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
fgiga [73]
3 years ago
10

In which quadrant does ø lie if the following statements are true

Mathematics
1 answer:
lora16 [44]3 years ago
8 0

Answer:

Ф lies in the 2nd quadrant

Step-by-step explanation:

1. If angle Ф lies in the 1st quadrant, then

  • sin Ф is a positive value
  • cos Ф is a positive value
  • tan Ф is a positive value

2. If angle Ф lies in the 2nd quadrant, then

  • sin Ф is a positive value
  • cos Ф is a negative value
  • tan Ф is a negative value

3.If angle Ф lies in the 3rd quadrant, then

  • sin Ф is a negative value
  • cos Ф is a negative value
  • tan Ф is a positive value

4. If angle Ф lies in the 4th quadrant, then

  • sin Ф is a negative value
  • cos Ф is a positive value
  • tan Ф is a negative value

∵ sec Ф < 0

∴ sec Ф is a negative value

∵ cos Ф = 1/sec Ф

∴ cos Ф is a negative value

∵ csc Ф > 0

∴ csc Ф is a positive value

∵ sin Ф = 1/csc Ф

∴ sin Ф is a positive value

→ By using the second rule above

∴ Ф lies in the 2nd quadrant

You might be interested in
Can you help me please...............
musickatia [10]

Step-by-step explanation:

2πr is the formula is because the radius of a circle or a face of a circular object is used more often than the diameter. For example, the area of a circle is πr^2.

7 0
3 years ago
Give an example from your classroom of a three collinear point
Doss [256]
Chess board? , the board if there is like a line with points that has points on the same line
6 0
3 years ago
Tony is interested in the favorite activities of the students in his school. He surveys all the members of the school's chess cl
Alinara [238K]
No because he only surveyed the members of the chess club
7 0
2 years ago
Fred flips a coin, spins the spinner, and rolls a standard number cube. Find the probability that the coin will show tails, the
Inessa05 [86]

Answer:

The probability that the coin will show tails, the spinner will land on yellow or green (out of yellow, green, blue), and the cube will show a three is \frac{4}{3}  

Step-by-step explanation:

Given : Fred flips a coin, spins the spinner, and rolls a standard number cube.

To find : The probability that the coin will show tails, the spinner will land on yellow or green (out of yellow, green, blue), and the cube will show a three ?

Solution :

First we find probability one by one,

1) Flips a coin - Head, Tail

Total number of outcome = 2

Favorable outcome (getting a tail) = 1

Probability that the coin will show tails is P(T)=\frac{1}{2}

2) Spins the spinner - yellow, green, blue

Total number of outcome = 3

Favorable outcome (land on yellow or green) = 2

Probability that the spinner will land on yellow or green P(S)=\frac{2}{3}

3) Rolls a standard number cube - 1,2,3,4,5,6

Total number of outcome = 6

Favorable outcome (show a three) = 1

Probability that the cube will show a three P(C)=\frac{1}{6}

The probability that the coin will show tails, the spinner will land on yellow or green (out of yellow, green, blue), and the cube will show a three is

P=P(T)+P(S)+P(C)

P=\frac{1}{2}+\frac{2}{3}+\frac{1}{6}

P=\frac{3+4+1}{6}

P=\frac{8}{6}

P=\frac{4}{3}

Therefore, The probability that the coin will show tails, the spinner will land on yellow or green (out of yellow, green, blue), and the cube will show a three is \frac{4}{3}

5 0
3 years ago
Can the numbers 24, 32, 42, be the lengths of the three sides of the right triangle? Explain why or why not
Musya8 [376]
No the don't add up to one eighty I'm pretty sure if not tell me
8 0
4 years ago
Other questions:
  • Given the sequence is defined by the explicit definition LaTeX: t_n=2^n-nt n = 2 n − n, find the 5th term of the sequence. (ie L
    9·2 answers
  • Help please!! 10 pts
    5·2 answers
  • How to do zero-product property
    12·1 answer
  • Solve for 15 points!!!!........................................
    11·1 answer
  • Hi can I have help with my work ​
    11·1 answer
  • I need help fast!!!!!!!!!!!
    11·1 answer
  • Burke Middle School has an $80 budget to stock the concession stand with drinks at the spring play. Each drink costs the school
    7·2 answers
  • 24 = 3(n–5)<br><br>What is the answer​
    15·2 answers
  • Centerpieces are normally distributed with mean of 30 ounces and standard deviation of 2 ounces. The weights of the shipping box
    6·1 answer
  • (Evaluating Expressions) If x = 1, y = 3, and z = 2, what is the value of the expression 4xy + 3xz + 7y? *
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!