Find all solutions to the equation.

7 sin^2x - 14 sin x + 2 = -5
They didn't teach this at all, the lesson was all about verifying and I'm so stuck on what to replace sin^2 and sin with to actually get anywhere

Question

Find all solutions to the equation.

7 sin^2x - 14 sin x + 2 = -5
They didn't teach this at all, the lesson was all about verifying and I'm so stuck on what to replace sin^2 and sin with to actually get anywhere

gorv · Answer

7sin^2x-14sinx+7=0
sin^2x-2sinx+1=0
(sinx-1)^2=0
sinx-1=0
sinx=1....x=pi/2
x=multiples of pi/2

gorv · Answer

@heretolearnstuff

anonymous · Answer

Thanks! I actually figured it out (I'm used to not getting responses) But thank you for taking the time to respond @gorv I appreciate it :)

gorv · Answer

always welcome buddy @heretolearnstuff