Question

упростить:
(sinL+cosL)^2+(sin L-cosL)^2

Answer 1

$sin^{2}L+2sinL*cosL+ cos^{2}L+ sin^{2}L -2sinL*cosL+cos^{2}L= \ =2(sin^{2}L+cos^{2}L)=2$

Answer 2

(sinL+cosL)^2+(sin L-cosL)^2=sin^2L+2sinLcosL+cos^2L+sin^2 L-2sinLcosL+cos^2L=1+1=2