find exact value for f(x)=sin^-1(-1/2)

Find Exact Value For F(x)=sin^-1(-1/2)

Answers

Answer 1

Answer:

The exact value

  [tex]sin^{-1} (\frac{-1}{2} ) = \frac{7\pi }{6}[/tex]  =  210°

Step-by-step explanation:

Step(i):-

Given that the inverse trigonometry

          [tex]sin^{-1} (\frac{-1}{2} )[/tex]

We know that the sine function has negative in third quadrant

 [tex]sin^{-1} (\frac{-1}{2} ) = sin^{-1} ( sin (\pi +\frac{\pi }{6} )[/tex]

We have to use trigonometric formula

[tex]sin^{-1} ( sin (x)) = x[/tex]

Step(ii):-

[tex]sin^{-1} (\frac{-1}{2} ) = sin^{-1} ( sin (\pi +\frac{\pi }{6} ) = \pi +\frac{\pi }{6}[/tex]

                                                = [tex]\frac{6\pi +\pi }{6} = \frac{7\pi }{6}[/tex]

Final answer:-

The exact value

  [tex]sin^{-1} (\frac{-1}{2} ) = \frac{7\pi }{6}[/tex]


Related Questions

Two whole numbers A and B satisfy the following conditions. Find A and B.

A+B=44
A:B is equivalent to 4:7.

A=
B=

Answers

Answer: A = 16 and B = 28

Explanation:
16 + 28 = 44
16:28 = 4:7
:)

I forgot how to find a function in a graph ​

Answers

Answer:

This graph is NOT a function.

Step-by-step explanation:

A graph is a function only if there is exactly one y-value for every x-value. In this case, there are many x-values that have two y-values, making this graph not a function.

Let me know if this helps!

Evaluate if j = 6: 3] - 10


PLS HELP FAST‼️

Answers

Answer:

[tex]\sqrt{25}[/tex]

Step-by-step explanation:

How to graph Y > x- 4

Answers

Answer:

You should probably use a website called desmos if u ever need to graph somethin

Step-by-step explanation:

Plz try I need to show work just #3 thanks

Answers

implify the expression.

x
3
2
+
2
x

Please I really need help fast

Select the compound inequality shown on the graph.
+++
-5 -4 -3 -2 -1 0 1
N
3
4 5

A. x < -1 and x 24

B. x>-1 and x 34

C. -13x34

D. -13x<4

Answers

Answer:

B

Step-by-step explanation:

there is a hole at -1, so -1 is less than x and x is greater than or equal to 4

The compound inequality shown on the graph is x < -1 and x≥4.

What is Inequality?

Mathematical expressions with inequalities are those in which the two sides are not equal. Contrary to equations, we compare two values in inequality. Less than (or less than or equal to), greater than (or greater than or equal to), or not equal to signs are used in place of the equal sign.

We have the graph for the inequality.

The first part of the inequality is

x < -1

and, the second part of inequality x≥4

So, the compound inequality is x < -1 and x≥4.

Learn more about Inequality here:

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what percent is 28 out of 50

Answers

28/50 * 2 = 56/100

It is 56%.

56%      

thx r points

bye

I typing this because it said the answer was too

20% of a is 11. What is a?

75% of b is 12. What is b?

80% of c is 20. What is c?

200% of d is 18. What is d?

Answers

Answer:

hopefully that helps

Step-by-step explanation:

A: 55

B: 16

C: 25

D: 9

(3x - 5 - 7x^2) - (-2 + 6x^2 - 5x) write in descending order

Answers

Answer:

-13x^2+8x-3

Step-by-step explanation:

[tex](3x-5-7x^2)-(-2+6x^2-5x)\\3x-5-7x^2+2-6x^2+5x\\-13x^2 + 8x - 3[/tex]

which expression is equivalent to (x4)^9

Answers

Answer:

Step-by-step explanation:

[tex](a^{m})^{n}=a^{m*n}\\\\(x^{4})^{9}=x^{4*9}=x^{36}[/tex]

D Question 1 10 pts Which digit is in the hundredths place of 107.263? 07 2 6 Question 2 10 pts


btw can u help me with that​

Answers

Answer:

6

Step-by-step explanation:

We are given the number 107.263.

Using place value, locate the hundredths place.

107.263

The number 6 is in the hundredths place.

Hope this helps.

please help me..!!.....

Answers

Answer:

first one, -4+-5=-9

second one, is d, -6 14/15

Step-by-step explanation:

i hope this helps.    :)

2(x-5)=8x+14-2X
what is the first step

Answers

Answer:

Distribute the 2 through to the (x-5)

Step-by-step explanation:

After that you get x by itself and stuff like that, but first is distributing.

The maximum distance (in nautical miles) that a radio transmitter signal can be sent is represented by the expression 1.23√h , where h is the height (in feet) above the transmitter.
Estimate the maximum distance x (in nautical miles) between the plane that is receiving the signal and the transmitter. Round your answer to the nearest tenth.

