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
mart [117]
3 years ago
4

Angle A is in standard position and terminates in quadrant IV. If sec(A) = 4 3 , complete the steps to find cot(A). Use the iden

tity ____ (choices are sin^2(A) + cos^2(A) = 1, tan^2(A) + 1 = sec^2(A), 1 + cot^2(A) = csc^2(A) ) to find the value of __(A).
Mathematics
1 answer:
Ugo [173]3 years ago
5 0

Answer:

tan²A +1 = sec²A; cotA = -(3√7/7); A = 311.41°

Step-by-step explanation:

secA = 4/3

sec²A = 16/9  

Use the identity tan²A +1 = sec²A

tan²A = sec²A - 1 = 16/9 - 1 = 7/9

cot²A = 1/tan²A = 9/7

We are in the fourth quadrant, so the cotangent is negative.

cotA = -√(9/7) = -3/√7 = -(3√7/7)

tan A = 1/cotA = -√7/3

A = -48.59° = 311.41°

You might be interested in
Which equation is correct for the perpendicular bisector of the line segment whose endpoints are (−1,1) and (7,−5)?
kherson [118]
Slope = (-5-1)/(7+1) = -6/8 = -3/4
Perpendicular slope = 4/3

Midpoint = ((-1+7)/2 , (1+(-5))/2) = (3, 3)

equation:
y = mx + c
y = 4/3 x + c

at point (3, 3)
3 = 4/3(3) + c
c = 3 - 4 = -1

y = 4/3 x - 1 or 3y = 4x - 3

6 0
3 years ago
The ratio of Maths and science books in a school library is 4:5. If the number of science books is 75, find the number of Maths
sveticcg [70]

Answer:

let ratio 4:5 be 4x& 5x

according to the question

5x=75

x=75/5=15

the number of Maths books=4x=4×5=20 is your answer

8 0
3 years ago
Rule y=2x<br> complete the table<br> x|y<br> -----<br> 9| ?<br> ? |10<br> 1 | ?
lora16 [44]
Answer:
x | y
9 | 18
5 | 10
1 | 2

to get this, just substitute the numbers in for the given variables
7 0
3 years ago
What should be done so that the expression will have a value of 10?<br><br> 12 - 2 + 2 2 ÷ 8
Liula [17]
Answer: 10
use (PEMDAS)
P parentheses ()
E exponents
M multiplication • , () , x
D division
A addition +
S subtraction -
Explanation:
There are no parentheses.
There are exponents.
The multiplication is the exponents.
There is division.
There is addition and subtraction.
-how to solve-
First, do 2 to the second power and get 4.
Next, do 12-2+4 divided by 8.
Next do multiplication: there’s no more.
Next do division: you can’t do 4 divided by 8 so instead, do 12-2 = 10 plus 8.
Hope this helps!
3 0
3 years ago
WILL GIVE BRAINLIEST AND A LOT OF POINTS PLEASE HELP!!!
marin [14]

Answer:

D E B C A ⇒ 2nd answer

Step-by-step explanation:

* Lets revise the steps of bisecting a line segment

1. Place the compass at one end of line segment.

2. Open the compass to slightly longer than half the line

    segment length.

3. Draw an arc above and under the line segment

4. Keeping the same compass width, draw an arc above and under

   the line segment from other end of line.

5. Each two arcs intersected at a point over the line and another

   point under the line.

6. Use the ruler to join these point by a line which is the bisector of

   the line segment

* Now lets arrange the steps step

1. Place the compass, and open it wider than half the distance of

   the segment ⇒ D

2. Swing an arc above and below the segment ⇒ E

3. Keeping the compass the same width, Place the compass at

   point B and swing an arc above and below the segment ⇒ B

4. Place points C and D on the intersection of the arcs created

   above and below segment AB ⇒ C

5. Draw a line from point C to point D ⇒ A

∴ The arrange of the statements is ⇒ D E B C A

8 0
3 years ago
Other questions:
  • I dare u to get this right<br><br><br> my sister needs help
    13·2 answers
  • Create a 2-Way Frequency Table. Remember to label the 2 categories, as well as provide data values for each cell.
    13·1 answer
  • Round your answer to three decimal places. A car is traveling at 79 km/h due south at a point 4 5 kilometer north of an intersec
    13·1 answer
  • Find the total surface area of the triangular pyramid. Each of the faces (sides) has an area of 50.5 square inches.
    13·1 answer
  • What is the area of the trapezoid?<br><br> A. 30 m2<br> B. 34 m2<br> C. 44 m2<br> D. 52 m2
    13·1 answer
  • A circle has a circumference of 50.24 units. What is the radius of the circle?
    8·2 answers
  • 1. A ship leaves the harbor and travels 12 miles east and then turns and travels 30 miles north. How far is the ship form the ha
    11·1 answer
  • Which beasbs sababwbs
    5·1 answer
  • (2a + 3)^2<br><br> – (2a – 3)^2<br><br>.​
    6·1 answer
  • How many t-shirts did the company purchase if their total cost was $100? Explain how you found your answer.
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!