Solve the given equation cos2theta 11sintheta 5 Solutionco

Solve the given equation cos(2theta) = 11sin(theta) - 5

Solution

coa(2)=11sin() -5

we know cos2=1-2sin²()

1-2sin²()=11sin() -5

2sin²() +11sin() -6=0

2sin²() +12sin()-sin() -6=0

2sin()[sin() +6]-1[sin() +6]=0

[sin() +6]*[2sin() -1]=0

sin()=-6 ,sin()=1/2

sin()=-6 no solution

sin()=1/2 =>()=2n +(/6),2n +(5/6)) where n is an integer