Solve for x 10 cos2 X 3 sin x 9 0Solutionwe are given wit

Solve for x. -10 cos^2 X - 3 sin x + 9 = 0

Solution

we are given with

-10cos²x - 3Sinx +9=0

as, Sin²x +Cos²x =1 or, Cos²x=1-Sin²xputting in equation we get

-10(1-Sin²x) -3Sinx +9=0

or

10Sin²x -3 Sinx -1=0

or

10Sin²x-5 Sinx +2 Sinx -1 =0

5Sinx(2Sinx-1) +1 (2Sinx -1)=0

(2Sinx-1)(5Sinx+1)=0

this gives us

Sinx=1/2 so, x =30^o

Sinx = -1/5 so , x=192^o