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
72 views
in Trigonometry by (71.9k points)
closed by
Simplify: `(1+tan^(2)theta)(1-sintheta)(1+sintheta)`

1 Answer

0 votes
by (72.1k points)
selected by
 
Best answer
`(1+tan^(2)theta)(1-sintheta)(1+sintheta)= (1+tan^(2)theta)(1-sin^(2)theta)` `[therefore (a-b)(a+b)=a^(2)-b^(2)]`
`=sec^(2)theta. Cos^(2)theta` `[therefore 1+tan^(2)theta= sec^(2)theta` and `cos^(2)theta + sin^(2)theta=1]`
`=1/(cos^(2)theta).cos^(2)theta=1` `[therefore sectheta=1/(costheta)]`

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

...