Find general solutions or solution as per given condition:`sqrt2sectheta+tantheta=1`

Find general solutions or solution as per given condition: costheta+sqrt3sintheta=sqrt2

Find general solutions or solution as per given condition: cos2theta+sin2theta=costheta+sintheta

Find general solutions or solution as per given condition: tan5theta=cot2theta

Find general solutions or solution as per given condition: sin^2theta-costheta=1/4 , 0lethetale2pi

Find general solutions or solution as per given condition: 4costheta+3sintheta=5

Find general solutions or solution as per given condition: tanx- cotx= 2

Find general solutions or solution as per given condition: 2cos^2theta + 3costheta-2= 0

Find general solutions or solution as per given condition: 3costheta+4sintheta=4 ,given that cos53^@8'=0.6

Find general solutions or solution as per given condition: (1-tantheta)(1+sin2theta)=1+tantheta

Find general solutions or solution as per given condition: tan^2theta=3cosec^2theta-1