391.If A+B+C = ∠and A,B,C belongs to (0,âˆ/2) then prove that
secA +secB +secC≥6
http://www.goiit.com/posts/show/35761.htm
1.If A+B+C = ∠and A,B,C belongs to (0,âˆ/2) then prove that
secA +secB +secC≥6
2.Prove that sinx.sin2x.sin3x <9/16
3.Prove that in triangle ΔABC
cosec A/2 + cosec B/2 +cosec C/2 ≥ 6
4.Prove that in triangle ΔABC
cosec A/2 + cosec B/2 +cosec C/2 ≥ 6
-
UP 0 DOWN 0 0 7
7 Answers
391i dont know but i have oobserbed that any inequalities regarding anngles of the triangle can b solved equqlity part by taking right angle triangle and inequjality part by taking any known angle
and whenever their is given that the angles are acute (0,âˆ/2) that means all trigonometrical RATIOS ARE POSITIVE
u can simply apply a.m.>=g.m>=h.m.
1i don't know about Jensen's inequality.Would you please tell me.
1please tell about that
and please also tell me which book i should follow for trigo bcoz trigo is not visible to me
i can't understand wat should b d 1st step 4 d problem
its only after a several try that i can solve any problem
62read
A solved example based on it...
[url=http://www.targetiit.com/iit-jee-forum/posts/solve-using-graph-13875.html]Jenson's Inequality[/url]
For more solved examples and theory...
http://www.math.ust.hk/excalibur/v5_n4.pdf