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
4.1k views
in Co-ordinate geometry by (63.5k points)

The sides of a triangle inscribed in a given circle subtend angles α, β and γ,  at the centre. The minimum value of the arithmetic mean of cos(α  + π/2), cos(β + π/2) and cos(γ + π/2) is equal to ……

1 Answer

0 votes
by (64.8k points)
selected by
 
Best answer

Since, sides of a triangle subtends α, β, γ at the center.

∴ α + β + γ = 2 π ... (i)

∴ Arithmetic mean

= (cos(π/2 + α) + cos(π/2 + β) + cos(π/2 + γ))/3

The value is minimum when the three angles are equal.

The minimum value of the AM is - √3/2. 

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.

...