θ

Cot θ = 1 ÷ 7 / 6√2

Cot θ = 1 × 6√2 / 7

Cot θ = 6√2 / 7


Related Questions

The supply station donated 115 notebooks to mrs.Michale to give to her class there are 28 students in her class mrs.Michale gives each student the same number of notebooks how many notebooks does she give each student

Answers

Answer:

4.107

Step-by-step explanation:

115/28=4.107

29 A student has N425. He bought seven ex-
ercise books and he was given N5 as
change. What is the average cost of one
exercise book?
A N60.71 B N50 C N60
DN50.71 E
N75

Answers

The average cost of one exercise book is N60
He was given N5 change which means he spent a total of N420
Therefore,he used N420 to buy 7 books,the average cost of one book= 420/7=60.Thanks

Help meh pweeeeaaaasssseeee!

Answers

Answer:

The name of the given figure in two different ways are - J⇔U and U⇔J

Rút gọn
Giúp em với ạ. em lm mãi ko ra

Answers

Answer:

Step-by-step 12explanation:

12

Answer:

Nhân đa thức đối xứng

(2[tex]\sqrt{3}[/tex] -4)/([tex]\sqrt{3}[/tex] -1) + (2[tex]\sqrt{2}[/tex] -1)/([tex]\sqrt{2}[/tex] -1) - (1+[tex]\sqrt{6}[/tex] )/([tex]\sqrt{2}[/tex] +3)

=(2[tex]\sqrt{3}[/tex] -4)([tex]\sqrt{3}[/tex] +1)/([tex]\sqrt{3}[/tex] -1)([tex]\sqrt{3}[/tex] +1) + (2[tex]\sqrt{2}[/tex] -1)([tex]\sqrt{2}[/tex] +1)/([tex]\sqrt{2}[/tex] -1)([tex]\sqrt{2}[/tex] +1) - (1+[tex]\sqrt{6}[/tex] )([tex]\sqrt{2}[/tex] -3)/([tex]\sqrt{2}[/tex] +3)([tex]\sqrt{2}[/tex] -3)

=3-[tex]\sqrt{3}[/tex] -2+4+[tex]\sqrt{2}[/tex] -1 +([tex]\sqrt{2}[/tex] -3+2[tex]\sqrt{3}[/tex] -3[tex]\sqrt{6}[/tex] )/7

= 2.900712176

Step-by-step explanation:

The average heights of four samples taken from a population of students are shown in the table. Which of these is most likely closest to the average height of the population?

Answers

Using the Central Limit Theorem, the mean height that is most likely closest to the average height of the population is:

B. 57.

What does the Central Limit Theorem state?

It states that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

The interpretation of the equation for the standard error is that larger sample sizes will lead to estimates closer to the actual population parameters.

From the table, the largest sample size in this problem is of 40, and this sample had a mean of 57, hence the mean height that is most likely closest to the average height of the population is:

B. 57.

More can be learned about the Central Limit Theorem at https://brainly.com/question/16695444

#SPJ1

Which expression is equivalent to 2x2x2x2x2

Answers

Answer:

2^5

Step-by-step explanation:

2x2x2x2x2

Count the number of 2's, that is the power

The base is 2

2^5

Answer:

2 to the power of 5

Step-by-step explanation:

there are 5 2's being multiplied by each other and that can be shortened to the power of 5.

Which absolute value equation represents the graph A) f(x)=-|3x|-5 B) f(x)=3|x-5| C)f(x)=5|x|-3 D)f(x)=|5x-3|

Answers

Answer:

The choose B. f(x)=3|x-5|

I hope I helped you^_^

Find the measure of each angle supplementary angles with measures 2X +3 and 3X +2

Answers

supplementary angles = the sum of those angles will equal to 180 degrees

so,

2x + 3 + 3x + 2 = 180

5x + 5 = 180

5x = 175

x = 35

angle 1 -> 2x + 3 = 70 + 3 = 73

angle 2 -> 3x + 2 = 105 + 2 = 107

if you want to check, 107 + 73 = 180

hope it helps :)

A boat travels 160 miles per hour. What is the speed in miles per minute?

