Prove the identity cot 0+1/cot 0 = 1+tan0

Question

Prove the identity cot 0+1/cot 0 = 1+tan0

Answer 1

cot(θ) + 1       cot(θ)           1

------------  =  --------  +  --------  =  1 + (1/cot(θ))

   cot(θ)          cot(θ)         cot(θ)

 

Now 1/cot(θ) = tan(θ), so:

 

1 + 1/cot(θ) = 1 + tan(θ)