Question

# hi,

i'm working on an assignment and im not 100% sure if i'm doing it correctly. the bolded is my answer. can you tell me if my thought process is correct or if there is another way to do these problems? thanks!

a. One solution to the equation sinθ = √3/2 is θ = π/3.

b. One angle that is coterminal to the angle that you found in part a is θ = 7 π/3.

c. Another solution to the equation sinθ = √3/2 is θ = 2 π/3.

d. One angle that is coterminal to the angle that you found in part c is θ = 8 π/3.

here's a unit circle for reference: https://etc.usf.edu/clipart/43200/43215/unit-circle7_43215_lg.gif

i found part a by looking on a unit circle with radians. i know that sin is y, so i looked for a point on the graph with √3/2 in the y coordinate spot. i found 2: π/3 and 2π/3.

next i converted π/3 to degrees so i could find the coterminal angle for that. i did 60 + 360 and i got 420. i then converted 420 back into radians and got 7π/3. is that correct? and is there another way to do it so i don't have to convert it back and forth?

i did the same steps with parts c and d.

brooklynn parker