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CBSE Class 10 Answered

If sec A + tan A = p , then find cosec A.
Asked by Abel | 03 Mar, 2019, 02:48: PM
answered-by-expert Expert Answer
sec2A - tan2A =1
 
Hence ( sec A - tan A ) = 1/( sec A + tan A ) = 1/p
 
sec A + tan A = p ....................(1)
sec A - tan A = 1/p .................(2)
 
By adding (1) and (2), we get ,    sec A = (1/2) [ p+(1/p) ]  ........................(3)
By subtracting (2) from (1), we get,  tan A  = (1/2) [ p - (1/p) ] ....................(4)
 
cosec A = ( sec A ) / ( tan A ) = [ p + (1/p) ] / [ p - (1/p) ]
Answered by Thiyagarajan K | 03 Mar, 2019, 03:10: PM

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