Determine the value for the trigonometric expression. Give an exact answer in degrees. Hint: Consider only the principal value of an inverse trigonometric function. Cos(Ta * n ^ - 1 - (sqrt(3))/3)

Answers

Answer 1

Answer:

√3/2

Step-by-step explanation:

We are to find the exact value of the expression below

Cos(Tan^- 1 - (sqrt(3))/3)

Evaluate the one in bracket first

Tan^-1√3/3 = 30°

Cos(Tan^- 1 (sqrt(3))/3) = Cos30°

Now find cos30°

cos30° = √3/2

Hence the value for the trigonometric expression is √3/2


Related Questions

simplify
plzzzzzzzzzzzzzzzzzzzzzzzzz

Answers

Answer:

I think it's 12 a⁹ b⁷ correct me if I'm wrong

Answer:

4a3b2×3a6b5

=12a9b7

Pls help will give brainiest

Answers

Answer:

0.75

Step-by-step explanation:

Help pls! will give brainliest!
what is a 11 percent markup of $18

Answers

Answer:

$16.02

Step-by-step explanation:

Answer:

$20.22

Step-by-step explanation:

Lana is deciding whether to buy a pool pass for the summer. A pass costs $36.00 and
$1.00 for admission each day. Without a pass, the cost is $5.00 per day. Use the
system of equations below to find the number of days, d, Lana will need to go to the
pool for the cost, c, to be the same with and without a pass.

Answers

Answer:

9 days

Step-by-step explanation:

Can someone please help me I have been stuck what one

Answers

Answer:

The inequality matches the graph is 2n + 5 ≤ 7 A

Step-by-step explanation:

Let us solve the question

From the given graph

∵ The arrow starts from 1 and pointed to the left (negative part)

∵ The starting point of the arrow is bold

∴ The sign of the inequality is ≤ (smaller than or equal)

→ That means the solution of the inequality is all the numbers ≤ 1

The solution of the inequality is n ≤ 1

→ Look at the choices and find which one has the sign ≤ and check if

  it will give the same solution or not

∵ The inequality is 2n + 5 ≤ 7

→ Subtract 5 from both sides

∴ 2n + 5 - 5 ≤ 7 - 5

∴ 2n ≤ 2

→ Divide both sides by 2

n ≤ 1

The inequality gives the same solution of the given graph

The inequality matches the graph is 2n + 5 ≤ 7

what is the value of (-5)^4?​

Answers

Answer:

625

Step-by-step explanation:

(-5)×(-5)×(-5)×(-5) = 625

Answer:

625

Step-by-step explanation:

-5x-5x-5x-5=625

its all in the picture

Answers

Answer:

6

Step-by-step explanation:

..............................

Answer:

f(- 3) = 6

Step-by-step explanation:

f(- 3) means what is the value of f(x) when x = - 3

Locate x = - 3 on the x- axis

Then go vertically up to meet the graph at (- 3, 6 )

The value of f(- 3) is therefore 6, that is

f(- 3) = 6

find the value of x (3/5)^x(5/3)^2x=125/27​

Answers

Given:

The equation is

[tex]\left(\dfrac{3}{5}\right)^x\left(\dfrac{5}{3}\right)^{2x}=\dfrac{125}{27}[/tex]

To find:

The value of x.

Solution:

We have,

[tex]\left(\dfrac{3}{5}\right)^x\left(\dfrac{5}{3}\right)^{2x}=\dfrac{125}{27}[/tex]

[tex]\left(\dfrac{5}{3}\right)^{-x}\left(\dfrac{5}{3}\right)^{2x}=\dfrac{5\times 5\times 5}{3\times 3\times 3}[/tex]      [tex][\because \left(\dfrac{a}{b}\right)^{-m}=\left(\dfrac{b}{a}\right)^{m}][/tex]

[tex]\left(\dfrac{5}{3}\right)^{-x+2x}=\dfrac{5^3}{3^3}[/tex]          [tex][\because a^ma^n=a^{m+n}][/tex]

[tex]\left(\dfrac{5}{3}\right)^{x}=\left(\dfrac{5}{3}\right)^{3}[/tex]

On comparing the exponents, we get

[tex]x=3[/tex]

Therefore, the value of x is 3.

