A community for students.
Here's the question you clicked on:
 0 viewing
anonymous
 5 years ago
Solve the given equation and indicate the number of values of θ sach that 0≤θ<2π ,that satisfy the iquation;
Sina=½ 3^½
anonymous
 5 years ago
Solve the given equation and indicate the number of values of θ sach that 0≤θ<2π ,that satisfy the iquation; Sina=½ 3^½

This Question is Closed

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0Is the equation: sin(a) = sqrt(3)/2 ? There are 2 angles that have a positive (sin) of sqrt(3)/2 in the unit circle. To solve the equation: we use the (sin inverse) functions; they take a number and spit back an angle. sin(a) = sqrt(3)/2 sin1(sin(a)) = sin1(sqrt(3)/2) a = sin1(sqrt(3)/2) a = pi/3 Now the issue here is that sin1 only gives you an angle between (pi/2) and (pi/2) so you have to revert back to the original question to ALL the angles. 60 degrees (pi/3) and, 120 degrees (2pi/3) Does that make sense?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Equation is sina=plus,minus 1/2 sqrt(3)?

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0If it is sin(a) = + sqrt(3)/2 then there are 4 angles that we can use; and they all have a reference angle of (60 degrees). In quadrant 1 we have (pi/3) which is 60 degrees In quadrant 2 we have (2pi/3) which is 120 degrees In quadrant 3 we have (4pi/3) which is 240 degrees In quadrant 4 we have (5pi/3) which is 320 degrees
Ask your own question
Sign UpFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.