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
faust18 [17]
2 years ago
13

Someone please help me with this lol… have no idea what I’m doing

Mathematics
1 answer:
Sholpan [36]2 years ago
6 0

Given:

\cos \theta =\dfrac{3}{5}

\sin \theta

To find:

The quadrant of the terminal side of \theta and find the value of \sin\theta.

Solution:

We know that,

In Quadrant I, all trigonometric ratios are positive.

In Quadrant II: Only sin and cosec are positive.

In Quadrant III: Only tan and cot are positive.

In Quadrant IV: Only cos and sec are positive.

It is given that,

\cos \theta =\dfrac{3}{5}

\sin \theta

Here cos is positive and sine is negative. So, \theta must be lies in Quadrant IV.

We know that,

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

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

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

It is only negative because \theta lies in Quadrant IV. So,

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

After substituting \cos \theta =\dfrac{3}{5}, we get

\sin \theta=-\sqrt{1-(\dfrac{3}{5})^2}

\sin \theta=-\sqrt{1-\dfrac{9}{25}}

\sin \theta=-\sqrt{\dfrac{25-9}{25}}

\sin \theta=-\sqrt{\dfrac{16}{25}}

\sin \theta=-\dfrac{4}{5}

Therefore, the correct option is B.

You might be interested in
Please help! Correct answer only!
arlik [135]

Answer:

<em>Expected Payoff ⇒ $ 1.50 ; Type in 1.50</em>

Step-by-step explanation:

Considering that 1 out of the 100 tickets will have a probability of winning a 150 dollar prize, take a proportionality into account;

100 - Number of Tickets,\\1 - Number of Tickets You Can Enter,\\\\1 / 100 - Probability of Winning,\\$ 150 - Money Won,\\\\Proportionality - 1 / 100 = x / 150, where x - " Expected Payoff "\\\\1 / 100 = x / 150,\\100 * x = 150,\\\\Conclusion ; x = 1.5 dollars

<em>Thus, Solution ; Expected Payoff ⇒ $ 1.50</em>

5 0
3 years ago
57 students choose to attend one of three after school activities: football, tennis or running.
skelet666 [1.2K]

The probability that the randomly selected student chose running is; 12/57

<h3>Solving Probability Questions</h3>

Total number of students = 57

Total number of boys = 24

Total number of girls = 33

Number of Girls that chose football = 17

Number of boys that chose football = 14

Number of students that chose Tennis = 14

Now, number of students that chose running will be;

Number of students that chose running = 57 - (31 + 14) = 12

Thus, probability that a randomly selected student chose running = 12/57

Read more about probability selection at; brainly.com/question/251701

3 0
2 years ago
Any help would be appreciated. Thank you
Anestetic [448]
14-3^2 x (-2)
=14-9 x (-2)
=14- (-18)
=32
5 0
3 years ago
Log4(x+2)-log4(x+3)=-1​
vova2212 [387]

Answer:

Step-by-step explanation:

I take it that the base of the log is 4.

So the question can be written as

log_4 [(x+2)/(x + 3)] = -1

If you take the antilog of this, you get

(x + 2)/(x+3) = 4^-1 = 1/4

Now Cross Multiply

4*(x + 2) = 1*(x + 3)               Remove  the brackets on both sides

4x + 8 = x + 3                       subtract x from both sides.

4x - x + 8 = x - x + 3             Combine

3x + 8 = 3                             Subtract 8 from both sides

3x = 3 - 8                              Combine

3x = - 5                                 Divide by 3

x = - 5/3

4 0
3 years ago
Given g(x)= -x - 4, find g(-5)
frutty [35]
G(x)= -(-5)-4
G(x)=5-4
G(x)= 1
1 it’s the answer
8 0
3 years ago
Other questions:
  • Given the function f(x)=x^4+10x^3+35x^2+50x+24 , factor completely. Show all work and steps. Then sketch the graph.
    13·1 answer
  • Draw one card at random from a standard deck of cards. the sample space s is the collection of the 52 cards. assume that the pro
    7·1 answer
  • Change the subject of a formula to S
    6·1 answer
  • The answer to all of these word problem
    11·1 answer
  • Is 5 rational or irrational?
    10·1 answer
  • Jules wrote the number 4 ten thousandths ona sheet of paper write this number as a decimal below
    12·1 answer
  • 6x – 3y + 2z = -30<br> 6x + 5y=-4<br> -6z= -18
    15·2 answers
  • Catherine's mother is
    14·1 answer
  • Questions attached below​
    8·1 answer
  • What is an equation of the line that passes through the points (4, 4) and (8, 1)?
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!