SOLUTION: 1) Find all t in the interval [0, 2π] satisfying 2(sin t)2 − 3 sin t + 1 = 0 t= 2) Find all t in the interval [0, 2π] satisfying (cos t)2 − 8 cos t + 7

Algebra ->  Trigonometry-basics -> SOLUTION: 1) Find all t in the interval [0, 2π] satisfying 2(sin t)2 − 3 sin t + 1 = 0 t= 2) Find all t in the interval [0, 2π] satisfying (cos t)2 − 8 cos t + 7       Log On


   

Question 769960: 1) Find all t in the interval [0, 2π] satisfying 2(sin t)2 − 3 sin t + 1 = 0
t=
2) Find all t in the interval [0, 2π] satisfying (cos t)2 − 8 cos t + 7 = 0.
t =
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
Do you mean this: +2%28sin+t%29%5E2+-+3+sin+t+%2B+1+=+0+ ?

Quadratic equation in sin(t).
sin%28t%29=%283%2B-sqrt%289-4%2A2%29%29%2F4
sin%28t%29=%7B3%2B-sqrt%281%29%29%2F4
sin%28t%29=%283%2B-1%29%2F4
sin%28t%29=1%2F2 or sin%28t%29=1

t=pi%2F3 or t=2%2Api%2F3 or t=pi
Through referring to the unit-circle.