Answer to Question #136494 in Trigonometry for Ojugbele Daniel

Question #136494

show that cosx(270degree +theta)/cos(360degree - theta)= tantheta

Expert's answer

cos(270^o+θ)/cos(360^o-θ)=(cos(270^o)cos(θ)-sin(270^o)sin(θ))/(cos(360^o)cos(θ)+sin(360^o)sin(θ))=(0*cos(θ)-(-1)*sin(θ))/(1*cos(θ)+0*sin(θ))=sin(θ)/cos(θ)=tan(θ)

Q.E.D.

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