https://tex.z-dn.net/?f=sin2x%2B5%5C%2C%20(sinx%2Bcosx)%3D-1%5C%5C%5C%5Ct%3Dsinx%2Bcosx%5C%20%5C%20%5C%20%5Cto%20%5C%20%5C%20t%5E2%3D(sinx%2Bcosx)%5E2%3Dsin%5E2x%2Bcos%5E2x%2B2sinx%5Ccdot%20cosx%3D%5C%5C%7B%7D%5Cqquad%20%5Cqquad%20%5Cqquad%20%5Cqquad%20%5Cqquad%20%5C%20%5Cquad%20%3D1%2Bsin2x%5C%20%5C%20%2C%5C%20%5C%20%5C%20sin2x%3Dt%5E2-1%5C%20%5C%20%2C%5C%5C%5C%5Ct%5E2-1%2B5t%3D-1%5C%20%5C%20%2C%5C%20%5C%20%5C%20t%5E2%2B5t%3D0%5C%20%5C%20%2C%5C%20%5C%20t%5C%2C%20(t%2B5)%3D0%5C%20%5C%20%2C%5C%20%5C%20t_1%3D0%5C%20%2C%5C%20t_2%3D-5%5C%20%2C%5C%5C%5C%5Ca)%5C%20%5C%20sinx%2Bcosx%3D0%5C%20%5CBig%7C%3Acosx%5Cne%200%5C%5C%5C%5Ctgx%2B1%3D0%5C%20%5C%20%2C%5C%20%5C%20tgx%3D-1%5C%20%5C%20%2C%5C%20%5C%20x%3D-%5Cdfrac%7B%5Cpi%7D%7B4%7D%2B%5Cpi%20n%5C%20%2C%5C%20n%5Cin%20Z%5C%5C%5C%5Cb)%5C%20%5C%20sinx%2Bcosx%3D-5%5C%20%5C%20%5C%20%5Cto%20%5C%20%5C%20%5C%20x%5Cin%20%5Cvarnothing%20%5C%20%2C%5C%20%5C%20tak%5C%20kak%5C%20%5C%20%7Csinx%7C%5Cleq%201%5C%20%2C%5C%20%7Ccosx%7C%5Cleq%201
https://tex.z-dn.net/?f=sin2x%2B5%5C%2C%20(sinx%2Bcosx)%3D-1%5C%5C%5C%5Ct%3Dsinx%2Bcosx%5C%20%5C%20%5C%20%5Cto%20%5C%20%5C%20t%5E2%3D(sinx%2Bcosx)%5E2%3Dsin%5E2x%2Bcos%5E2x%2B2sinx%5Ccdot%20cosx%3D%5C%5C%7B%7D%5Cqquad%20%5Cqquad%20%5Cqquad%20%5Cqquad%20%5Cqquad%20%5C%20%5Cquad%20%3D1%2Bsin2x%5C%20%5C%20%2C%5C%20%5C%20%5C%20sin2x%3Dt%5E2-1%5C%20%5C%20%2C%5C%5C%5C%5Ct%5E2-1%2B5t%3D-1%5C%20%5C%20%2C%5C%20%5C%20%5C%20t%5E2%2B5t%3D0%5C%20%5C%20%2C%5C%20%5C%20t%5C%2C%20(t%2B5)%3D0%5C%20%5C%20%2C%5C%20%5C%20t_1%3D0%5C%20%2C%5C%20t_2%3D-5%5C%20%2C%5C%5C%5C%5Ca)%5C%20%5C%20sinx%2Bcosx%3D0%5C%20%5CBig%7C%3Acosx%5Cne%200%5C%5C%5C%5Ctgx%2B1%3D0%5C%20%5C%20%2C%5C%20%5C%20tgx%3D-1%5C%20%5C%20%2C%5C%20%5C%20x%3D-%5Cdfrac%7B%5Cpi%7D%7B4%7D%2B%5Cpi%20n%5C%20%2C%5C%20n%5Cin%20Z%5C%5C%5C%5Cb)%5C%20%5C%20sinx%2Bcosx%3D-5%5C%20%5C%20%5C%20%5Cto%20%5C%20%5C%20%5C%20x%5Cin%20%5Cvarnothing%20%5C%20%2C%5C%20%5C%20tak%5C%20kak%5C%20%5C%20%7Csinx%7C%5Cleq%201%5C%20%2C%5C%20%7Ccosx%7C%5Cleq%201