Use app×
Join Bloom Tuition
One on One Online Tuition
JEE MAIN 2025 Foundation Course
NEET 2025 Foundation Course
CLASS 12 FOUNDATION COURSE
CLASS 10 FOUNDATION COURSE
CLASS 9 FOUNDATION COURSE
CLASS 8 FOUNDATION COURSE
0 votes
520 views
in Mathematics by (44.9k points)
closed by
सर्वसमिका `sec^(2)theta=1+tan^(2)theta` का प्रयोग करके सिद्ध कीजिए कि
`(sintheta-costheta+1)/(sinthea+costheta-1)=(1)/(sectheta-tantheta).`

1 Answer

0 votes
by (43.8k points)
selected by
 
Best answer
वाम पक्ष `=(sintheta-costheta+1)/(sintheta+costheta-1)=(costheta[tantheta-1+sectheta])/(costheta[tantheta+1-sectheta])`
`=(tantheta+sectheta-1)/(tantheta-sectheta+1)=((tantheta+sectheta)-1)/((tantheta-sectheta)+1)xx((tantheta-sectheta))/((tantheta-sectheta))`
`=((tan^(2)theta-sec^(2)theta)-(tantheta-sectheta))/([(tantheta-sectheta)+1](tantheta-sectheta))`
`=(-1-tantheta+sec theta)/((tantheta-sec theta+1)(tantheta-sectheta))`
`(-1(tantheta-sectheta+1))/(-1(tantheta-sectheta+1))`
`=(-1)/(tantheta-sectheta)=(1)/(sectheta-tantheta)=` दायाँ पक्ष।

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

...