Answers

Answer:

182.4 nautical miles

Step-by-step explanation:

Given

x = 1.23√hh = 22000 ft

Substitute h  and find the value of x:

x = 1.23√22000 = 182.4 nautical miles (rounded)

Don deposited $3,500 for 5 years on 2.40 pa interest rate in his savings account how much simple interest will he earn

Answers

3,500 (.024) = 84
84 (5) = $420 in simple interest

Help please!

The points (0,-14), (1,-3), (2,0), (3,5) are on a parabola. Write the function to represent this parabola.

Answers

Answer:

y= -4x^2 + 15x - 14

Step-by-step explanation:

A parabola is always in the form y = ax^2 + bx + c.

Substitute each point to produce different equations:

-14 = 0a + 0b + c = c

so c = -14

-3 = a1^2 + b1 + c = a + b - 14

so a + b = 11

0 = a2^2 + b2 + c = 4a + 2b -14 = 0

so 4a + 2b = 14

if we double a + b = 11 we get 2a + 2b = 22

Subtract this from 4a + 2b = 14 and we get 2a = -8 so a= -4 and b = 11 - a = 15

We don't need to use the (3,5) points as we have all the information we need.

Answer:

y= -4x^2 + 15x - 14

Step-by-step explanation:

The legs of a right triangle measure 10 feet and 24 feet. What is the length of the hypotenuse, in
feet?
A. 27
B. 26
C. 34
D. 71,644
E. 48

Answers

Answer:26

Step-by-step explanation:

a squared+b squared= the hypotenuse squared

Input

10 squared+24 squared=the hypotenuse squared

100+576=676 squared

Now we need to find the square route of 676 because this is the hypotenuse squared, and we need to find the hypotenuse. And the square route of 676 is 26.

-3 -5 1 0 3
Three different numbers from the list are added together to give the smallest possible total.
Complete the sum below.

Answers

The answer is -3 + -5 + 0 = -8 :)

Find the volume of this right rectangular prism. [type your answer as a number]

Answers

Answer:the answer is 70 u welcome text me if wrong armstrongtamarion

Step-by-step explanation:

3. What are the coordinates of the
image D(0.5, R)(1, 3), where R(−3, 5)
is the center of dilation?
A. (0.5,1.5) B. (-1.5,2.5) C. (3,2) D. (-1,4)

Answers

Answer:

d.(-1,4)

Step-by-step explanation:

Option D is correct, the coordinates of the image D are (-1, 4)

What is Graph?

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

To find the coordinates of the image D, we need to apply the dilation transformation centered at R(-3, 5). Let the scale factor be k.

The x-coordinate of D will be shifted k times the distance between 1 and -3, which is 4 units, from the x-coordinate of R, which is -3. So we have:

0.5 = -3 + k(4)

Solving for k, we get:

k = 1.375

Similarly, the y-coordinate of D will be shifted k times the distance between 3 and 5, which is 2 units, from the y-coordinate of R, which is 5. So we have

R: (x, y) = (-3, 5)

D: (x, y) = (-3 + 1.375(1 - (-3)), 5 + 1.375(3 - 5))

D: (x, y) = (-1, 4)

Therefore, the coordinates of the image D are (-1, 4), which is option D.

To learn more on Graph click:

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Need help quickly!!
Which of the following are perfect squares? Check all that apply.
A. 64
B. 11
C. 15
D. 16
E. 62
F. 49

Answers

The following are prefect squares A. 64, D. 16, and F. 49
64, 16, and 49 are all perfect squares.

What is the area of the triangle shown below?
A. 84 sq. units
B. 42 sq. units
C. 20 sq. units
D. 10 sq. units

Answers

Answer:

42 sq. Units

Step-by-step explanation:

I took the test

The area of the triangle shown below is B. 42 sq. units, the correct option is B.

What is the area of a triangle?

The area of the triangle is defined as the product of half the base and the height of the triangle.

We are given the parameters are;

Length of its base = b units

Its height = h units long,

Then we get:

Area of a triangle = 1/2 b h

We are given that;

Base= 14, Height= 6

Now,

The area of a right triangle is given by:

Area = (1/2) * base * height

Substituting the values;

Area = (1/2) * 14 * 6

= 42 square units

Therefore, the area of triangle will be 42 sq. units.

Learn more about area of a triangle;

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help Video
What is an equation of the line that passes through the points (2, 2) and (-2,8)?

Answers

y= -3x\2 + 5 hope this helped :))
The slope is m=-3/2
y-2=-3/2(x-2)
y-2=-3/2x+3
y=-3/2x+5

help me please its hard and im like really not smart.

Answers

Answer:

B

Step-by-step explanation:

Answer:

B= <B

Step-by-step explanation:

The lines indicate the congruence, <G and <C both have the two lines

Felipe has entered a hot-dog-eating contest. If he can eat 3 hotdogs in 12 minutes, how many hot dogs can he eat in 24 minutes?

Answers

Answer: 6 hotdogs

Step-by-step explanation:

From the question, we are informed that Felipe can eat 3 hotdogs in 12 minute. This means that he can ear one hotdog in 4 minutes (12/3).

