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

Related Videos

Relationship between sides and angles of a triangle. Define trigonometric r...

Trigonometric ratios of some specific angles like 0,30,45,60,90 degrees.

This video explains the Applications of Trigonometric Identities in solving...

Discuss concept of complementary angles in right angled triangle. Trigonom...

Prove trigonometric identities involving the basic trigonometric ratios si...

Ask Doubt

Queries asked on Sunday & after 7pm from Monday to Saturday will be answered after 12pm the next working day.