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
Marianna [84]
2 years ago
8

−10sin(x)=−4csc(x)+3

Mathematics
1 answer:
tatiyna2 years ago
7 0

-10 sin(x) = -4 csc(x) + 3

Recall that csc(x) = 1/sin(x) :

-10 sin(x) = -4/sin(x) + 3

Multiply both sides by sin(x) :

-10 sin²(x) = -4 + 3 sin(x)

Move everything to one side:

10 sin²(x) + 3 sin(x) - 4 = 0

Factorize the left side:

(2 sin(x) - 1) (5 sin(x) + 4) = 0

Then we have two cases,

2 sin(x) - 1 = 0   or   5 sin(x) + 4 = 0

Solve for sin(x) :

sin(x) = 1/2   or   sin(x) = -4/5

Solve for x :

• if sin(x) = 1/2, then

x = arcsin(1/2) + 2nπ   or   x = π - arcsin(1/2) + 2nπ

x = π/6 + 2nπ   or   x = 5π/6 + 2nπ

• if sin(x) = -4/5, then

x = arcsin(-4/5) + 2nπ   or   x = π - arcsin(-4/5) + 2nπ

x = -arcsin(4/5) + 2nπ   or   x = π + arcsin(4/5) + 2nπ

(where n is any integer)

You might be interested in
0.32 as a mixed number
torisob [31]

Answer:

Hi! The answer to your question is 0 8/25

Step-by-step explanation:

☆*: .。..。.:*☆☆*: .。..。.:*☆☆*: .。..。.:*☆☆*: .。..。.:*☆

☁Brainliest is greatly appreciated!☁

Hope this helps!!

- Brooklynn Deka

6 0
2 years ago
Jerome is writing a number in scientific notation. The number is greater than one million and less than ten million. What will b
fgiga [73]

One million: 10^6

Ten million:  10^7

So the exponent will be anywhere between 6 and 7, inclusive

8 0
3 years ago
Read 2 more answers
Evaluate the step function for the given input values. g(x) = g(2) = g(–2) = g(5) =
romanna [79]

Answer:

Step-by-step explanation:

g(2) = g(–2) = g(5) is never true for the step function.  One " = " symbol per pair of g values, please.

The step function, which you're calling "g(x)," is 0 from -infinity up to but not including 0.  It's 1 from x just greater than 0 through infinity.

Thus:

g(2) = 1 because x is greater than 0.

g(-2) = 0 because x is less than 0.

g(5) = 1 because x is greater than 0.

4 0
3 years ago
Raquel and Van live in two different cities. As part of a project, they each record the lowest prices for a gallon of gas at gas
jeyben [28]

Answer:

Step-by-step explanation:

Looking at the information given, the average or mean lowest prices and standard deviations for the two cities are given. The standard deviation is a measure of variability. It is used to determine how far the values in the data are from the mean. A lower standard deviation means that the values are closer to the mean. A higher standard deviation means that the values are farther from the mean.

Since 0.07 is lower than 0.23, the correct statement that is true about their gas-price data is

Raquel's data are most likely closer to $3.42 than Van's data are to $3.78.

3 0
2 years ago
Read 2 more answers
Which of the following lists is in order from least<br> to greatest?
Alex

Answer:

B

Step-by-step explanation:

6 0
3 years ago
Other questions:
  • Calculate the average speed (tin km/hr) of charlie who run to the store 4 km away in 30 minutes
    8·1 answer
  • A nut mixture of peanuts and pecans at a small fair is $1.00 per pound of peanuts and $2.85 per pound of pecans. Over the entire
    6·1 answer
  • Write -1/16, 5/3, and -5/6 in order least to greatest
    7·1 answer
  • Multiply.
    14·1 answer
  • A utility pole 10m high is supported by two guy wires. Each guy wire is anchored 3m from the base of the pole. How many meters o
    14·2 answers
  • Find the x in the following triangle <br> I’ll give brainliest
    13·1 answer
  • 7/52 as a mixed number
    8·2 answers
  • Foiuhgfdknsmlaeszxcyfvugbihnoj
    10·1 answer
  • Find the value of y. <br> A. 7<br> B. 8 <br> C. 75 <br> D. 105
    6·1 answer
  • Will give brainliest give the answer and steps
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!