The hot dogs that he can eat in 24 minutes will then be:

= 24/4

= 6 hotdogs

PLEASE HELP WILL MARK BRAINLY

Answers

Answer:

A, C, D, A, C

Step-by-step explanation:

This is one through five.

Answer:

1.

12 maths book =40 pounds

21 maths book =40×21/12=70 pounds

2.it may be 4.8 or 4.7 sorry question is not clear

3.

perimeter of trapezoid =sum of all side=12+10+19+15=56in

4.

area of trapezoid =1/2 (s1+s2)×h

=1/2 ×12(10+19)=174in²

5.

4²=16

√4=2

so 4² is 8times grater.

may someone help me ASAP? I am solving polynomial equations and I don't know how to do it, here is the equation... x^4+11x^2=3x^2+128

Answers

Answer:

[tex]x=2\sqrt{2}[/tex], [tex]x=-2\sqrt{2}[/tex], [tex]x=4i[/tex], [tex]x=-4i[/tex]

Step-by-step explanation:

[tex]x^4+11x^2=3x^2+128[/tex]

First, we subtract 128 from both sides:

[tex]x^4+11x^2-128=3x^2[/tex]

Then, we subtract [tex]3x^2[/tex] from both sides:

[tex]x^4+8x^2-128=0[/tex]

Rewrite the equation:

[tex]u^2+8u-128=0[/tex]

Insert and solve:

[tex]u^2+8u-128=0\\u=8,u=-16\\x^2=8:x=2\sqrt{2},x= -2\sqrt{2} \\x^2=-16:x=4i,x=-4i[/tex]

Please give Brainliest

Please help if possible :)

Answers

THE ANSWER IS: 16

since N is the incenter,
ND = NE = NF

set the two equations equal to each other
solve for x
plug back x into one of the equations

please help and show work​

Answers

Answer:

[tex]since \: the \: three \: sides \: are \: not\: equal : \\ its \: a \to \:\underline{\boxed{scalene}} \\ line \: \overline{AB} = 2 \\ line \: \overline{AC}= 6 \\ line \: \overline{BC} = 2 \sqrt{10} [/tex]

Step-by-step explanation:

[tex]to \: prove \: this \to \: we \: will \: need \: to \: find \\ \: the \: lenghts \: of \: the \: sides \: of \: \\ this \: triangle \to \\ using \: the \: shortest \: distance \: between \: \\ two \: points \to \: d \: = \sqrt{( {x_2 -x_1) }^{2} + (y_2 - y_1)^{2} } \\ \\ \underline{ \boxed{\overline{AB}}} \\ line \: \overline{AB} \: has \: points \to: ( - 3, - 3) \: and \:( 3, 5) \\ d \: = \sqrt{ (( - 3) - ( - 3))^{2} +( 5 - 3))^{2} } \\ d = \sqrt{(0) + (4)} \\ d = \sqrt{4} \\ \boxed{ d = 2 = AB} \\ \\ \underline{ \boxed{\overline{AC}}} \\ line \: \overline{AC} \: has \: points \to: ( - 3, - 3) \: and \:( 5, - 1) \\ d \: = \sqrt{ (( - 3) - ( - 3))^{2} +(( - 1) - 5)^{2} } \\ d = \sqrt{(0) + ( - 6) {}^{2} } \\ d = \sqrt{36} \\ \boxed{ d = 6 = AC} \\ \\ \underline{ \boxed{\overline{BC}}} \\ line \: \overline{BC} \: has \: points \to: ( 3, 5) \: and \:( 5, - 1) \\ d \: = \sqrt{ (5 - 3)^{2} +(( - 1) - 5)^{2} } \\ d = \sqrt{(2) {}^{2} + ( - 6) {}^{2} } \\ d = \sqrt{40} \\ \boxed{ d =2 \sqrt{10} = BC} \\ its \: a \: scalene : since \: the \: three \: sides \: are \: not\: equal[/tex]

Consider the function f (x) = x (x+3)(x – 4).
What are the zeros of the function?

Answers

Answer:

The solutions are:

[tex]x=0,\:x=-3,\:x=4[/tex]

Step-by-step explanation:

Given the function

[tex]f(x) = x(x+3)(x - 4)[/tex]

In order to determine the zeros of the function, we substitute f(x) = 0

[tex]0\:=\:x\left(x+3\right)\left(x\:-\:4\right)[/tex]

switch sides

[tex]x\left(x+3\right)\left(x-4\right)=0[/tex]

Using the zero factor principle

if ab=0, then a=0 or b=0 (or both a=0 and b=0)

[tex]x=0\quad \mathrm{or}\quad \:x+3=0\quad \mathrm{or}\quad \:x-4=0[/tex]

Thus,

x = 0

and solving x + 3 = 0

x + 3 = 0

subtracting 3 from both sides

x + 3 - 3 = 0 - 3

x = -3

and solving x - 4 = 0

x - 4 = 0

x - 4 + 4 = 0 + 4

x = 4

Therefore, the solutions are:

[tex]x=0,\:x=-3,\:x=4[/tex]

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