Inverse Trigo Problem...

Geometry Level 4

The exhaustive set of values of x x , if 2 tan ⁡ − 1 3 x = sin ⁡ − 1 ( 6 x 1 + 9 x 2 ) 2\tan^{-1}3x=\sin^{-1}\left(\dfrac{6x}{1+9x^{2}}\right)

Also see Quadratics

( − ∞ , − 1 3 ) (-\infty,\frac{-1}{3}) [ 1 2 , 6 ] [\frac{1}{2},6] ( − ∞ , − 1 ) (-\infty,-1) ( 2 , ∞ ) (2,\infty) [ 2 , 6 ] [2,6] [ − 1 3 , 1 3 ] [\frac{-1}{3},\frac{1}{3}]

Tanishq Varshney by Tanishq Varshney , 23, India

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