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
zimovet [89]
2 years ago
5

Help! Given that tanθ=-1, what is the value of secθ, for 3π/2<θ<2π?

Mathematics
1 answer:
user100 [1]2 years ago
5 0

Answer:  Choice B)  \sqrt{2}

Work Shown:

\sec^2(\theta) = \tan^2(\theta) + 1\\\\\sec^2(\theta) = (\tan(\theta))^2 + 1\\\\\sec^2(\theta) = (-1)^2 + 1\\\\\sec^2(\theta) = 2\\\\\sec(\theta) = \sqrt{2}\\\\

Note: secant is positive in quadrant Q4, when theta is between 3pi/2 radians and 2pi radians (270 degrees and 360 degrees). So that's why we don't consider the minus form of the plus minus.

You might be interested in
Mervin has some cartons of milk. He sold 2/5 of milk in the morning. He sold 3/4 of the remainder in the afternoon. 24 more cart
sergejj [24]

2/5 were sold in the morning. This is equal to 40% of the total.  That leaves 60% leftover.

 

3/4 were sold in the afternoon. This is equal to 75% of the 60% leftover or 45% of the total (.6x.75).

 

The difference between the two sales is 24 cartons or 5% (45%-40%). If 5% is equal to 24 then you can cross multiply to see what is the equivalent number of cartons out of 100%.

 

5/100 = 24/x

5x = 24(100)

5x = 2400

x = 480

 

ANSWER: 480 cartons

6 0
3 years ago
Choose the equation that is equivalent to this statement. 9090 is 70% of x.
Zolol [24]
9090 is 70% of 12,985.7143
5 0
3 years ago
Tiana is on a 25-foot ladder that is leaning against her house. Its base is 7 feet from the base of the house. The ladder slips
Lostsunrise [7]

Answer:

4 ft downwards

Step-by-step explanation:

old height off the ground :

7^2+b^2=25^2

49+b^2=625

b^2=576

b=24

new height off the ground :

7+8=15

15^2+ b^2 =25^2

225+b^2 = 625

b^2 = 400

b=20

difference between heights :

24 - 20 =  4

4 0
3 years ago
The sum of three numbers is 79. The sum of five times the first number and two times the
stepan [7]

Answer:

(x+y+z)=79

5x+2y+z=859

2x+3y+9z=498

Step-by-step explanation:

Its writing 3 different equations that have the same value for the same variable.

3 0
3 years ago
Which set(s) of numbers does<br> −<br> 5<br> 4<br> − <br> 4<br> 5<br> ​ <br> belong to?
Helga [31]

Answer:

54-even number

45-Composite number

8 0
3 years ago
Other questions:
  • A bag contains 8 black beads and 4 white beads. If 2 beads are drawn at random, what is the probability that both beads are blac
    14·1 answer
  • The value of a graphing calculator is $225. After 2 years, the value of this calculator is $160. Find the value of the calculato
    10·1 answer
  • A high school football team has 60 players. 42 of the players are seniors. what percentage of the team's players are seniors?
    12·2 answers
  • Bill wants to post three parcels.
    7·1 answer
  • he;p me please i am losing my points please anyone can you help at least one of you please please please! :(
    9·1 answer
  • Which statement is true about angles QRT and
    8·1 answer
  • 3/4+(1/3÷1\6)-(-1/2)=​
    13·1 answer
  • PLEASE HElP WILL GIVE BRAINLIEST
    13·1 answer
  • can somebody please help me with this I have school in 4 minutes and I need to get this done but I don't understand it at all an
    5·1 answer
  • 3 1/3 divided by 1 7/8 in simplest form
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!