1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
fgiga [73]
3 years ago
9

How do i work this problem sin(2cos^-1 1/11)

Mathematics
1 answer:
lora16 [44]3 years ago
5 0
\sin\left(2\cos^{-1}\dfrac1{11}\right)=2\sin\left(\cos^{-1}\dfrac1{11}\right)\cos\left(\cos^{-1}\dfrac1{11}\right)

When 0, you have \cos(\cos^{-1}x)=x, so you can simplify the above slightly to get

\sin\left(2\cos^{-1}\dfrac1{11}\right)=\dfrac2{11}\sin\left(\cos^{-1}\dfrac1{11}\right)

Now picture a right triangle and pick one of the non-right angles. Let this angle's cosine be \dfrac1{11}. This means the leg adjacent to this angle must have length 1, while the hypotenuse must have length 11. By the Pythagorean theorem, the length of the remaining leg must be

\sqrt{11^2-1^1}=\sqrt{121-1}=\sqrt{120}=2\sqrt{30}

This means the sine of this angle is \dfrac{2\sqrt{30}}{11}, and so

\sin\left(2\cos^{-1}\dfrac1{11}\right)=\dfrac{4\sqrt{30}}{121}
You might be interested in
Gow do I covert 6,080 to kilgrams<br>​
Nadya [2.5K]

Answer:

6.08kg

Step-by-step explanation:

Divid by 1000

3 0
3 years ago
Read 2 more answers
HELP (SEE IMAGE) what triangle must be a right triangle and why???
pashok25 [27]
The answer would be D
8 0
3 years ago
Read 2 more answers
The product of two positive consecutive odd integers is 2703. What are the positive numbers?
liberstina [14]

Answer:

The positive numbers are 51 and 53

Step-by-step explanation:

Let first odd integer be x and another odd integer is (x+2).

According to the given condition,

The product of two positive consecutive odd integers is 2703 i.e.

x(x+2) = 2703

x^2+2x-2703=0

It is a quadratic equation. It can be solved as follows :

x = 51 and x = -53

Neglecting negative sign,

The first number = 51

Another number =(51+2) = 53

Hence, the positive numbers are 51 and 53.

7 0
3 years ago
The Angle-Angle Similarity Postulate states that “If two angles of one triangle are congruent to 2 angles of another triangle, t
grigory [225]
False because that proves the triangles are similar, not congruent
7 0
3 years ago
Could a polyhedron exist with the given number of faces, vertices, and edges? Drag yes or no to each combination
DanielleElmas [232]

Answer:

(a) No

(b) No

(c) No

Step-by-step explanation:

Given

See attachment

Required

Select Yes or No for each

To do this, we make use of Euler's formula

F + V - E = 2

Where

F \to Faces; V \to Vertices; E \to Edges

(a):\ Faces = 8; Vertices = 12; Edges = 6

Using: F + V - E = 2

8 + 12 - 6 = 2

14 = 2

<em>The above equality is false. Hence, (a) does not exist</em>

(b):\ Faces = 6; Vertices = 6; Edges = 4

Using: F + V - E = 2

6 + 6 - 4 = 2

8 = 2

<em>The above equality is false. Hence, (b) does not exist</em>

<em />

<em />(c):\ Faces = 20; Vertices = 30; Edges = 12<em />

Using: F + V - E = 2

20 + 30 - 12 = 2

38 = 2

<em>The above equality is false. Hence, (c) does not exist</em>

5 0
3 years ago
Read 2 more answers
Other questions:
  • 90 c + 62/9 , when c = 37
    9·1 answer
  • In a sketch, a fountain is drawn 1/4 yard tall. The actual fountain will be 68 times as tall. How tall will the fountain be?
    6·1 answer
  • Number 2 I need help please?!!!!):
    10·2 answers
  • # 2 Find the missing side, Round to the nearest tenth.
    14·1 answer
  • Stan's savings account has a balance of $4706. after 4 years, what will the amount of interest be at 4% compounded quarterly?
    10·1 answer
  • The luxury Swiss Chalet hotel general manager (GM) reported to her owner that the hotel's Occupancy Index for the calendar year
    8·1 answer
  • -6x-10=20<br><br> Show me the steps.
    12·1 answer
  • PLZ ANSWER FAST WILL GIVE BRAINLIEST Find the value of x.<br> 148
    5·1 answer
  • I need help please <br> Pre algebra <br><br> It’s due please
    6·2 answers
  • What is the slope of the line of the equation y = x + 4?
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!