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Himleo
@Himleo
July 2022
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Известно, что tg t=7/24,п<t<3п/2 Вычислите sin t,cos t ,ctg t
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hlopushinairina
Tgt=ry/rx⇒ry и rx катеты .
r=√(7²+24²)=√625=25;⇒
sint=ry/r=7/25;⇒π<t<3π/2⇒sint<0⇒sint=-7/25;
cost=24/25;⇒π<t<3π/2⇒cost<0 ⇒cost=-24/25;
ctgt=1/tgt=24/7 ctgt>0⇒ctgt=24/7
ответ: sint=-7/25;cost=-24/25;ctgt=24/7
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Answers & Comments
r=√(7²+24²)=√625=25;⇒
sint=ry/r=7/25;⇒π<t<3π/2⇒sint<0⇒sint=-7/25;
cost=24/25;⇒π<t<3π/2⇒cost<0 ⇒cost=-24/25;
ctgt=1/tgt=24/7 ctgt>0⇒ctgt=24/7
ответ: sint=-7/25;cost=-24/25;ctgt=24/7