8) 4sin^2x+3=4 (1-cos^2x)+3 = 4 (1-0,4)+3 = 4*0,6 +3 = 2,4 +3 = 5,4
7) sin^2a = 1 - cos^2a = 1 - 19/100 = 81/100
sina = +- 9/10
sina = 9/10, так как при (0, pi/2) sina>0
6) cos^2a= 1 - sin^2a = 1 - 21/25 = 4/25
cosa = +- 2/5
т.к. при (pi, 3pi/2) cosa <0, то cosa= -2/5<br>
5) tga= sina/cosa
sin^2a = 1 - cos^2a = 1 - 52/169 = 117/169
sina = - 3*sqrt (13)/13, т.к. при (pi, 3pi/2) sina <0<br>
tga = -3*sqrt (13)/13 : (-2*sqrt (13)/13) = 3/2