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
Rzqust [24]
3 years ago
5

Given sin theta = 1/3 and 0 theta pi/2 find tan 2 theta

Mathematics
2 answers:
Kazeer [188]3 years ago
5 0

Answer:

\tan2\theta=\pm\dfrac{4\sqrt{2}}{7}

Step-by-step explanation:

Given: \sin\theta = \dfrac{1}{3}

0\leq \theta \leq \dfrac{\pi}{2}

Theta lie in first quadrant.

Multiply both sides by 2

0\leq 2\theta \leq \pi

2theta lie in I and II quadrant.

\tan2\theta is positive in I and negative in II quadrant.

\sin\theta=\dfrac{1}{3}

\cos\theta=\dfrac{2\sqrt{2}}{3}

\sin2\theta=2\sin\theta\cos\theta

\sin2\theta=2\cdot \dfrac{1}{3}\cdot \dfrac{2\sqrt{2}}{3}=\dfrac{4\sqrt{2}}{9}

\cos2\theta=\pm \sqrt{1-\sin^22\theta}=\pm\dfrac{7}{9}

\tan2\theta=\dfrac{\sin2\theta}{\cos2\theta}

\tan2\theta=\pm\dfrac{4\sqrt{2}}{7}

Hence, The value of \tan2\theta=\pm\dfrac{4\sqrt{2}}{7}

mrs_skeptik [129]3 years ago
3 0

Answer:

c on edge

Step-by-step explanation:

You might be interested in
What's the answer to this problem
Anna71 [15]
Um I think if you multiply the amount of hersheys by the ribbon you would get youre answer
Hoped i helped i couldn't see the number of ribbons
5 0
2 years ago
The sum of 7 times one number, x, and 4 times a second number, y, is 148. If the sum of the two numbers is 31, find the two numb
Andreas93 [3]

Answer:21.88

Step-by-step explanation:

6 0
3 years ago
25 POINTS!!!!!!
Oksana_A [137]

Answer:

Decisions help know what you believe in and in what you trust. It also expirements many new things. Some decisions end up being good one and correct ones.

4 0
3 years ago
152.5 is what percent of 61
Anna71 [15]
<span>152.5 is 250% of 61

Hope this helps! (tried to do an explanation and my browser crashed...) </span>
5 0
3 years ago
Read 2 more answers
Use substitution to solve the system. 2x-5(3x-7)=22
givi [52]
I hope it’s helpful. y = 2x + 5 x = 1
8 0
2 years ago
Read 2 more answers
Other questions:
  • Can you help? i forgot how to find the surface area!
    12·2 answers
  • Can someone please help me identify the bases and the height of this trapezoid on problem 1? Thank you!
    9·1 answer
  • The label on a ceiling lighting fixture warns you to use a lightbulb of 60 watts or less. The voltage to the lightbulb is 120 vo
    6·1 answer
  • Log2x (2x^2+8x-6) =2
    15·1 answer
  • PLEASE HELP, ANYONE? 15m is what percent of 60m; 3m; 30m; 1.5 km?
    11·1 answer
  • Help below please!!!!!!!!!!!!!!
    11·1 answer
  • A car traveled 100 miles in 10 minutes, what was the car's average speed ?
    12·2 answers
  • Calculate the area of a circle with the radius of 2cm. Pie=3
    14·2 answers
  • Complete the proof. PROVE:△VWY≅△UXY
    8·2 answers
  • Estimate the sum 8/10 + 1/9
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!