найти sin t + cos t, если sin t * cos t = 0.22

Question

найти sin t + cos t, если sin t * cos t = 0.22

Answer 1

Sint*cost=0/22
sint+cost=√(sint+cost)²=√(sin²t+cos²t+2sint*cost)=√(1+2*0,22)=√1,44
sint+cost=-1,2 или  sint+cost=1,2

Answer 2

(sint+cost)²=sin²t+2sintcost+cos²t=2sintcost+1=2*0,22+1=1,44
sint+cost=√1,44=1,2