if sin teta +tan teta =p,find the value of sec teta -tan teta
 
 
 
if sin teta =a/b,find the value of sec teta +tan teta

Asked by afreensyed13 | 24th Sep, 2016, 08:15: PM

Expert Answer:

begin mathsize 16px style sin space theta space equals space a over b rightwards double arrow sin squared space space equals space a squared over b squared
rightwards double arrow cos space theta space equals space square root of 1 minus sin squared theta end root space equals space square root of 1 minus a squared over b squared end root equals square root of fraction numerator b squared minus a squared over denominator b squared end fraction end root equals fraction numerator square root of b squared minus a squared end root over denominator b end fraction
N o w comma space s e c space space plus space tan space theta
equals fraction numerator 1 over denominator cos space theta end fraction plus fraction numerator sin space theta over denominator cos space theta end fraction
equals fraction numerator 1 plus sin space theta over denominator cos space theta end fraction
equals fraction numerator 1 plus begin display style a over b end style over denominator open parentheses begin display style fraction numerator square root of b squared minus a squared end root over denominator b end fraction end style close parentheses end fraction
equals fraction numerator a plus b over denominator square root of b squared minus a squared end root end fraction

N o t e colon space Y o u space a r e space r e q u e s t e d space t o space p o s t space o n l y space o n e space q u e s t i o n space p e r space t i m e.
A l s o comma space t h e space f i r s t space q u e s t i o n space apostrophe i f space sin space t e t a space plus tan space t e t a space equals p comma f i n d space t h e space v a l u e space o f space s e c space t e t a space minus tan space t e t a apostrophe
s e e m s space t o space b e space i n c o r r e c t. space P l e a s e space c h e c k. space end style

Answered by Rashmi Khot | 26th Sep, 2016, 10:15: AM

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