Question

Find all solutions
7 sin^2x-14 sin x+2=-5

Please help!!

Answer 1

so start be equating the equation to zero and then you basically have a quadratic

\[7\sin^2(x) - 14\sin(x) + 7 = 0\]

factor out the 7

\[7(\sin^2(x) - 2\sin(x) + 1) = 0\]

which now looks like a perfect square inside the brackets

hope it helps

Answer 2

Would that be my final answer or can i keep going?

Answer 3

well when you factor you get

\[7(\sin(x) -1)^2 = 0\]

so then you need to find the zero

what makes

sin(x) - 1 = 0