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
dusya [7]
3 years ago
5

Find the value of each expression using the given information.

Mathematics
1 answer:
Slav-nsk [51]3 years ago
7 0

Recall that \cos^2\theta+\sin^2\theta=1. So

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

Given that both \cos\theta and \tan\theta, and knowing that \tan\theta=\dfrac{\sin\theta}{\cos\theta}, it follows that we should expect \sin\theta>0, so we take the positive root above.

Now

\sin\theta=\sqrt{1-\left(-\dfrac15\right)^2}=\dfrac{2\sqrt6}5

Then

\cot\theta=\dfrac{\cos\theta}{\sin\theta}=\dfrac{-\frac15}{\frac{2\sqrt6}5}=-\dfrac1{2\sqrt6}

You might be interested in
One of the questions on a survey asked adults a series of questions on attitudes toward automation. The results showed that 2,97
harina [27]
A. Develop a point estimate of the proportion of respondents who are you worried about a future in which robot and computer can do you many human jobs
7 0
3 years ago
Use the discriminant to find what type of solutions the equation has,<br> 3x^2+ 7x = 7
kherson [118]
X
=
−
7
±
133
6
x=
6
−7±
133
​

​
3 0
2 years ago
Add and simplify 9/16 + 1/2 equals
Tomtit [17]
For this question you can say: 
1/2 = 8/16
so now you can add easily:
9/16 + 8/16 = 17/16 and that's the simplest fraction but you can also say:
17/16 = 1.0625 :)))
i hope this is helpful 
have a nice day 
3 0
3 years ago
Read 2 more answers
the average of two numbers is 34. The second number is three times the first number. What are the two numbers?
zvonat [6]
Hey!To solve this problem, we need to set up two equations and use the system of equations to solve.

Let x be the first number.
Let y be the second number.

(x + y) ÷ 2 = 34
x = 3y

Now, we can use substitution to solve.

(3y + y) ÷ 2 = 34
4y ÷ 2 = 34
2y = 34
y = 17

Now, you plug the value of y in the equation to solve for x.

x = 3*17
x = 51
hope this helps!!
8 0
3 years ago
Read 2 more answers
The shortest living domestic cat measure 133.4 milimeters tall is the cat?
Vikki [24]

Answer:

Its 133.4 millimeters?

Step-by-step explanation:

7 0
2 years ago
Other questions:
  • When factoring x^2 + 9x + 18, what's the first thing you should look at?
    15·1 answer
  • How do I get the out number to 30?
    7·1 answer
  • Three lengths of 2.25 feet each are cut from a board 12 feet long. How long is the remaining piece of wood?
    13·1 answer
  • Reread all directions on the previous page that are typed in boldface.
    7·1 answer
  • Each of 7 students reported the number of movies they saw in the past year. Here is what they reported. 15,11,15,18,13,4,5. Find
    13·1 answer
  • What are 2 or more fractions of each of these??
    5·2 answers
  • Explain how the inverse and the contopositivve of a conditional are alike and how they are different
    10·1 answer
  • Help :)))))))))))))))))))))))))))))
    14·2 answers
  • Anyone else bored or want to vent?​
    5·1 answer
  • Find the missing measurements.
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!