1) arccos(-1/2)+arcsin√3/2)sin 2) sin 75°+sin 15°/cos 15°-cos 75° 3) 1+cos 2a-sin 2a/cos a+cos(0,5╥+a) при a=7/3 ╥ решить значение уравнений! уже третий день сижу, голову ломаю! за ранее !
3)= 1 + cos 2a - 2sina cos a / (cos a - sin a) = =1 + (2 cos^2 a - 1) - 2sina cos a/ (cos a - sin a)= = 2 cos^2 a - 2sin acos a/(cos a - sin a) = 2* cosa(cos a - sin a) / (cos a - sina) = 2 cos a = 2* cos (7p/3) = 2* cos (p/3) = 2 * 1/2 = 1
arcsin(√3/2) = π/3;
arccos(-1/2) + arcsin(√3/2)= 2π/3 + π/3= π.
3)= 1 + cos 2a - 2sina cos a / (cos a - sin a) =
=1 + (2 cos^2 a - 1) - 2sina cos a/ (cos a - sin a)=
= 2 cos^2 a - 2sin acos a/(cos a - sin a) = 2* cosa(cos a - sin a) / (cos a - sina) =
2 cos a = 2* cos (7p/3) = 2* cos (p/3) = 2 * 1/2 = 1