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
antiseptic1488 [7]
2 years ago
10

PLEASE HELP ME I'M GIVING 20PTS AND MARKING BRAINLIEST!!!!

Mathematics
1 answer:
pishuonlain [190]2 years ago
5 0

Using a trigonometric identity, it is found that the values of the cosine and the tangent of the angle are given by:

  • \cos{\theta} = \pm \frac{2\sqrt{2}}{3}
  • \tan{\theta} = \pm \frac{\sqrt{2}}{4}

<h3>What is the trigonometric identity using in this problem?</h3>

The identity that relates the sine squared and the cosine squared of the angle, as follows:

\sin^{2}{\theta} + \cos^{2}{\theta} = 1

In this problem, we have that the sine is given by:

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

Hence, applying the identity, the cosine is given as follows:

\cos^2{\theta} = 1 - \sin^2{\theta}

\cos^2{\theta} = 1 - \left(\frac{1}{3}\right)^2

\cos^2{\theta} = 1 - \frac{1}{9}

\cos^2{\theta} = \frac{8}{9}

\cos{\theta} = \pm \sqrt{\frac{8}{9}}

\cos{\theta} = \pm \frac{2\sqrt{2}}{3}

The tangent is given by the sine divided by the cosine, hence:

\tan{\theta} = \frac{\sin{\theta}}{\cos{\theta}}

\tan{\theta} = \frac{\frac{1}{3}}{\pm \frac{2\sqrt{2}}{3}}

\tan{\theta} = \pm \frac{1}{2\sqrt{2}} \times \frac{\sqrt{2}}{\sqrt{2}}

\tan{\theta} = \pm \frac{\sqrt{2}}{4}

More can be learned about trigonometric identities at brainly.com/question/24496175

#SPJ1

You might be interested in
Top Hat Soda has 300,000 milliliters of cola to bottle. Each bottle holds 500 milliliters. How many bottles will the cola fill?
skad [1K]

Answer:600

Step-by-step explanation:

300,000/ 500 =600

7 0
3 years ago
HELPP!! PLEASE ITS DUE SOON
Debora [2.8K]

Answer:

100%

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
The earth travels one full rotation around the sun in approximately 365.25 days. How many minutes does it take for the earth to
kozerog [31]

Step-by-step explanation:

365.25days

1day=1440min

365.25days= 365.25×1440

=525960min.

as i guess.

8 0
2 years ago
Solve the inequality −22 + 4q &gt; 2
Mars2501 [29]

First you had to add by twenty-two from both sides of equation form.

-22+4q+22>2+22

Then simplify by equation.

4q>24

Next, you divide by four from both sides of equation form.

\frac{4q}{4}> \frac{24}{4}

Finally, simplify by equation.

24/4=6

24/6=4

6*4=24

4*6=24

q>6

Final answer: \boxed{q>6}

Hope this helps!

And thank you for posting your question at here on brainly, and have a great day.

-Charlie

8 0
3 years ago
PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA 40 POINTS* DONT SKIP :(( .!
Y_Kistochka [10]

53 and 17

Step-by-step explanation:

If you add 53 and 17, you get 70.

If you subtract 17 from 53, you get 36. Hope this helps!

7 0
3 years ago
Other questions:
  • Radio listeners were asked to call in and pick their two favorite rodents the listeners had 4 choices woodchuck prairie dog beav
    9·1 answer
  • I’m confused on this one
    7·2 answers
  • A car is traveling at a speed of yy miles per hour. Which situation would be described by the expression 1.2y1.2y? the speed of
    7·1 answer
  • The number of finance majors within the School of Business is an example of
    14·1 answer
  • A farmer will divide a 12-acre plot of land into three equal-sized sections. What will be the size of each section?
    12·2 answers
  • Least to greatest 1.41 , 1.047, 1.444 (repeated), 1.4, 1.04
    8·1 answer
  • The hypotenuse of a right triangle is 12, and one of the legs is 4, what’s the missing leg
    15·1 answer
  • rew wants to build a square sandbox with an area of 324 square feet. What is the total length of wood Drew needs to make the sid
    9·1 answer
  • Are 3and 9 divisible by 27,621
    6·1 answer
  • susmita has $500 in the denominations of $10, $20 and $50 notes. IF she has 5 $50 notes and the number of $10 notes is 4 more th
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!