(CosQ - SinQ + 1) / (CosQ + SinQ - 1) = CosecQ + CotQ
Answers
Answered by
4
(CosQ-SinQ+1)
--------------------
sinQ
--------------------------------
CosQ+SinQ-- 1
-----------------------
sinQ
=COTQ--1+COSECQ
----------------------------------
COTQ+1--COSECQ
=COTQ+COSECQ--1
----------------------------------
COTQ--COSECQ+1
=COTQ+COSECQ-(COSEC^2Q-COT^2Q)
--------------------------------------------------------------------
COTQ--COSECQ+1
=COTQ+COSECQ--((COSECQ+COTQ)(COSECQ--COTQ))
------------------------------------------------------------------
(COT--COSEQ+1)
=(COTQ--COSECQ+1)(COTQ+COSECQ)
-------------------------------------------------------------------
(COTQ--COSECQ+1)
=COTQ+COSECQ
PROVED
aniketkumar18:
you joined me
Similar questions