Question

Find all solutions to the equation.

sin x = sqrt(3)/2

Answer 1

x = pi/3 + k(2)pi AND x = 2pi/3+ k(2)pi

also written as

x = 60 + k360 AND x = 120 + k360

because "y", which is sin x, is positive in both quadrant I AND II

Answer 2

The "+" within each of the answers comes from the cyclic nature of the trig functions. "k" is any integer and represents the number of times "around the circle".

Answer 3

So would the answer be the first one (pictured in the attachment)

Answer 4

Actually, it's the 3rd one. The key is to look for the pi/3 and the 2pi/3.

Answer 5

ahh. I see what you mean now. Thanks.

Answer 6

You're getting this!