Question

if cosec tita + cot tita = x then find the value of cosec tita - cot tita

Answer 1

here is my answer hope u will undrstnd

Answer 2

Given Equation is cosec theta + cot theta = x  ---- (1)

We know that cosec^2 theta = 1 +  cot^2 theta 

                        Then cosec^2 theta - cot^2 theta = 1.


We know that (a^2 - b^2) = (a + b)(a - b)

Then (cosec^2 theta - cot^2 theta) = 1 :

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

(x)(cosec theta - cot theta) = 1

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


Hope this helps!