(Q4)i. If cosec θ =
25
7
, then find cot θ.

Given cosec θ =
25
7

We know that cosec2 θ – cot2 θ = 1

cot2 θ = 2 θ – 1

cot θ= √2 θ – 1

= √ (
)2 - 1
= √
-
1
1
= √
625 -
49
= √
∵ cot θ =