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
Marizza181 [45]
3 years ago
6

Write the trigonometric expression Cos (arcsin (u)) As an algebraic expression in u

Mathematics
1 answer:
makvit [3.9K]3 years ago
5 0
When we use arcsine, we are finding the angle while giving the trigonometric ratio.

Arcsin(u) = theta can be rewritten as:

sin(theta) = u

Sine is opposite over hypotenuse, so u/1 means that the side opposite to theta (the y value) is u, and the hypotenuse is 1.

We can use Pythagorean Theorem to find the adjacent (x value).

1^2 - u^2 = x^2

x = sqrt(1-u^2)

Back to the original question, we are trying to find cos(arcsin(u)). We just solved all the sides for our triangle using arcsin(u). Now we need to do cos(u).

Cosine is adjacent over hypotenuse.

So our answer is sqrt(1-u^2)/1

Or just sqrt(1-u^2)







You might be interested in
Which of the following is the solution to | x | +5< 1?
marissa [1.9K]

C. No Solution

<u>Explanation</u>

<u></u>

The above equation has no solution as the value of x is always mod x which means the value is always positive. Hence to make the equation true, we need value of mod x less than -4 which is not possible. Hence this equation as no solution.

|x| + 5< 1\\|x| + 5 -1 < 0\\|x| +4 < 0\\|x| < -4

Since, |x| can never be < -4 because value of |x| is always greater than or equal to, Hence this equation has no solution.

7 0
3 years ago
A diameter of a circle is 16 units. What is the radius of the circle?
alekssr [168]
R= diameter/2
answer: 8 units
6 0
3 years ago
(2a-4a2+8)+(5a2 -5a+6)
lana [24]
A^2-3a+14 is the answer :)
8 0
2 years ago
Read 2 more answers
Please help what is the equation
Elanso [62]

let us take any two points here (5,20) and (7,30)

now let us use slope formula to get its slope

slope=\frac{y2-y1}{x2-x1}

slope=\frac{30-20}{7-5}

slope =5

now let us use one coordinate (say (5,20)) and slope to get the y intercept

20= 5*5 +b

b=-5

plugging the values of b and m in the given equation we get

y=5x-5

or c=5m-5

7 0
3 years ago
The sum of, half of a number and double the number is 20. Find the number.​
LiRa [457]

Answer:

The number is 8.

Step-by-step explanation:

Rewrite the word problem as an equation.

The sum of (we will be adding.), half of a number (we can use x, this will be written as x/2.) and double the number (this will be written as 2x) is 20.

To find the number, solve the equation.

x/2 + 2x = 20

Multiply both sides by 2.

x + 4x = 40

Combine terms.

5x = 40

Divide both sides.

x = 8.

8 0
2 years ago
Read 2 more answers
Other questions:
  • If Jonah is in love with 12 girls but all of them break up with him. How many people love Jonah? (should be zero)
    6·1 answer
  • Find the sum or difference. (5a – 3b2 – a) + (b – 5 + 8a2)
    14·1 answer
  • What is the solution to the equation x + 8.5 = 64.5? 7.6 48 56 73
    8·2 answers
  • Is It Safer To Drive Or Get On A Plane?
    9·2 answers
  • An executive invests $27,000, some at 8% and the rest at 7% annual interest. If he receives an annual return of $2,050, how much
    10·2 answers
  • In the city election, the mayor received 0.79 of the votes. What percentage of the votes did the mayor receive ?
    11·2 answers
  • How many inches of lumber are remaining?<br>​
    7·1 answer
  • Two buildings are 12m apart on the same horizontal level. From the top of the taller building, the angle of depression of the bo
    12·1 answer
  • Hai are yall real:/?
    9·2 answers
  • What is the sum of the first seven ​
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!