+91-93193 64476
FlagBACK
Flag Trigonometry> In any triangle ABC,if a²,b²,c² be in AP....
question mark

In any triangle ABC,if a²,b²,c² be in AP.,then prove that cotA,cotB,cotC are also in AP

jointyrost , 9 Years ago
Grade 11
anser 1 Answers
Jayanth Kasaraneni
let us consider that cotA,cotB,cotC are in AP and prove that a2,b2,c2 are in AP.
we know that cotA=\frac{b^{2}+c^{2}-a^{2}}{4(area of triangle)} and similarly cotB,cotC..
by considering that cotA,cotB,cotC are inAP,we get
2(c2+a2-b2)=(b2+c2-a2)+(b2+a2-c2),
by simplifying,we get
2b2=a2+c2,
\thereforea2,b2,c2 are in AP  
Last Activity: 9 Years ago
star
LIVE ONLINE CLASSES

Prepraring for the competition made easy just by live online class.

tv

Full Live Access

material

Study Material

removal

Live Doubts Solving

assignment

Daily Class Assignments


Other Related Questions on trigonometry

question mark
In ABC, if cot A+cot B+cot C = cosecA cosecB cosecC, then prove that ABC is right angle triangle.
trigonometry
1 Answer Available

Last Activity: 3 Years ago

question mark
  • Find the general solution of equation tan3∂=cot2∂
For all angles between -720 and +720
trigonometry
1 Answer Available

Last Activity: 4 Years ago

question mark
To prove : Cosec(45 degree - A)Cosec(45 degree + A) = 2SecA
trigonometry
1 Answer Available

Last Activity: 4 Years ago

question mark
Derive a formula for the area of the triangle, given b, A, B, and C. That is, derive the formula: (b^2sinAsinC)/(2sinB)
trigonometry
1 Answer Available

Last Activity: 4 Years ago

question mark
WHAT IS THE LIMIT WHEN X TOWARDS TO 0 OF sin6x/5x ? lim𝑥→0 𝑠𝑖𝑛6𝑥/5𝑥 
trigonometry
1 Answer Available

Last Activity: 4 Years ago