AP in angles!

Geometry Level 3

If α , β , γ \alpha ,\beta ,\gamma are in an arithmetic progression then the value of cot ⁡ β \cot\beta is:

s i n α − s i n γ 2 ( c o s γ − c o s α ) \cfrac { sin\alpha -sin\gamma }{ 2(cos\gamma -cos\alpha ) } s i n α − s i n γ c o s γ − c o s α \cfrac { sin\alpha -sin\gamma }{ cos\gamma -cos\alpha } ( s i n γ − s i n α ) ( c o s γ − c o s α ) \cfrac { (sin\gamma -sin\alpha ) }{ (cos\gamma -cos\alpha ) } 2 ( s i n γ − s i n α ) ( c o s γ − c o s α ) \cfrac { 2(sin\gamma -sin\alpha ) }{ (cos\gamma -cos\alpha ) }

Sahil Bansal by Sahil Bansal , 21, India

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1 solution

Deepak Kumar
Jan 26, 2016

Take angles as 30,45 and 60 to make it easy to eliminate wrong options!

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