Answers

We divide both sides by 160. Therefore, the boat will travel about 0.53 miles in 1 minute.
1hour =60min

Speed in mph=160mph

Now

[tex]\\ \sf\longmapsto 160\times \dfrac{1}{60}[/tex]

[tex]\\ \sf\longmapsto \dfrac{160}{60}[/tex]

[tex]\\ \sf\longmapsto 2.6miles/min[/tex]

Trigonometry help needed
help would be appreciated ​

Answers

Answer:

Step-by-step explanation:

Question 5

Part A

if Sin(x) = - 3/5  and tan(x) < 0

you are told 3 things

cos(x) must be plus because there are 4 quads. Everybody is plus in quad 1. Sin and tan are <0 so you must be in quad 4 where cos(x) => 0From sin^2(x) + cos^2(x) = 1, we get that cos(x) = 4/5Tan(x) = sin(x) / cos(x)

tan(x) = Sin(x)/cos(x)

tan(x) = -3/5 // 4/5

Tan(x) = -3/4

Part B

cos(2x) = cos^2(x) - sin^2(x)

cos(2x) = (4/5)^2 - (-3/5)^2

cos(2x) = 16/25 - 9/25

cos(2x) = 7/25

Part B

x + y = 90

sin(x +y) = 1

Sin(x - y) =

Sorry can't do this part. I don't know what this is equal to.

use the ratio of a 45-45-90 triangle to solve for the variables​

Answers

Answer:

1:1:√ 2

Step-by-step explanation:

Answer:

u = 14

v = 14

Step-by-step explanation:

since both angles around the 90 degree angle are the same, also the sides need to be of equal length. v = u

so, we can use Pythagoras

(14×sqrt(2))² = u² + u² = 2u²

196×2 = 2u²

196 = u²

u = 14 = v

Find the arc length of the partial circle.

Answers

Answer:

arc length = 4π units

Step-by-step explanation:

The arc length is calculated as

arc = circumference of circle × fraction of circle

     = 2πr × [tex]\frac{90}{360}[/tex]

     = 2π × 8 × [tex]\frac{1}{4}[/tex]

     = 2π × 2

    = 4π units ← exact answer

Mark Brainliest please

Answer : Arc length (L) = 12.56637

"If the radius of the closed cone is doubled, show algebraically how this affects the surface area in comparison to the original cone."
How do I do this question?

Answers

Answer:

It would help to have the cone area formula:

Area = PI * radius * slant height

Let's say the height is 12cm radius is 5 cm

which makes the (slant height)^2 = 12^2 + 5^2 = 169

slant height = 13

and surface area = PI * 5 * 12 =  188.4955592154

If radius = 10 then (slant height)^2 = 12^2 + 10^2 = 244

slant height = 15.6204993518

surface area = PI * 10 * 15.62 = 376.99

376.99 / 188.4955 = 2

So, if radius is doubled, surface area is doubled.

Source: http://www.1728.org/volcone.htm

 

Step-by-step explanation:

A set of points is graphed on the scatter plot.



Is y a function of x on the scatter plot? Why or why not?

A
Yes, because the point (6,0) is located on the x-axis.

B
Yes, because the point (0,7) is located on the y-axis.

C
No, because x=−5 corresponds to both y=1 and y=−3.

D
No, because y=−3 corresponds to x=−5, x=−3, and x=1.

Answers

Answer:

C

No, because x=−5 corresponds to both y=1 and y=−3.

Step-by-step explanation:

This is not a function.  The graph has values of x that correspond to multiple values of t

Find the slope of the line that contains (-1, 9) and (9, 9).

Answers

Step-by-step explanation:

using the slope formula, we can see that the slope is 0

7.
Find the number of real number solutions for the equation. x2 – 18 = 0

A. cannot be determined
B. 0
C. 1
D. 2

Answers

C. 2

The solutions are sqrt(18) and -sqrt(18)

Write 1.61 as a mixed number and as an improper fraction.
Do not try to simplify your answers.
mixed number:
improper fraction: |

Answers

Answer:

the answers would be 1 61/100 and 161/100

anyone wanna help me with this.

Answers

Answer:

b

Step-by-step explanation:

2/(x+2)≠1/(x+1)

help ASAP!!!
bensnsnana

Answers

Answer:

c

Step-by-step explanation:

plug in 6 or -6 into x. square it. get 36 -11 =25

Answer:

c/d(most likely d)

Step explanation:

f(x)=x^2-11

For f(x) to be <25 x^2-11 must be x^2-11 < 25

Number just greater than 25 is 26 so x^2-11<25

x^2-11<25

x^2<36

x<√36

Therefore, for x^2-11<25 x must be between +6 & -6

Therefore option c is correct but the signs are mistake so it's either d or c.(most likely d)

Which is the graph of y = log4(x+3)?

