Упростите выражения: 1) sin²t × tgt + cos²t × tgt 2) (sint + cost)²//1+2sintcost

Question

Упростите выражения:

1) sin²t × tgt + cos²t × tgt

2) (sint + cost)²//1+2sintcost

Answer 1

(sint+cost)^2/1+2sin t cos t
(sint+cost)^2/(1+2sin t cos t)=(sin^2t+2sint cost+cos^2t)/(1+2sint cost)=(1+2sint cost)/(1+2sint cost)=1