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АБС123
@АБС123
August 2022
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Вычислите cos(t+4П); ctg(t-3П); tg(t) если sin(t+2П)= -3/5, -П/2<t<0.
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julshum
Verified answer
Находим cos t, используя основное тригонометрическое равенство
сos(t+4pi)=cos t=4/5
ctg(t-3pi)=ctg t = cos t/sin t = (4/5)/(-3/5)=- (4*5)/(5*3) = -4/3
tg t = sin t/ cos t = (-3/5)/(4/5)=-(3*5)/(5*4)=-3/4
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Answers & Comments
Verified answer
Находим cos t, используя основное тригонометрическое равенство
сos(t+4pi)=cos t=4/5
ctg(t-3pi)=ctg t = cos t/sin t = (4/5)/(-3/5)=- (4*5)/(5*3) = -4/3
tg t = sin t/ cos t = (-3/5)/(4/5)=-(3*5)/(5*4)=-3/4