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
s2008m [1.1K]
2 years ago
9

Please Help me To solve this Problem

Mathematics
1 answer:
mart [117]2 years ago
3 0

You're given that φ is an angle that terminates in the third quadrant (III). This means that both cos(φ) and sin(φ), and thus sec(φ) and csc(φ), are negative.

Recall the Pythagorean identity,

cos²(φ) + sin²(φ) = 1

Multiply the equation uniformly by 1/cos²(φ),

cos²(φ)/cos²(φ) + sin²(φ)/cos²(φ) = 1/cos²(φ)

1 + tan²(φ) = sec²(φ)

Solve for sec(φ) :

sec(φ) = - √(1 + tan²(φ))

Given that cot(φ) = 1/4, we have tan(φ) = 1/cot(φ) = 1/(1/4) = 4. Then

sec(φ) = - √(1 + 4²) = -√17

You might be interested in
HELP WILL GET BRAINLIEST Select the correct answer.
irina [24]

Answer:

its 0.3

Step-by-step explanation:

i got it wrong bcuz i chose something else but trust me its 0.3

brainliest plz

8 0
2 years ago
Plsss help !!! A - 13/49 = -1
lana [24]
After moving all the terms to the right of the equation and solving you would get A = -36/49. Hope this helps!
5 0
3 years ago
A store is selling 5 cans of tomato sauce for 4.50 what is the unit price
andrew-mc [135]
The unit price is 90 cents per can of tomato sauce.
6 0
2 years ago
Read 2 more answers
two sections of a garden are shaped like and then tickle triangle the base of each triangle is 50 feet and the other two that ar
BaLLatris [955]
A triangle can only equal 180 so you take 180-50 and get 130 then you divide 130 by 2 your answer is 65      X =65
4 0
3 years ago
Fiona’s school has three hallways that make up three sides of a triangular building design. In the morning, Fiona walks 90 yards
lilavasa [31]

Answer:

"between 30 yards and 150 yards"

Step-by-step explanation:

Let one side of a triangle be x and another side be y. To find the possible lengths of the third side, it is given by:

<u><em>Possible length of 3rd side would be between "x - y" and "x + y"</em></u>

<u><em /></u>

Here, given x = 90 and y = 60, so the possible length of 3rd side would be:

90 - 60 = 30,

90 + 60 = 150

Hence, in between 30 and 150

6 0
2 years ago
Read 2 more answers
Other questions:
  • Tell if each number is divisible by 2,3,4,5,6,7,8,9,10 ☝️
    15·1 answer
  • Why do you think rates are usually written as unit rates
    6·1 answer
  • 1. Which situation is best described by the
    7·1 answer
  • Please help me. And please show your work. Thanks
    12·1 answer
  • Is 31/40 more than 3/4
    9·1 answer
  • Solve for y -x - 2y=8
    12·2 answers
  • The Last Mystery Letter
    8·1 answer
  • How do you write 4 and one eighth as a fraction greater then one
    12·1 answer
  • What is the gcf of 84 and 96?
    7·2 answers
  • A manufacturer inspects 500 personal video players and finds that 296 of them have no defects. the manufacturer sent a shipment
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!