(tgx+ctgx)^2=tg^2x+ctg^2x+2(1-tgx)(1+ctgx)=ctgx-tgx
a)
L=tg²x+ctg²x+2tgxctgx=tg²x+ctg²x+2
P=tg²x+ctg²x+2
L=P
tgx*ctgx=1
(a+b)²=a²+b²+2ab
b)
L=(1-tgx)(1+ctgx)=1+ctgx-tgx-tgxctgx=1+ctgx-tgx-1=ctgx-tgx
P=ctgx-tgx
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a)
L=tg²x+ctg²x+2tgxctgx=tg²x+ctg²x+2
P=tg²x+ctg²x+2
L=P
tgx*ctgx=1
(a+b)²=a²+b²+2ab
b)
L=(1-tgx)(1+ctgx)=1+ctgx-tgx-tgxctgx=1+ctgx-tgx-1=ctgx-tgx
P=ctgx-tgx
L=P