Solve the equation. 15 = 2w – 5

Answers

Answer:

hope my answer is helpful to you

plz mark me as brainlist and also follow me

Answer:

w=10

Step-by-step explanation:

you would first add 5 on both sides. Then you would get 20=2w then you would divide 2 by both sides. w=10

Suppose that point R is the center of a circle that is circumscribed about an equilateral Triangle ABC,and points M,P,and Q are midpoints of the sides of ABC. Part A: Prove that RM=RP=RQ​

Answers

Answer:

Solution in image

Step-by-step explanation:

An angle is 58º less than its supplement. What is the measure of the angle?​

Answers

Answer:

i think it is 122 degrees, as the solution would be to subtract 58 from 180

Step-by-step explanation:

180-58=122

angle1 = x

angle2 = x - 58

given,

these are supplementary angles

Therefore,

(x) + (x - 58) = 180

x + x - 58 = 180

2x - 58 = 180

2x = 180 + 58

2x = 238

x = 238/2

x = 119

angle1 = 119

angle1 = 119angle2 = 61

What percent is represented by the shaded area?
The tape diagram below represents 100%, percent.

Answers

60% is shaded because each box equals 10% and since 6 of them are shaded 10%*6= 60%

On a test with 25 problems, Grace got 88% correct. How many problems did Grace get correct?

Answers

Answer:

3 I think forgive me if im wrong.

Step-by-step explanation:

Help me I need this quick

Answers

Answer:

I think 3,9, and 15

Step-by-step explanation:

I need that r d d d d d. D d d d d d d. D

Answers

Answer:

D is not a function.

Step-by-step explanation:

The first option is a function because it makes up a straight line.  The second option is also a function because it is also known as y = -3/2x + 2 creating a slope function.  The third option is also a function because there is no more than one point for each x value.  The last option is not a function because the number 2 is going for 2 variables A and B and you can't have them with more than one so D is your answer.

Answer:

D is not a function.

Step-by-step explanation:

The first option is a function because it makes up a straight line.  The second option is also a function because it is also known as y = -3/2x + 2 creating a slope function.  The third option is also a function because there is no more than one point for each x value.  The last option is not a function because the number 2 is going for 2 variables A and B and you can't have them with more than one so D is your answer.

2. Mrs. Ellison brought 30 cookies to the school picnic last year. This year she brought 45
cookies. What was the percent of change?

Answers

Answer:

15%

Step-by-step explanation:

45 - 30 = 15

Answer - 15%

help please? don't put anything If you don't know the answer or else ill report​

Answers

Answer:

d. (-3,-1)

Step-by-step explanation:

In this picture B and Fare
midpoints.
A
B
5x - 4
23
F
E
x=[ ? ]

Answers

Answer:

10

Step-by-step explanation:

In triangle ACE, B and F are mid points of sides CA and CE respectively.

Therefore, BF is the mid segment of triangle ACE.

By Mid-segment formula:

AE =2BF

5x - 4 =2*23

5x - 4 = 46

5x = 46+4

5x = 50

x = 50/5

x = 10

rs=5y+2 , st=2y+3 , rt=12y-15 what is the value y

Answers

Answer:

6

Step-by-step explanation:

5y + 2 +2y + 3 = 12 - 15

7y + 5 = 12y - 15

7y + 20 = 12y

20 = 5

6

Diego pours 6.8 ounces of water from a full bottle. He estimates that he poured out 20% of the water in the bottle. About how much water was in the full bottle? Diego pours out 25% of the remaining water. About how many ounces did he pour the second time? Explain your reasoning.

Answers

Answer:

34 ounces were in the full bottle , The second time he poured about 7.48 ounces

Step-by-step explanation:

20 times 5 = 100 so,

6.8 times 5 = 34

PART 2

Diego poured out 20% wich is equal to 6.8 and if you subtract both pour's that he did you get 20.4. The you subtract that amount that he had already poured  from the total wich gives you 13.6 and 5% of 13.6 is 0.68. Add 0.68 and 6.8 to get 7.48

5+(−3)(6x−5) using distributive property

Answers

Answer:

x= -1.8

Step-by-step explanation:

5+(-3)(6x-5)

the -3 goes into the 6x and -5

5+(-18x)+15

switch so like terms are together

5+(-5) these cancel out leaving you with

-18x+15-5

combine like terms

-18x+10

divide both sides by -18

x=-1.8

I don't understand this?​

Answers

Answer:

THE ANSWER IS B. If someone owes something the number is negative, and if someone has money the number is positive, MARK ME BRAINLIEST!!!!!!

