Question

Prove that (cosec theeta-sin theeta)(sec theeta-cos theeta)( tan theeta +cot theeta )=1

Answer 1

(sec a - cos a)(cosec a - sin a)(tan a + cot a)

1 - cos^2 a 1 - sin^2 a (sin^2 a + cos^2 a) 
---------------- . ---------------- . -------------------------
. .cos asin a sin a.cos a

sin^2 a .cos^2 a.1 
---------- . ----------- . --------------
cos a .sin a . sin a.cos a

= 1

Answer 2

Hey There! ☺

Nice Question! ♥

======================================
Answer : Refer Attached Image
======================================

Hope it helped! ☺