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
ExtremeBDS [4]
3 years ago
9

If sin theta = sqrt(2/2), which could not be the value of theta?

Mathematics
2 answers:
Nataliya [291]3 years ago
4 0

The solution would be like this for this specific problem:

sin(θ°) = √(2)/2 

θ° = 360°n + sin⁻¹(√(2)/2) and θ° = 360°n + 180° − sin⁻¹(√(2)/2)
θ° = 360°n + 45° and θ° = 360°n + 135° where n∈ℤ 

360°*0 + 45° = 45° 
360°*0 + 135° = 135° 
360°*1 + 45° = 405° 

<span>sin(225°) = -√(2)/2

</span>225 has an angle where sin theta= -(sqrt2)/2 therefore, the value of theta cannot be 225 degrees.

jekas [21]3 years ago
3 0

Answer:

225° is not possible

Step-by-step explanation:

Given that

\sin \theta=\frac{\sqrt{2}}{2}

we have to choose the option which could not be the value of theta.

\sin \theta=\frac{\sqrt{2}}{2}

\sin \theta=\frac{1}{\sqrt2}=\sin45^{\circ}

\theta=45^{\circ}

As sine is positive in second and fourth quadrant.

⇒ \sin 45=\sin(180-45)=\sin135

Also, \sin 45=\sin(360+45)=\sin405

\text{Hence, the value of }\theta \text{which are possible are } 45^{\circ}, 135^{\circ}, 405^{\circ}

Therefore 225° is not possible

You might be interested in
Root 8 + 3 root 32 - root 50
lisov135 [29]
\sqrt{8} + 3 \sqrt{32} - \sqrt{50}

= \sqrt{4 \times 2} + 3 \sqrt{16 \times 2} - \sqrt{25 \times 2}

= 2\sqrt{ 2} + 12 \sqrt{2} - 5\sqrt{  2}

= 9\sqrt{ 2}
6 0
3 years ago
Tell me something you have wanted to say but never told anyone.
Stells [14]
I’m not that smart i just get answers off the internet
6 0
2 years ago
This is 4/8 questions im giving brainliest for pls help me :D
3241004551 [841]
I don't really know but I think that it's B
6 0
3 years ago
I don’t understand what this means
Colt1911 [192]

Answer:

This means that if you have that amount of those and you do whatever the rest of the question is.

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
I'm really having trouble simplifying trigonometric expressions, I understand the identities, but sometimes I get stuck, and rea
Karolina [17]
\bf \cfrac{sin(t)+tan(t)}{tan(t)}\impliedby \textit{distributing the denominator}&#10;\\\\\\&#10;\cfrac{sin(t)}{tan(t)}+\cfrac{tan(t)}{tan(t)}\implies \cfrac{sin(t)}{\frac{sin(t)}{cos(t)}}+1\implies &#10;\cfrac{\frac{sin(t)}{1}}{\frac{sin(t)}{cos(t)}}+1&#10;\\\\\\&#10;\cfrac{sin(t)}{1}\cdot \cfrac{cos(t)}{sin(t)}+1\implies cos(t)+1
8 0
3 years ago
Other questions:
  • (2x +0.5y = 3<br>(x + 2y = 8.5​
    7·1 answer
  • Which statement is true about ∠JXM and ∠NXP? a.∠JXM and ∠NXP are complementary. b.∠JXM and ∠NXP are vertical. c.∠JXM and ∠NXP ar
    5·2 answers
  • Solve the problem.
    14·2 answers
  • If f(x)= 6x-4, what is f(x) when x=8
    10·2 answers
  • Mike took a taxi from his home to the airport. The taxi driver charged an initial fee of $6 plus $3 per mile. The total fare was
    10·1 answer
  • (-8/11) (-3/4) = ?<br> find ? not really answer WILL BE REPORT and you WILL LOSE YOU ACCOUNT
    9·2 answers
  • Solve: simultaneous equations <br> 3x + 4y = 27<br> x + 4y = 17
    11·1 answer
  • If a spinach pie is cut into 10 equal pieces, then what is one piece
    6·1 answer
  • Which relation is a function of x? ​
    14·1 answer
  • Find the surface area of the composite figure. Worth 25 points!!!!<br> please answer correctly!!!
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!