tan(3π-α)/sin(π-α)sin(3/2π-α)+sin(2π-α)cos(α-7/2π)/sin(3/2π+α)cos(2π+α)
=tan(-a)/sina*-cosa +sin(-a)cos(a+π/2)/-cosa*cosa
=tana/sinacosa-sinasina/cosa*cosa
=sina/cosa*1/sinacosa-sin²a/cos²a
=1/cos²a-sin²a/cos²a
=(1-sin²a)/cos²a
=cos²a/cos²a
=1
tan(3π-α)/sin(π-α)sin(3/2π-α)+sin(2π-α)cos(α-7/2π)/sin(3/2π+α)cos(2π+α)
=tan(-a)/sina*-cosa +sin(-a)cos(a+π/2)/-cosa*cosa
=tana/sinacosa-sinasina/cosa*cosa
=sina/cosa*1/sinacosa-sin²a/cos²a
=1/cos²a-sin²a/cos²a
=(1-sin²a)/cos²a
=cos²a/cos²a
=1