Ответ:

Объяснение:

6 )  . . . =4sin( 2π + 2π/3)cos( 4π + 3π/4 ) = 4sin2π/3cos3π/4 = 4sin( π - π/3 )*

* cos( π - π/4 ) = 4sinπ/3(- cosπ/4 ) = - 4 * √3/2 * √2/2 = - √ 6 .

7 ) . . . = - sin( 6π + 3π/4 )cos( 8π - π/4 ) = - sin3π/4 cos( - π/4 ) =

= - sin( π - π/4 )cosπ/4 = - sinπ/4cosπ/4 = - √2/2 * √2/2 = - 2/4 = - 1/2 .

8 ) cosπ - sin( 5π/2 ) + tg²( 4π/3) = - 1 + sin( 2π +π/2 ) + [tg( π + π/3)]² =

= - 1 + sinπ/2 + ( tgπ/3)² = - 1 + 1 + ( √3)² = 3 .