SOLUTION: Use the unit circle to find all values of θ between 0 and 2π for which the given statement is true. (Enter your answers as a comma-separated list.) sin θ = 1/2 &

Algebra.Com
Question 1074713: Use the unit circle to find all values of θ between 0 and 2π for which the given statement is true. (Enter your answers as a comma-separated list.)
sin θ = 1/2
θ = rad
Found 3 solutions by Alan3354, KMST, MathTherapy:
Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
did you look at the unit circle?
Answer by KMST(5328)   (Show Source): You can put this solution on YOUR website!
Here is the unit circle with an inscribed regular hexagon divided into 6 equal "pizza slices" (at least for American pizza pies).

Each "slice" is an equilateral triangle, with 3 congruent angles,
each measuring (since they add to half a turn = radians),
and 3 congruent sides, each with length .
Two of those equilateral triangle are split into 2 congruent right triangles,
so the height of those triangles is ,
and the angles marked with small arcs have .
Those angles measure ,
but since angles are measured counterclockwise from the positive x-axis,
the angle marked with the red arc is .
Answer by MathTherapy(10555)   (Show Source): You can put this solution on YOUR website!

Use the unit circle to find all values of θ between 0 and 2π for which the given statement is true. (Enter your answers as a comma-separated list.)
sin θ = 1/2
θ = rad
Find a unit circle and look it up! 

One angle is in the 1st quadrant, and the other is in the 2nd quadrant. 

RELATED QUESTIONS


What are the values of θ, 0 ≤ θ < 2π, for which tan θ =... (answered by estron7)

Given that	tan θ  − cot θ  = 2,

	find the possible values of tan... (answered by ikleyn)

For the given value of α, find an angle θ different to α with 0 ≤... (answered by greenestamps,Theo)

Please help !

An equation is given. (Enter your answers as a comma-separated list.... (answered by stanbon)

If you sketch a unit circle with angle θ in standard position:
For what values of... (answered by Fombitz)

FInd the values of θ  between 0° and 180° for which 
a) secθ= cosecθ
b)... (answered by Theo)

Find all solutions in the interval [0, 2π). (Enter your answers as a comma-separated  (answered by ikleyn)

Find all solutions to the equation.
=−2cosθ√3=0
Write your answer in... (answered by Alan3354,ikleyn)

Use the information given about the angle θ, 0 ≤ θ ≤ 2π, to... (answered by lwsshak3)