Find me the angle!

Geometry Level 2

Two circles of radii a a and b b touch each other externally such that θ \theta is the angle between the direct common tangent . Given, a > b ≥ 2 a>b\ge2 . Then which one of the following is true?

2 s i n − ( a − b ) ( a + b ) 2sin^-\dfrac{(a-b)}{(a+b)} 2 c o s − ( a − b ) ( a + b ) 2cos^-\dfrac{(a-b)}{(a+b)} 2 t a n − ( a − b ) ( a + b ) 2tan^-\dfrac{(a-b)}{(a+b)} 2 s i n − ( a + b ) ( a − b ) 2sin^-\dfrac{(a+b)}{(a-b)}

Skanda Prasad by Skanda Prasad , 20, India

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1 solution

Ahmad Saad
Apr 19, 2017

5 Helpful 1 Interesting 2 Brilliant 0 Confused

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