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
nordsb [41]
2 years ago
14

Which of the following is not equal to sin⁡(-230°)?

Mathematics
2 answers:
erik [133]2 years ago
8 0
The answer is probably sin(50)
xenn [34]2 years ago
3 0

From trigonometry we know that:

if sin(\theta)=sin(\alpha)

then, \theta=n\pi+(-1)^n\alpha (where n is an integer)

This can be rewritten in degrees as:

\theta=n(180^{\circ})+(-1)^n\alpha.............(Equation 1)

Now, in our case, \alpha=-230^{\circ}

Therefore, (Equation 1) can be written as:

\theta=n(180^{\circ})+(-1)^n(-230^{\circ})..........(Equation 2)

Now, to find the correct options all that we have to do is replace n by relevant integers and find the values of \theta that match.

For n=2, (Equation 2) gives us: \theta=2\times 180^{\circ}+(-1)^2(-230^{\circ})=360^{\circ}-230^{\circ}=130^{\circ}.

Thus, sin(230^{\circ})=sin(130^{\circ})

Now, we know that: -sin(-50^{\circ})=sin(50^{\circ})

Let n=-1, then:

\theta=(-1)\times 180^{\circ}+(-1)^{-1}(-230^{\circ})=-180^{\circ}+230^{\circ}=50^{\circ}

Thus, sin(-230^{\circ})=-sin(-50^{\circ})

Likewise, sin(-230^{\circ})=sin(50^{\circ})

Only the last option sin(-50^{\circ}) will never match sin(-230^{\circ}) because no integral value of n will ever give \theta=-50^{\circ}

Thus the last option is the correct option.

You might be interested in
Let event Aequalssubject is telling the truth and event Bequalspolygraph test indicates that the subject is lying. Use your own
wariber [46]

Answer:

P( B | A) will actually be the probability of the polygraph test being wrong.

Step-by-step explanation:

The event A represents the event that the subject is telling the truth.

The event B represents  the event when he fails the polygraph test, which is indicative of the fact that he is lying.

The notation P( B | A) describes the probability that the subject fails the polygraph test given that he is actually telling the truth.

So in retrospect P( B | A) will actually be the probability of the polygraph test being wrong.

5 0
2 years ago
Drag the tiles to the boxes to form correct pairs.
snow_lady [41]

Answer:

The answer is -23

Step-by-step explanation:

4 0
2 years ago
A hotel patron starts at the fifth floor and goes up seven floors to meet a friend. How many levels, and in which direction, mus
Sonbull [250]

Answer:

they must go 12 floors downwards because parking A has to be on the last floor

7 0
3 years ago
Aditi bought 20 apples at Rs 25 each and sold them at Rs 32 each. What is her total profit?​
Lelechka [254]

Answer: 140

Step-by-step explanation: 25x20=500

32x20=640

640-500= 140!!

4 0
1 year ago
Two fractions one positive one negative whose product is 5/8
Ray Of Light [21]

-10/8 and + 15/8. Those should work.

3 0
3 years ago
Other questions:
  • Describe a situation for these graphs
    6·1 answer
  • If (5x^4)(2x^6)=ax^b, what is the value of a-b?
    9·2 answers
  • The basic measure of mass in the metric system is called
    15·2 answers
  • Write an expression that represents the product of q and 8,divided by 4​
    5·2 answers
  • Given the literal equation 2003-05-04-00-00_files/i0290000.jpg, with y = 4x + 2, what is the value of z if x = 1?
    13·1 answer
  • Simplify 3x+5y-x+2y please
    9·1 answer
  • Three more than twice a number is 15 in algebraic equation
    9·1 answer
  • Which of the following best describes the graph below?
    8·1 answer
  • What's the answer to the question?
    15·1 answer
  • Can someone answer please
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!