Archive
14th of September 2015
Mathematics
Q:

P r o v e space t h a t left parenthesis cos e c space theta space minus space c o t space theta right parenthesis to the power of 2 space end exponent equals fraction numerator 1 space minus cos space theta over denominator 1 space plus space cos space theta end fraction space

Dj Youtube Acc - CBSE - Class X

Wednesday, September 09, 2015 at 23:08:PM

A:

C o n s i d e r space t h e space L H S space o f space t h e space g i v e n space e q u a t i o n colon open parentheses c o s e c theta minus c o t theta close parentheses squared equals open parentheses fraction numerator 1 over denominator sin theta end fraction minus fraction numerator cos theta over denominator sin theta end fraction close parentheses squared space space space space space space space space space space space space space space space space space space space space space space space equals fraction numerator open parentheses 1 minus cos theta close parentheses squared over denominator sin squared theta end fraction space space space space space space space space space space space space space space space space space space space space space space space equals fraction numerator open parentheses 1 minus c o s theta close parentheses squared over denominator 1 minus cos squared theta end fraction space space space space space space space space space space space space space space space space space space space space space space space equals fraction numerator open parentheses 1 minus c o s theta close parentheses squared over denominator open parentheses 1 minus cos theta close parentheses open parentheses 1 plus c o s theta close parentheses end fraction space space space space space space space space space space space space space space space space space space space space space space space equals fraction numerator open parentheses 1 minus c o s theta close parentheses open parentheses 1 minus c o s theta close parentheses over denominator open parentheses 1 minus c o s theta close parentheses open parentheses 1 plus c o s theta close parentheses end fraction space space space space space space space space space space space space space space space space space space space space space space space equals fraction numerator open parentheses 1 minus c o s theta close parentheses over denominator open parentheses 1 plus c o s theta close parentheses end fraction H e n c e space p r o v e d.

Thursday, September 10, 2015 at 11:01:AM