Answers

Answer:

Step-by-step explanation:

Answer:

Option c points at (-2,0) (-1, 0.5) and (1,1)

Step-by-step explanation:

244 Children are on a school trip, there
are 19 seats on a coach. How many
coaches are needed?

Answers

Answer:

Totally number of coaches needed is 12

Step-by-step explanation:

If you like my answer than please mark me brainliest thanks

Name the property illustrated. 7 + 0 = 7

Answers

Answer:

I think it's the zero property

Step-by-step explanation:

The name of the property illustration 7+0=7 will be property Zero

Select the correct answer from each drop-down menu.
Consider the function fx) = -2x + 6x3 + 2x.
The function is
because

Answers

Answer:

This is an odd function because f (–x) = f (x)

Step-by-step explanation:

This is an odd function because f (–x) = f (x)

f(x) = -2x^5 + 6x^3 + 2x.

All the powers are odd powers  and the sum of odd functions is odd

All of the terms are odd functions so the total function is odd

Answer:

CORRECT

Step-by-step explanation:

Two lines, C and D. are represented by the equations given below.
Line C: y = x + 10
Line D: y = 3x + 2
Which of the following shows the solution to the system of equations and explains why?
(5, 17), because one of the lines passes through this point
(5. 17), because the point lies between the two axes
(4, 14), because the point does not lie
on any axis
(4, 14), because both lines pass through this point

Answers

The answer is D. (4,14) because both lines pass through this point

Explanation: You can insert (4,14) in either equation and so if you insert it into y= x+10 you get 14=4+10 which shows the x combined with 10 equals the y so it’s correct and if you plotted both lines on the graph both lines would travel through this point because it is a solution for both lines.

the area of a trapezoid is 21 inches, one of its bases is 8 inches and its height is 3 inches. What is the length of the last base?

Answers

Answer:

6 inches

Step-by-step explanation:

A=b1+b2/2*h

Fill in the equation with what we know

21=8+x/2*3

Isolate x

Quick steps: 21/3=7*2=14-8=6

x=6

What is the value of x?
26°

O
x
= [?]

Answers

Answer: x = 154°

Step-by-step explanation:

In this tangents are formed

So the two unknown opposite angles at the curves will be 90° each.

So using angle sum property of a quadilateral in which all angles adds upto 360°

We get x as

90+90+26+x = 360

206+x = 360

x = 360 - 206

x = 154

please click thanks and mark brainliest if you like :)

Please solve this:
[tex] {2}^{y - 3} \times {3}^{2y - 8} = 36[/tex]
Solve for y.
Explain please!!
Answer only if you can.​

Answers

Answer:

y is 5.

Step-by-step explanation:

[tex]{ \sf{{2}^{y - 3} \times {3}^{2y - 8 } = 36}} \\ \frac{ {2}^{y} }{ {2}^{3}} \times \frac{ {3}^{2y} }{ {3}^{8} } = 36 \\ \\ {2}^{y} . {3}^{2y} = 36 \times {2}^{3} \times {3}^{8} [/tex]

Introduce log base 10:

[tex] log_{10}( {2}^{y} \times {3}^{2y} ) = log_{10}(36 \times {2}^{3} \times {3}^{8} ) \\ log_{10}( {2}^{y} ) + log_{10}( {3}^{2y} ) = 6.28 \\ y log_{10}(2) + 2y log_{10}(3) = 6.28 \\ 0.3y + 0.95y = 6.28 \\ 1.25y = 6.28 \\ y = 5[/tex]

For the parabola y = (x+14)^2 -4, The value of the y coordinate of the vertex is?

Answers

Answer:

-4

Step-by-step explanation:

y = (x+14)^2 -4

The equation is in vertex form

y = a(x-h)^2 + k  where (h,k) is the vertex

The y coordinate of the vertex is k = -4

Answer:

y - coordinate = - 4

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

y = (x + 14)² - 4 ← is in vertex form

with vertex = (- 14, - 4 )

The y- coordinate of the vertex = - 4

5 a. how to convet 2 hour to second ​

Answers

Answer:

Step-by-step explanation:

2 hour

To seconds = 7200

Hope this  answer helps you :)

Have a great day

Mark brainliest

Solve.
d+e= 2
d-e = 4
Use the substitution method.
O There are an infinite number of solutions.
O There is no solution.
О
The solution is
(3. – 1).
(5, 1)
O The solution is

Answers

Step-by-step explanation:

let d+e=2 be equation 1

let d-e=4 be equation 2

lets make d the subject in equa 1

d = 2-e equation 3

put equation 3 in 2

2-e=4

e=2-4

e=-2

put e=-2 in equa 1

d-2=2

d=4

e is -2 and d is 4

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