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
Dmitry_Shevchenko [17]
2 years ago
12

Solve 2csc^2x-2cscx-1=0 for 0° ≤ x ≤ 360°

Mathematics
1 answer:
umka21 [38]2 years ago
6 0

Answer:

Step-by-step explanation:

2 csc²x-2 csc x-1=0

or

\frac{2}{sin^2x} -\frac{2}{sin x} -1=0\\multiply~by~sin^2x\\2-2sin~x-sin^2x=0\\sin^2x+2sinx-2=0\\sin ~x=\frac{-2 \pm\sqrt{2^2-4*1*(-2)} }{2*1} \\=\frac{-2 \pm\sqrt{4+8} }{2} \\=\frac{-2 \pm\sqrt{4*3} }{2} \\=\frac{-2 \pm2\sqrt{3} }{2} \\=-1\pm\sqrt{3} \\|sin~x| \le ~1\\so~sin~x=-1+\sqrt{3} \\sin~x=\sqrt{3} -1\\x=sin^{-1}(\sqrt{3} -1) \approx 47.06^\circ,180-47.06\\or~x=47.06^\circ,132.94^\circ

You might be interested in
Solve BCD Round the answer to the nearest hundredth
lesya [120]

Answer:

A

Step-by-step explanation:

The measure of angle D can be found using the Interior Angle Sum of a Triangle.

The angles of a triangle add to 180. This means:

90 + 21 + x = 180.

111 + x = 180

x = 69

The solution is A.

Angle B is smaller than Angle D which means CD will be smaller than BC.

7 0
3 years ago
A candle maker has 4 1/2 pounds of clear wax. He wants to cut the wax into pieces that are 2/3 pound each. How many 2/3 pound pi
prisoha [69]

Answer:

a)  10  pieces of  2/3 pound  can be made.

b) 0.54 pounds of wax is left over.

Step-by-step explanation:

Total amount of clear wax available =  4\frac{1}{2}  = \frac{9}{2} pounds

So, the maker has in total 4.5 pounds of wax

Now, The weight of each piece = \frac{2}{3}  = 0.66  pounds

To find the number of pieces that can be made out of 4.5 pounds of wax,

let that number = n

So, n = \frac{\textrm{Total weight of the clear wax}}{\textrm{Weight of each wax}}

or, n = n = \frac{4.5}{0.66}  = 6.81

So, nearly 6 pieces can be made completely out of the clear wax

Left over amount of wax  = Total weight -  Weights of the pieces made

                                            =  4.5- 6(0.66)

                                            = 0.54 pounds

Hence, 0.54 pounds of wax is left over

8 0
3 years ago
Pls help I will give Brainiest sorry if I spellt it wrong
devlian [24]

Answer:

oil and sugar

Step-by-step explanation:

5 0
2 years ago
If two rays are opposite rays, then they have a common endpoint.​
Ilia_Sergeevich [38]

The statement is true.

3 0
3 years ago
Shelly is 3 years older than Michele. Four years ago the sum of their age was 67. Find the age of each person.
lawyer [7]

total of ages now is 67 + 4 + 4 = 75

S=shelly

M= Michelle

Michelle is 3 yrs younger than Shelly so use S-3

S +M = 75

replace M with S-3 to get:

S +S-3=75

2S=78

s=39

So shelly is 39

Michelle is 3 years younger = 39-3 = 36


4 0
3 years ago
Read 2 more answers
Other questions:
  • Is −11 a solution of 2x + 3 = −19?
    10·2 answers
  • Great amounts of electromagnetic energy from our sun travels through space. Which is the best answer about electromagnetic waves
    13·1 answer
  • The lengths of the legs of a right triangle are 7 in. and 2 in.
    8·1 answer
  • How much minutes is 11:24 minus 10:45
    8·1 answer
  • A parachutist descends 52 feet in 4 seconds. Express the rate of the parachutists change in height as a unit rate.
    15·1 answer
  • Which is the better deal:
    10·1 answer
  • Multiply the sum 5 and 3 and the sum of 8 and 9
    10·2 answers
  • PLEASE HELP ME FIND THE y ASAP THANK YOUUU​
    9·1 answer
  • What is the nth term for the quadratic sequence 4,9,16,25,36
    8·1 answer
  • Suppose you are looking to purchase a new TV. You are placing it in an opening that is 136 cm wide but want to leave at least 2
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!