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CBSE Class 10 Answered

 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
Asked by DJ | 09 Sep, 2015, 11:08: PM
answered-by-expert Expert Answer

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.

Answered by | 10 Sep, 2015, 11:01: AM
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