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
Goshia [24]
3 years ago
6

Find csc x if sin x + cot x cos x =√3.

Mathematics
1 answer:
Oksi-84 [34.3K]3 years ago
7 0

Answer:

The answer is (d) ⇒ cscx = √3

Step-by-step explanation:

∵ sinx + (cotx)(cosx) = √3

∵ sinx + (cosx/sinx)(cosx) = √3

∴ sinx + cos²x/sinx = √3

∵ cos²x = 1 - sin²x

∴ sinx + (1 - sin²x)/sinx = √3 ⇒ make L.C.M

∴ (sin²x + 1 - sin²x)/sinx = √3

∴ 1/sinx = √3

∵ 1/sinx = cscx

∴ cscx = √3

You might be interested in
Sam is flying from Columbus, Ohio to Kralendijk, Bonaire, a distance of 2,488 miles. First, he flies 995 miles to Miami, Florida
kogti [31]

Answer:

460 miles

Step-by-step explanation:

Given

Total = 2488 miles

Miami = 995 miles

San Juan = 1033 miles

Required

Determine the remaining distance

Assuming the points are on a straight path.

The remaining distance is:

Remainder = Total - Miami - San Juan

Remainder = 2488 - 995 - 1033

Remainder = 460 miles

4 0
3 years ago
Jack is in a helicopter and looking down at two friends’ homes. The angle of depression to the first home is 72°. The angle of d
alexandr402 [8]

The distance between the helicopter and the first home is 369. 87 m

<h3>How to solve the distance using the angle of depression?</h3>

The distance between the helicopter and the first home can be found using sine law,

Hence,

180 - 72 - 49 = 59 degrees.

Therefore,

420 / sin 59 = A / sin 49°

where

  • A  = distance form the first home to the helicopter.

cross multiply

420 sin 49 = A sin 59°

A = 420 sin 49 / sin 59

A = 316.978023694 / 0.8571673007

A = 369.869339199

A = 369. 87 m

Therefore, the distance between the helicopter and the first home is 369. 87 m

learn more on angle of depression here: brainly.com/question/1976859

#SPJ1

5 0
2 years ago
If (x,y) is a solution to the system of equations shown below, what is the product of the y-coordinates of the solutions? x^2+4y
aliina [53]

Answer:

The product of the y-coordinates of the solutions is equal to 3

Step-by-step explanation:

we have

x^{2}+4y^{2}=40 -----> equation A

x+2y=8 ------> equation B

Solve by graphing

Remember that the solutions of the system of equations are the intersection point both graphs

using a graphing tool

The solutions are the points (2,3) and (6,1)

see the attached figure

The y-coordinates of the solutions are 3 and 1

therefore

The product of the y-coordinates of the solutions is equal to

(3)(1)=3

4 0
3 years ago
In exponential growth functions, the base of the exponent must be greater than 1. How would the function change if the base of t
alexandr402 [8]

Answer:

How would the function change if the base of the exponent were between 0 and 1? If the base of the exponent were 1, the function would remain constant. The graph would be a horizontal line. If the base of the exponent were less than 1, but greater than 0, the function would be decreasing.

Step-by-step explanation:

7 0
3 years ago
Five-sixths of a number is 45.<br> Find the number.
tia_tia [17]

Answer: The number is 54!!!

Hope it helps!!!



Step-by-step explanation:

Let's call the number x.

So, 5/6 (of or multiplication) = 45

5x = 45* 6

x = 270/5

x = 54

4 0
3 years ago
Read 2 more answers
Other questions:
  • Geometry help please
    12·1 answer
  • What is the sin of 100
    7·2 answers
  • Can two fractions with the same numerator and different denominators can be equal.
    13·1 answer
  • The average American generates 4.4 lbs of trash every day. We circulated fliers that listed tips on how to reduce wastefulness i
    6·1 answer
  • Last Wednesday, students could choose ham or turkey sandwiches for lunch. The cafeteria made 500 sandwiches in all, 270 of which
    12·1 answer
  • The rate of change for a quadratic function is
    6·1 answer
  • The function g(t) = -16t2 + vt + h represents the height of an object, g, in
    8·1 answer
  • *
    10·1 answer
  • Yani buys 4 dozen flyers for $7.25. What is the cost for 12 dozen
    12·1 answer
  • What is the length of the missing side of the triangle?
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!