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
I am Lyosha [343]
3 years ago
14

Given sin theta=1/3 and 0 < theta< π/2; find tan 2 theta.

Mathematics
1 answer:
mote1985 [20]3 years ago
6 0

Answer:

tan2θ = 4√2/7

Step-by-step explanation:

Given sin theta=1/3 and 0 < theta< π/+

Required

tan 2 theta

tan2 theta = 2tanθ/1-tan²θ

Get tan θ

sinθ = opp/hyp

adj = √3²-1²²

adj = √9-1

adj = √8

tanθ = opp/adj = 1/2√2

tan2 theta = 2(1/2√2/1-(1/2√2)²

tan2θ = 1/√2/1-1/8

tan2θ = 1/√2/7/8

tan2θ =  8/7√2

Rationalize

tan2θ = 8√2/14

tan2θ = 4√2/7

You might be interested in
Ok so i was walking with my computer and fell in a hole and i cant get out what do i do HELP ME
Alexus [3.1K]

First you go on the computer and you know how there's always a FBI agent watching you? You tell the FBI agent that your stuck in a hole and you need help. Then the FBI agent will send their team to come and get you but it won't be so easy because why? The little old lady you ran over decided to get revenge and set up a trap. so now it's the FBI vs The little old lady

the FBI starts to shoot at the Old Lady but she moves so fast she like lighting then she goes to attack the FBI agent but then the FBI agent reveals himself as the her grandson! Apparently he was able to get away and survive her attack since this caught the old lady off guard the grandson smashes cookies into her face and help you out of the hole

your welcome

5 0
3 years ago
Read 2 more answers
Please answer I will give brainiest. 24 is (8 1/3) percent of what number? I know how to do it but the SMALL decimal I am gettin
Liono4ka [1.6K]

Answer:

288

Step-by-step explanation:

24 = 8 1/3 % of x

24 = (25/3 * 1/100)x

25/300 x = 24

x = 24 * 300/25

x = 7200/25

x = 288

5 0
3 years ago
8TH GRADE MATH 100 POINTS+BRAINLIEST - Factor Quadratic equations- please write out the steps, explain simply, and possibly prov
Anestetic [448]

Hello,

We have : (a + b)² = a² + 2ab + b²

4x² + 20x + 25 = (2x)² + 2 × 2x × 5 + 5² = (2x + 5)² → answer B

Here, we have a = 2x and b = 5 !

6 0
2 years ago
Read 2 more answers
You have $550 in a savings account that earns 3% simple interest each yaer. How much will be in your account in 10 years?
bija089 [108]
Looking at the given question, we can find several important information's and based on thm we can easily calculate the amount after 10 years.
Principal amount = $550
Rate of interest per year = 3%
Number of years the amount is to be kept = 10 years
Now we get put these information's in the formula of finding amount of money kepy in simple interest.
Amount = P(1 + rt)
Where
p = principal amount
r = rate of interest
t = Time
Then
Amount = 550[1 + (3/100) * 10)]
             = 550 [1 + 3/10]
             = 550 * (13/10)
             =  55 * 13
             = 715 dollars
So the total amount in my account will be $715
4 0
3 years ago
Matt has 11 white buttons. He has 9 fewer brown buttons than white buttons. Matt has 17 more grey buttons than brown buttons. Ho
In-s [12.5K]

Answer: 32 buttons

Step-by-step explanation:

Matt has 11 white buttons.

Matt has 9 fewer brown buttons than white buttons. This means he has (11 -9) = 2 brown buttons

Matt has 17 more grey buttons than brown buttons. This means that he has (2 + 17) = 19 grey buttons.

The total number of buttons that Matt has will be;

= 11 white + 2 brown + 19 grey

= 32 buttons

7 0
3 years ago
Other questions:
  • Joe wants to paint the outside of a wooden box. He needs to find the surface area of the box
    13·2 answers
  • Two triangles can be formed with the given information. Use the Law of Sines to solve the triangles. A = 55°, a = 12, b = 14
    12·2 answers
  • Which set of sides will make a triangle?
    5·2 answers
  • The bacterium, cholera, reproduces at an exponential rate which can be modeled through the continuous growth model. If the value
    13·1 answer
  • Variables x and y are in direct proportion, and y = 48n when x = 16n. Which value of k correctly relates x and y in the equation
    8·2 answers
  • Four times the sum of a number and 3 is 5 times that number
    15·1 answer
  • 1. 39 = 1 3/10b<br><br> 2. 2/5g = 3/5
    13·2 answers
  • I need help on Part B
    8·1 answer
  • The gypsy moth is a serious threat to oak and aspen trees. A state agriculture department places traps throughout the state to d
    15·1 answer
  • How many significant figures does the value of 0.080 have?​
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!