Solve the given equation Enter your answers as a commasepara

Solve the given equation. (Enter your answers as a comma-separated list. Let k be any Integer. Round terms to three decimal places solution, enter NO SOLUTION.) 6 cos(theta) sin(theta) + 5 cot(theta) = 0 theta = pi/2 + 2k pi, - 0.985 + 2k pi, 10.410 + 2k pi

Solution

6cossin +5cos =0

cos(6sin +5)=0

cos=0 ,sin =-5_/6

cos=0

=>=k -(_/2)

=>=3.142k -1.571

sin =-5_/6

=> =2k -sin^-1(5_/6) , =2k + +sin^-1(5_/6)

=> =6.283k -0.985 , =6.283k +4.123