Упростите выражение:
sin(pi + a)*cos(pi-a)
сtg((3pi/2) - a)
sin(pi + a)*cos(pi-a) = - sin a * (- cos a) = sin a * cos a
сtg((3pi/2) - a) = tg a
(sin a * cos a) / tg a = (sin a * cos a) / (sin a / cos a) = (sin a * cos a * cos a) / sin a = cos a * cos a = (cos a)^2
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Answers & Comments
sin(pi + a)*cos(pi-a) = - sin a * (- cos a) = sin a * cos a
сtg((3pi/2) - a) = tg a
(sin a * cos a) / tg a = (sin a * cos a) / (sin a / cos a) = (sin a * cos a * cos a) / sin a = cos a * cos a = (cos a)^2