Question

(1-sinb)(1+sinb)+(1+cosb)(1-cosb) спростити вираз

Answer 1

(1-sinb)(1+sinb)+(1+cosb)(1-cosb)=
=1-sin²b+1-cos²b=2-(sin²b+cos²b)=2-1=1

Answer 2

$(1-sin beta)(1+sin beta)+(1+cos beta)(1-cos beta) = \ =(1-sin^2 beta)+(1-cos^2 beta) =cos^2 beta+sin^2 beta=1$