Please help I keep getting this problem wrong Use trigonomet

Ma ork: Section 6-5 Homework : O of 1 pt HW 66.67% (6 of 9 pts) Use trigonometric identities to so tion m 6cos 20 + 9 sin -9:0 Select the correct choice and fillin any answer boxes in your choice below (Type your ansd in radians. Type an exact answer, using as needed. Use integers or fractions for any numbers in the expression. Use a comma to separate answers as needed) OB. There is no solution. Clear All drawing

Solution

6cos²+ 9 sin - 9 = 0

write cos²=1-sin²

6(1-sin²)+ 9 sin - 9 = 0

3(2(1-sin²)+ 3 sin - 3) = 0

2(1-sin²)+ 3 sin - 3 = 0

2-2sin²+ 3 sin - 3 = 0

2sin²- 3 sin +1=0

2sin²- 2sin -sin +1=0

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

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

sin -1 =0 ,2sin -1=0

sin =1 ,sin =1/2

sin =1 => =/2

sin =1/2 => =/6 ,5/6

=/6 ,/2,5/6