(1)f(α)=sin(π-α)cos(2π-α)tan(-α+π)tan(-α-π)/sin(-α+π)
=sinαcosα(-tanα)(-tanα)/sinα
=sinαtanα
(2)cos(α-3π/2)=-sinα=1/5、sinα=-1/5、cosα=-2√6/5、tanα=√6/12.
f(α)=sinαtanα(-1/5)(√6/12)=-√6/60
(1)f(α)=sin(π-α)cos(2π-α)tan(-α+π)tan(-α-π)/sin(-α+π)
=sinαcosα(-tanα)(-tanα)/sinα
=sinαtanα
(2)cos(α-3π/2)=-sinα=1/5、sinα=-1/5、cosα=-2√6/5、tanα=√6/12.
f(α)=sinαtanα(-1/5)(√6/12)=-√6/60