84042 Notes O Ask Your Teach Solve the glven equation Enter

8.4.042 Notes O Ask Your Teach Solve the glven equation. (Enter your answers as a comma-separated list. Let k be any integer Round terms to three decimal places where appropriate. If there is no solution, enter No SOLUTION) 2sin2 -sin 1-0 Need Help? Telk to iter Subonit Answer Save Progress the . O -1 points SAigTrig4 74045 My Notes O Ask Your Te Solve the given equation. (Enter your answers as a comma-separated list. Let k be any Integer. Round terms to three decimal places where appropriate. If there no solution, enter NO SOLUTION) 2 cos (6) s cos(0)+2 o Need Help? Redt Waich

Solution

5 .2sin²theta-sin theta-1=0

2sin²theta-2sin theta +sin theta -1=0

2sin theta(sin theta -1)+1(sin theta -1)=0

(2 sin theta +1)(sin theta -1)=0

sin theta=-1/2 , sin theta =1

theta= 2 pi k - pi/6 , 2 pi k + 7pi/6, 2 pi k + pi/2

6 . 2cos²theta -5cos theta+2=0

2cos²theta-4 cos theta -cos theta+2=0

2cos theta(cos theta -2)-1(cos theta-2)=0

(2cos theta -1)(cos theta-2)=0

2cos theta -1=0

cos theta=1/2

theta=2pi k - pi/3, 2 pi k + pi/3