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
JulsSmile [24]
2 years ago
8

Find tanθ if sinθ=−25√5 is in the third quadrant.

Mathematics
1 answer:
irinina [24]2 years ago
4 0

Using a trigonometric identity, it is found that the tangent of the angle is of:

\tan{\theta} = \frac{2}{11}

<h3>How to find the sine of an angle given the cosine, or vice versa?</h3>

The sine and the cosine of the angle are related according to the following identity:

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

For this problem, the sine is given by:

\sin{\theta} = -\frac{2}{5\sqrt{5}}

Hence the cosine is found as follows:

\left(-\frac{2}{5\sqrt{5}}\right)^2 + \cos^2{\theta} = 1

\frac{4}{125} + \cos^2{\theta} = 1

\cos^2{\theta} = \frac{121}{125}

\cos{\theta} = \pm \sqrt{\frac{121}{125}}

On the third quadrant the cosine is negative, hence:

\cos{\theta} = -\frac{11}{5\sqrt{5}}

<h3>What is the tangent of an angle?</h3>

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

\tan{\theta} = \frac{-\frac{2}{5\sqrt{5}}}{-\frac{11}{5\sqrt{5}}} = \frac{2}{11}

More can be learned about trigonometric identities at brainly.com/question/26676095

#SPJ1

You might be interested in
You are standing on the ground looking up at a bird’s nest in a tree. You estimate you are 8 meters from the tree. When looking
slavikrds [6]

Answer:

8.31m

Step-by-step explanation:

tan 40 = Opp/Adj

tan 40 = x/8

x = 8 tan 40

x = 6.71m

Plus 1.6m = 8.31m

7 0
3 years ago
3(x + 6) = 72<br><br> Please help. I think it's either<br><br> 30 or 18
Amanda [17]
The correct answer is 18 . if you follow pemdas it really helps.
3 0
3 years ago
2.
il63 [147K]

Answer:

Note that the range is only the elements that were used. Yes, the relation {(3,2), (4,1), (5,9), (6,12), (7,12)}is a function. No x-value repeats.

Step-by-step explanation:because is a function

7 0
4 years ago
A man is trying to calculate the shadow of a 24 flag pole. He uses similar triangles by comparing his own height 5 ft to the len
Pie

Answer:

The answer to your question is 12 ft

Step-by-step explanation:

Data

Height of the flag pole = 24

shadow of the flag pole = x

height of the man = 5 ft

shadow of the man = 2.5 ft

Process

1.- Use the Thales' theorem to solve this problem

shadow of the flag pole/height of the flag pole = shadow of the man/height

                                                                                                 of the man

- Substitution

                     x/24 = 2.5/5

- Solve for x

                    x = 2.5(24)/5

- Simplification

                    x = 60/5

-Result

                   x = 12 ft

8 0
3 years ago
Work out the length of x<br><br>show working out​
Elena L [17]

Answer:

12.12

Step-by-step explanation:

the formula to find x in this case would be:

      ______

x=√14^2-7^2

x=√c^2﹣a^2=√14^2﹣7^2≈12.12436

3 0
3 years ago
Other questions:
  • 2ci 1=-d 6-ci solve for c and d
    5·1 answer
  • There are 40 students in an elementary statistics class. On the basis of years of experience, the instructor knows that the time
    14·1 answer
  • The surface area of a prism is 54 square inches. What is the surface area of a similar prism that is smaller by a scale 1/3
    10·1 answer
  • Q.2. A cricketer scores the following runs in eight innings :
    5·1 answer
  • If u solve this ur cool
    12·1 answer
  • The distance between -34 and 14
    12·2 answers
  • Life Expectancies In a study of the life expectancy of people in a certain geographic region, the mean age at death was years an
    8·1 answer
  • What is the angle of p
    9·2 answers
  • 50 POINTS!!!! PLEASE HELP WILL GIVE BRAINLIEST!!! :3
    10·1 answer
  • Which of the following is a complex number?
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!