Question

If cosec A + cot A= 11/2 , then cot A is * 2 points 22/117 117/21 117/22 22/111​

Answer 1

Answer:

cosec A + cot A = 11/2….(i)

Using the identity cosec2A – cot2A = 1,

(cosec A + cot A)(cosec A – cot A) = 1

(11/2)(cosec A – cot A) = 1

cosec A – cot A = 2/11….(ii)

Subtracting (ii) from (i),

cosec A + cot A – cosec A + cot A = (11/2) – (2/11)

2 cot A = (121 – 4)/22

cot A = 117/44

tan A = 1/cot A = 44/117