In a triangle ABC, if cotAcotBcotC> 0, then the triangle is | MATH - TRIGONOMETRICAL RATIOS OF SUM & DIFFERENCE | SolveeIt | Solveeit

Today, August 19

Question

In a triangle ABC, if cotAcotBcotC> 0, then the triangle is

A

Acute angled

B

Right angled

C

Obtuse angled

D

Does not exist

Answer

Acute angled

Explanation

Solution

Since cotA cotB cotC > 0,

cotA, cotB, cotC are positive ⇒ ∆ is acute angled