Step-by-step explanation:

what is 1x+3y=18 in slope intercept form

Answers

Answer:

y = -x/3 + 6

General Formulas and Concepts:

Pre-Algebra

Equality Properties

Algebra I

Standard Form: Ax + By = C

Slope-Intercept Form: y = mx + b

m - slope b - y-intercept

Step-by-step explanation:

Step 1: Define

Standard Form:   x + 3y = 18

Step 2: Rewrite

Find slope-intercept form

Subtract x on both sides:                    3y = -x + 18Divide 3 on both sides:                       y = -x/3 + 6

Answer:

y=-3x+6

Step-by-step explanation:

slope int. form is y=mx+b

want to get y by itself, so subtract 1x

so you are left with 3y=-1x+18

then divide 3

left with y=-1/3x+6

simplified is y=-3x+6

Triangle GHI with vertices G(4, 1), H(5, -4), and I(2, -8) REFLECTED over the line y = x.

Answers

Answer:

[tex]G' = (1,4)[/tex]

[tex]H' = (-4,5)[/tex]

[tex]I = (-8,2)[/tex]

Step-by-step explanation:

Given

[tex]G = (4,1)[/tex]

[tex]H = (5,-4)[/tex]

[tex]I = (2,-8)[/tex]

Reflection: [tex]y = x[/tex]

Required

Determine the coordinates of G'H'I'

The following applies when a line A is reflected over [tex]y = x[/tex]

[tex]A = (x,y)[/tex]

[tex]A' = (y,x)[/tex]

i.e, we simply swap the positions of x and y

So, for:

[tex]G = (4,1)[/tex]

[tex]H = (5,-4)[/tex]

[tex]I = (2,-8)[/tex]

The reflections are:

[tex]G' = (1,4)[/tex]

[tex]H' = (-4,5)[/tex]

[tex]I = (-8,2)[/tex]

See attachment

Pls help solve this question

Answers

Interpretation of axes and scales:

The horizontal axis (x-axis): There is time in seconds on the horizontal axis

Scale: 1 unit in the x-axis = 1 second

The vertical axis (y-axis): There is the distance in feet which is the height of the elevator from the ground on the horizontal axis

Scale: 1 unit in the y-axis = 20 feet

Interpretation of the origin:

The coordinate is represented by the point (0,0) in the graph. This means at time = 0 the height of the elevator =0, i.e the elevator is on the ground at the starting time.

two right triangles that are not similar can still have a pair of congruent acute angles.
A. True
B. False

Answers

Answer:False.

Step-by-step explanation:Any two right triangles, similar or not, must have one pair of congruent angles, the right angles. If one pair of acute angles angles is congruent, then by AA Similarity, the triangles are similar.

The diameter of a football is 12 cm. Calculate its volume.​

Answers

Answer:

(4/3)*(22/7)*6*6*6

answer is 905.14

Hyan has saved $300 more than two-thirds of the cost of the down
payment on a car. If he has $1240 saved, how much is the down payment?
algebra problem

Answers

Answer:

$1410

Step-by-step explanation:

Hyan has $1240 saved, which is equal to 2/3 of the down-payment, plus an additional $300

$1240-$300= $940

$940 is equal to 2/3 of the payment, in other words, it's two 1/3 payments, so we can split $940 into two to see how much is equal to 1/3 of the payment.

$940/2= $470 = 1/3

Three 1/3 equal 1 whole so we multiply $470 by 3 to find the amount of the whole payment

$470x3= $1410

Please help ASAP!! WILL GIVE BRAINLIEST!!!!! This will get my grade up to passing, please. Who ever helps tysm. :)

Answers

J=10 K=16 L=17 M=18 W=625 X=645 Y=729 Z=1000 Please give me the brainliest this took forever,also good luck!!!

Answer:

J=18.5

K= 16

L= 17

M= 18

W= 625

X=645

Y= 729

Z= 1000

please help!! I'm confused

Answers

area is length times width. you can answer your question by using that formula
A = l x w (Area = Length times Width)
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