Answer :

Given:


The points (0, 0), (cos θ, sin θ) and (sinθ, - cosθ) lies on the line y = 2x


To find:


The value of tanθ.


Explanation:


The centroid of a triangle with vertices (x1,y1), (x2, y2) and (x3, y3)is given below:



Therefore, the centre of the triangle having vertices (0, 0,), (cos θ, sin θ) and (sin θ, cos θ) is


This point lies on the line y = 2x.



sinθ – cosθ = 2cosθ + 2sinθ


tanθ = -3


tanθ = 3


Hence, tanθ = 3


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