2

August 2022 1 11 Report

Вычислите cos(t+4П); ctg(t-3П); tg(t) если sin(t+2П)= -3/5, -П/2<t<0.

Answers & Comments

julshum

Verified answer

$sin(t+2 \pi )=sint=- \frac{3}{5}$
Находим cos t, используя основное тригонометрическое равенство
$cost= \sqrt{1-sin^{2} t}= \sqrt{1- \frac{9}{25} }= \frac{4}{5}$

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

26 votes Thanks 53

Answers & Comments

Verified answer

Helpful Links

Helpful Social