LIVE Course for free

Rated by 1 million+ students
Get app now
0 votes
38 views
in Trigonometry by (71.8k points)
closed by
Porve that : (cosecA-sinA)(secA-cosA)`=(1)/(tanA+cotA)`

1 Answer

0 votes
by (72.0k points)
selected by
 
Best answer
L.H.S.`=("cosec"A-sinA)(secA-cosA)`
`=((1)/(sinA)-sinA/(1))((1)/(cosA)-(cosA)/(1))=((1-sin^(2)A)/(sinA))((1-cos^(2)A)/(cosA))`
`=((cos^(2)A)/(sinA))((sin^(2)A)/(cosA))=cosA sinA`
andR.H.S.`=(1)/(tanA+cotA)=(1)/(sinA/(cosA)+cosA/sinA)`
`=(1)/((sin^(2)A+cos^(2)A)/(sinAcosA))=(sinAcosA)/(1)=sinAcosA`
`:.` L.H.S.=R.H.S.

Welcome to Sarthaks eConnect: A unique platform where students can interact with teachers/experts/students to get solutions to their queries. Students (upto class 10+2) preparing for All Government Exams, CBSE Board Exam, ICSE Board Exam, State Board Exam, JEE (Mains+Advance) and NEET can ask questions from any subject and get quick answers by subject teachers/ experts/mentors/students.

Categories

...