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
5.3k views
in Trigonometry by (53.1k points)
Find the general solution of the equation (cos x - sin x)(2 tan x + 1/cos x) + 2 = 0.

1 Answer

+1 vote
by (53.3k points)
selected by
 
Best answer

Using the formulas above the given equation can be rewritten as,

Its roots are t1 = 1/√3 and t2 = -1/√3

Thus, the solution of the equation reduces to that of two elementary equations

tan x/2 = 1/√3, tan x/2 = - 1/√3

The solution is

tan x/2 = nπ ± π/6 ⇒ x = 2nx ± π/3

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.

...