Question

Prove the identity 1) sin(u+v)/cos(u)cos(v)=tan(u)+tan(v) 2) sin(u+v)+sin(u-v)=2sin(u)cos(v) 3) (sin(theta)+cos(theta))^2=1+sin(2theta)

Prove the identity

1) sin(u+v)/cos(u)cos(v)=tan(u)+tan(v)

2) sin(u+v)+sin(u-v)=2sin(u)cos(v)

3) (sin(theta)+cos(theta))^2=1+sin(2theta)

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