Question

cosec theta+ cot theta=10 then cot theta​

Answer 1

Answer:

Vaiue of (cot theta) is 99/20.

Step-by-step explanation:

we know a identity,

cosec square theta - cot square theta = 1.

(cosec theta + cot theta)(cosec theta - cot theta)=1 .

(10) (cosec theta - cot theta) = 1.

(cosec theta - cot theta) = 1/10.-----(1).

(cosec theta + cot theta) = 10------(2) (given).

Doing (1)-(2),

(cosec theta - cot theta - cosec theta - cot theta)

= 1/10-10

-2cot theta = -99/10.

2 cot theta = 99/10.

cot theta = 99/20.

Hence answer is 99/20.