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
Brums [2.3K]
3 years ago
8

How would you solve the following trig equation sin(x)=-0.5 by isolating the x?

Mathematics
2 answers:
IrinaVladis [17]3 years ago
5 0

To get x by itself in a trig equation like this, you use the inverse sine. It's written on your calculator as sin⁻¹ and often in books as arcsin to differentiate it from the negative exponent. Taking the sine and inverse sin of any angle brings you back to the original angle.

sin (x) = -0.5

arcsin (sin(x)) = arcsin (-0.5)

x = arcsin (-0.5)

Since you are asking "what angle has its sine as -1/2?" this problem can be answered with a 30- 60 - 90 triangle or with a calculator. In degree mode, you would this be -30 degrees, or 330 degrees and 210 degrees, as the sine function is negative in quadrants III and IV.

Vitek1552 [10]3 years ago
3 0

Make use of the inverse sine function. Take the inverse sine of both sides of the equation. Of course, within the appropriate limits, the inverse sine of the sine function is the original argument, as is the case with any inverse function: f⁻¹(f(x)) = x.

... sin⁻¹(sin(x)) = sin⁻¹(-0.5)

... x = sin⁻¹(-0.5)

... x = -30°

_____

You need to be careful with inverses of trig functions, because they are only defined over a limited domain and range. The range of the inverse sine function is -90° to 90°, so, for example, sin⁻¹(sin(150°)) = sin⁻¹(0.5) = 30°.

You might be interested in
What is a political machine
aleksandrvk [35]

A political machine is a political group in which an authoritative boss or small group commands the support of a corps of supporters and businesses (usually campaign workers), who receive rewards for their efforts. ... The term may have a pejorative sense referring to corrupt political machines.

8 0
3 years ago
Read 2 more answers
I need help. Give an explanation, please!
AURORKA [14]

Answer:

y=35+x+15x/100. since x is the money earn so 15percent of x

3 0
3 years ago
Read 2 more answers
A field tet for a new exam was given to randomly selected seniors. The exams were graded, and the sample mean and sample standar
Ksenya-84 [330]

Answer: Need to clarify more about the question, I dont understand. Sorry ;//

Step-by-step explanation:

3 0
3 years ago
Scott collects hats. He has 65 hats an plans on buying 80 per year.
kicyunya [14]

Answer:

80x+65 2.465 3.865

Step-by-step explanation:

x being the number of years so in ten years he will have 80x10=800+65=865

80x5=400+65=465 so 5 is the number of years it would take

and i do not understand number 1 but i put a formula just in case that was it

7 0
3 years ago
What solid 3D object is produced by rotating the rectangle about line m?
Sonbull [250]

Answer:

b) a cylinder with diameter of 4

Step-by-step explanation:

the square is being rotated about the line m, the sides of the rectangle being cut by the line, have a total length of 4which would be the diameter of the cylinder

6 0
3 years ago
Read 2 more answers
Other questions:
  • Jake walks a mile to work. If Jake has already walked two-fifths of a mile, how many more feet must he walk to get to work?
    12·1 answer
  • If 60 newspapers cost $27, find the cost of 16
    8·1 answer
  • Need help + Fast! I suck at math
    15·1 answer
  • Give the solution set for the inequality<br> 7x &lt; 7(x - 2) in interval notation.
    11·1 answer
  • Please hurry
    10·2 answers
  • Round 56,291.8 to the nearest thousand.
    10·2 answers
  • In a city, the bus route numbers consist of a positive number less than 100, followed by one of the letters a,b,c,d,e and f. how
    5·1 answer
  • Help plzz! True or False? <br> -15 is a solution for -8x = 125
    6·2 answers
  • Which graph represents y as a function of x?
    5·1 answer
  • What is the best approximation of the solution to the equation a(x) = b(x) ? <br> Image attached
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!