CBSE Class 10 Answered

if sinØ(sinØ-tanØ) + cosØ(cosØ-secØ) = 1+secØcosecØ

Asked by amitkhatua51 | 05 Feb, 2019, 08:56: AM

Expert Answer

begin mathsize 12px style sin ϕ open parentheses sin ϕ space minus space tan ϕ close parentheses space plus space cos ϕ space open parentheses cos ϕ space minus space s e c ϕ close parentheses space equals space 1 space plus space s e c ϕ space cos e c ϕ sin squared ϕ space minus space sin ϕ space tan ϕ space plus space cos squared ϕ space minus space 1 space equals space 1 space plus space fraction numerator 1 over denominator cos ϕ space sin ϕ end fraction minus sin ϕ space tan ϕ space equals space fraction numerator 1 plus cos ϕ space sin ϕ over denominator cos ϕ space sin ϕ end fraction minus sin cubed ϕ space equals space 1 plus space sin ϕ square root of 1 minus sin squared ϕ end root B y space e x a m i n i n g comma space a b o v e space e q u a t i o n space i s space s a t i s f i e d space w h e n space sin ϕ space equals space minus 1 space space space space o r space ϕ space equals space fraction numerator 3 pi over denominator 2 end fraction end style

Answered by Thiyagarajan K | 06 Feb, 2019, 10:50: AM