Find all solutions to the equation. 7 sin2x - 14 sin x + 2 = -5

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asked Nov 17, 2016 83.8k views

1 Answer

Sayguh · Answer 1 · 2016-11-23T16:47:32+0000

7sin²x-14sinx+2= -5
7sin²x-14sinx+7=0
7(sin²x-2sinx+1)=0
sin²x-2sinx+1=0
(sinx-1)(sinx-1)=0
sinx-1=0
sinx=1

$x= ( \pi )/(2) +2n \pi$ where n is an integer

Find all solutions to the equation. 7 sin2x - 14 sin x + 2 = -5

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