MAJOR Trigonometry Help!!!?

I have no clue how to do this so if someone could please show me or tutor me so that I can understand what I'm doing? These are just 2 of the questions that have to be done.. Please help me!!! I beg of you.. PLEASE!!!!


4. Given θ = π/6, which of the following shows tan θ cot θ = 1?


a. (√3/2)(2√3/3) = (2√9/6) = 6/6 = 1 b. (1/2)(2) = 1 c. (√3/3)(√3) - √9/3) = 3/3 = 1 d. (√2/2)(√2) = √4/2 = 2/2 = 1





5. Given θ = π/4, which of the following shows sin θ csc θ = 1?


a. (3/2)(2√3/3) = 2√9/6 = 6/6 = 1 b. (1/2)(2) = 1 c. (√3/3)(√3) = √9/3 = 3/3 = 1 d. (√2/2)(√2) = √4/2 = 2/2 = 1

MAJOR Trigonometry Help!!!?
1.


tanθ=sinθ/cosθ=sin(π/6) / cos(π/6)


sin(π/6)=1/2


cos(π/6)=√3 / 2


so tan(π/6) = √3/3





cotθ=cosθ/sinθ=cos(π/6) / sin(π/6)


cot(π/6) = √3





(√3/3)*(√3) = √9/3 = 3/3 = 1





2.


cscθ=1/sinθ


csc(π/4) = 1/ sin(π/4) = 1/ (√2/2) = 2/√2 = √2





(√2/2) * (√2) = √4/2 = 2/2 = 1