Question

solve the following equation for x between 0 and 2pi
15 sin^2x+14 sinx -1=0

Answer 1

factorise the quadratic

(sin(x) +1)(15sin(x) -1) = 0

then sin(x) = -1 or 1/15

so sin(x) = 1/15 will have values in 1st and 2nd quadrants

sin(x) = -1 is 270 degrees of 3pi/2

I'll let you figure out sin(x) = 1/15

Answer 2

it's 0.0667

Answer 3

but i have three answers 0.0667 , 3.0749 , 4.7124

Answer 4

thats radians... and only the 1st quadrant answer, you still need to find the 2nd quadrant answer because of the domain you stated