Докажите тождество tgt/tgt+ctgt=sin^2t
Tgt/(tgt+ctgt)=tgt/(sint/cost+cost/sint)=
=tgt/((sin²t+cos²t)/(sint*cost))=tgt/(1/(sint*cost)=
(sint/cost)*(sint*cost)≡sin²t.
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Tgt/(tgt+ctgt)=tgt/(sint/cost+cost/sint)=
=tgt/((sin²t+cos²t)/(sint*cost))=tgt/(1/(sint*cost)=
(sint/cost)*(sint*cost)≡sin²t.