Solve 12 cos t sint 11 0 for all solutions 0 t 2T Preview Gi

Solve 12 cos (t) sin(t) -11 0 for all solutions 0 t 2T Preview Give your answers accurate to 2 decimal places, as a list separated by commas

Solution

12cos²t-sint-11=0

12-12sin²t-sin t-11=0

12sin²t+sin t -1=0

12sin²t+4sin t - 3 sin t -1=0

4sin t(3sin t+1)-1(3 sin t+1)=0

(4sint -1)(3sin t+1)=0

sin t=1/4 , -1/3

t=0.253,2.889,3.481,5.943