MATHEMATICS MIDDLE SCHOOL

If sin(O) = 24/25 and 0 is in Quadrant I then what is sin (0/2)?
Simplify your answer
​
If sin(O) = 24/25 and 0 is in Quadrant I - 1

Answers

Answer 1
Answer:

Answer:

sin((\theta)/(2)) = (3)/(5)

Step-by-step explanation:

Given that:

sin\theta = (24)/(25)

Using trigonometric identity:

sin^(2)x +cos^(2)x=1

Putting x=\theta

sin^(2)\theta +cos^(2)\theta=1

\Rightarrow cos^2\theta = 1 - ((24)/(25))^2\n\Rightarrow cos^2\theta = (625 - 576)/(625) = (49)/(625)\n\Rightarrow cos\theta = (7)/(25)

Positive value taken because \theta is in first quadrant and value of cos\theta will be positive.

Now using the formula:

sin^2x=(1-cos2x)/(2)

Here, putting 2x=\theta

sin^2x=(1-cos2x)/(2)

sin^2((\theta)/(2))=(1-(7)/(25))/(2)\n\Rightarrow sin^2((\theta)/(2))=(18)/(25* 2)\n\Rightarrow sin^2((\theta)/(2))=(9)/(25)\n\Rightarrow sin((\theta)/(2))=(3)/(5)

Positive value taken because \theta is in first quadrant and value of sin((\theta)/(2)) will be positive.

Related Questions

To decrease an amount by 60% what single multiplier would you use?
1. On a "bicycle built for two," or tandem bike, one cyclist sits __________ to the other.2. Do you think that our __________ will continue to eat the same kinds of food and live in the same kinds of houses as we do today?3. Although he died an unknown pauper, Edgar Allan Poe has achieved ______________ recognition.4. Gorillas are the largest of the _____________s. 5. The ________________s of the Common Market countries met to discuss the Parliament of Europe.Words:PremierPrimatePrimePrimevalPrimordialPosteriorPosterityPosthumousPLEASE I NEED HELP ASAP!!!!!!!!!!!!!!!!
A sweater is on sale for $33. This is 75% of the original price. Find the original price?
Max walks 6 laps around the track in 30 minutes. How many laps around the track does Max walk in 1 minute
72-(63-8) and (72-63)-8

What is 0.2 as a fraction in simplest form.

Answers

2/10, but reduced would be 1/5.

10 / 2 - 5
2 / 2 - 1
well, you start with 
20/100
divide both sides by 20 and you get
1/5

Which pairs of variables would most likely have a positive association? Choose all that apply. •The age of a kitten and it’s weight

•Temperature and sales of mittens

•Temperature and sales of Ice Cream

•The height of students and their scores on a test

• the number of notebooks bought and the total cost

•the amount of time walking home and the current distance from home

Answers

The pair of variables would most likely have a positive association are follow:

  • The age of a kitten and it's weight
  • Temperature and sales of ice cream
  • The number of notebooks bought and the total cost

What is Positive association?

Two variables have a positive association when the values of one variable tend to increase as the values of the other variable increase

Here,

  • Age of a kitten and it's weight
  • Temperature and sales of ice cream
  • Number of notebooks bought and the total cost

There are positive association pairs because when the values of one variable tend to increase as the values of the other variable increase

Hence, the pair of variables would most likely have a positive association are follow:

  • Age of a kitten and it's weight
  • Temperature and sales of ice cream
  • Number of notebooks bought and the total cost

Learn more about Positive association here

brainly.com/question/26530500

#SPJ2

Answer:

The age of a kitten and it’s weight

Temperature and sales of Ice Cream

The number of notebooks bought and the total cost

Step-by-step explanation:

How many times can 26 go into 59

Answers

It can only go twice. 26 x 2 = 52, but 59 - 52 is 7, which is smaller than 26. So the final answer should be 2.
Hope this helped! :)

what is the volume of a rainwater collection tank that is shaped like a cylinder with a diameter of 10 cm when using 3.14 for\pi

Answers

The equation to find the volume of a cylinder is V=\pi×r²×h. To find r you just divide the diameter which is 10 by 2 so r is 5. Just plug everything in and solve, V=\pi×5²×243.84. You should get V≈19,151.15

Help me please this is due tmr

Answers

50/2.5=20

20 is your unit rate

Which decimal has the same value as 7/8

Answers

0.875 is the answer hope you like it!!!!!!!!!!!
The numerator is the top part of a fraction, and the denominator is the bottom part of a fraction. 

To convert a fraction to decimal you simply have to divide. 

7/8 

7 ÷ 8 = 0.875
Other Questions
The cost of 2 tv and 3 DVD player is $1421. The cost of 1 dvd is half of the tv. What's the cost of the tv
If (x-1) / x =20 , then x=
100 to 150? Need this before midnight!
12 divided by the sum of h and 2 Write it in algebraic expression