i. Let us express cosec θ and tan θ in term of sin θ.

ii. Let us write cosec θ and tan θ in term cos θ.

If then let us show that

If tan θ=1, then let us determine the value of

If sec θ + tan θ=2, then let us determine the value of (sec θ-tan θ).

If cosec θ – cot θ = √2 – 1, then let us write by calculating, the value of (cosec θ + cot θ).