Question

упростить  тригонометрическое выражение

Answer 1

$(sin x + cos x)^{2}+(sin x - cos x)^{2}-2 = sin^{2} x + cos^{2} x +2sinx*cosx + sin^{2}x - 2sinx*cosx +cos^{2} x-2 = 2-2+sin2x-sin2x=0$

Answer 2

sin^2^a + 2sina*cosa + cos^2^a + sin^2^a -2sina*cosa + cos^2^a - 2 =

= 2sin^2^a + 2cos^2^a - 2 =

= 2*(sin^2^a+cos^2^a) - 2=

=2*1 - 2 = 0.