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
strojnjashka [21]
3 years ago
6

If sin theta is negative and cot theta is positive, in which quadrant does theta terminate?

Mathematics
1 answer:
krok68 [10]3 years ago
8 0

All you need to know is that:

  • In the first quadrant, both coordinates are positive
  • In the second quadrant, x is negative and y is positive
  • In the third quadrant, both coordinates are negative
  • In the fourth quadrant, x is positive and y is negative
  • The sine is the y coordinate of the points on the unit circle
  • The cosine is the x coordinate of the points on the unit circle
  • The cotangent function is defined as the ration between the cosine and the sine of an angle.

So, if sin theta is negative and cot theta is positive, you're saying that you're looking at a point with negative y coordinate and such that

\dfrac{\cos(\theta)}{\sin(\theta)}>0

The ratio of two numbers is positive if and only if they have the same sign, so the cosine must by negative as well.

Saying that an angle has negative sine and cosine is the same as saying that the angle identifies a point on the unit circle where both x and y coordinates are negative.

So, if you look at the bullet list at the beginning, you'll see that the point is in the third quadrant.

You might be interested in
A science experiment calls for a mixture of 400 mL of liquid A, 2.5 L of liquid B, 650 mL of liquid C, and 1 L of liquid D. Whic
IceJOKER [234]

Answer:

5L.

Step-by-step explanation:

This is because there are 1000 mL in an L so .4 + 2.5 + .65 + 1 = 4.55 which is then rounded up to 5L.

5 0
3 years ago
Decrease 18tonnes by 30%
Tom [10]
18\tonnes -18\ tonnes\ * 30\ \% =18\tonnes -18\ tonnes\ * 0,3 = 18\tonnes -2,4\ tonnes=15,6\ tonnes


5 0
3 years ago
Where is 27/5 on a number line
Stolb23 [73]
Between 5 and 6 - 5.4.
8 0
3 years ago
Read 2 more answers
How would you graph 2x > 6 on a number line?
elena55 [62]

Hope its understandable

6 0
3 years ago
Find the area of the circle. Round your answer to the nearest tenth.
kotegsom [21]

Step-by-step explanation:

area of a circle

A = pi x r^2

r=9

8 0
3 years ago
Other questions:
  • Write the integer as a product of two integers such that one of the factors is a perfect square. 27
    12·1 answer
  • The back of George's property is a creek. George would like to enclose a rectangular area, using the creek as one side and fenci
    11·1 answer
  • Challenge to all the maths lover
    12·1 answer
  • Alejandro rounded the number 76.518 to 76.5. Jiro rounded the same number to 76.52. Who is correct? Explain your reasoning
    8·2 answers
  • A businessman bought a fairly used radio set for 950 dollars and spent 250 dollars for repairing it before selling it for 1500 d
    14·2 answers
  • If you divide 3/4 by 4/7 what is the answer in fraction form?
    14·1 answer
  • Find the discrimanant and the number of real roots for this equation x^2+2x+8=0
    12·1 answer
  • Help pls all shaded parts need answers
    6·1 answer
  • NEED HELP ASAP THANKS.
    14·1 answer
  • Please help! i give as many points as i have away
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!