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]
2 years ago
14

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

Mathematics
1 answer:
mote1985 [20]2 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
Simplifying an algebra -3(y+2)
Brrunno [24]

Answer: -9y


Step-by-step explanation:

Step1: -3 is multiplied by y = -3y

Step 2: -3 multiplied by 2 = -6

Step 3: -3y + -6

6 0
3 years ago
Fraction Questions:
bagirrra123 [75]

Answer:

0

Step-by-step explanation:

3 0
1 year ago
Read 2 more answers
Which expressions are equivalent to k/5 Choose two answers
lozanna [386]

Answer:

c i think                                                                              

i remember having this question

8 0
3 years ago
Read 2 more answers
What is the area of triangle pqr on the grid? a triangle pqr is shown on a grid. the vertex p is on ordered pair 7 and 6, vertex
horsena [70]

P(7,6), Q(1,6), R(4,2)

We have PQ parallel to the x axis. We'll call that the base,

b = 7 - 1 = 6

The altitude is then the y difference h = 6 - 2 = 4

The area is \frac 1 2 bh = \frac 1 2 (6)(4) = 12

Answer: 12 square units


In general we can use the shoelace formula for the area of any polygon given coordinates. We write the points like this:

(7,6), (1,6), (4,2)

(1,6), (4,2), (7,6)

The area is then half the absolute value of the sum of the cross products:

A = \frac 1 2 | 7(6)-6(1) + 1(2)-6(4) + 4(6)-2(7) | = \frac 1 2 |24| = 12


6 0
3 years ago
Read 2 more answers
Write the equation of the line that passes through the points (4,9) and (9,1). Put
Sonbull [250]

Answer:

y=-8/5x+77/5

Step-by-step explanation:

The equation of line that passes through the points (4, 9) and (9, 1) is y=-8/5x+77/5. Hope it helps!

7 0
3 years ago
Other questions:
  • A bisector of an angle separates evenly into two parts of 45 degrees that means the two new angles are
    8·1 answer
  • Please help with the percent part
    15·1 answer
  • How should I do this question
    11·2 answers
  • There were a total of 61,069,054 votes for the winner in the 2004 presidential election.
    12·2 answers
  • Question 5 (4 points)
    14·1 answer
  • Find the perimeter of quadrilateral ABCD with vertices A=(1,1) B=(4,4) C=(7,1) D=(4,-2). Explain your answer.​
    13·1 answer
  • When finding the slope of a line using a slope triangle, the____
    13·1 answer
  • What is the measure of ∠A, the exterior angle of the triangle shown below? F. M∠A = 92°, because 180 – (50 + 38) = 92. G. M∠A =
    6·1 answer
  • Please help!!!!!!!!!
    13·1 answer
  • I DONT UNDERSTAND HOW TO DO THISSS PLEASE HELP
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!