XI. Solve the following equations:-...
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XI. Solve the following equations:- (1) tan (cos-?x) = sin(tan-12) (2) tan-11* tan-x x>0 (3) 2 tan-(sin x) = tan-(2 sec x) 0
JEE/Engineering Exams
Maths
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( theta ) only one in one time (?) ( tan ^{1} frac{1-x}{1+x}=frac{1}{2} pi n^{-1} x ) ( operatorname{PTan} 1left(frac{1-x}{1+x}right)=operatorname{Tan} 1 x ) ( left.tan ^{-1} frac{left(frac{2-2 x}{1+x}right.}{1-left(frac{1-x}{1+x}right)^{2}}right)=tan x ) ( Pleft(frac{1-x}{1+x}right)=2left(1+x^{2}+2 x-right. ) ( left(frac{1-x}{1+x}right)=frac{4 x^{2}}{(1+x)} ) ( 1+x=0 ) ( 12 x=-1 ) [ begin{array}{c} Pleft(1-x^{2}right)=4 x^{2} 2-2 x^{2}=4 x^{2} x=6 x^{2} end{array} ] ( int_{2}^{2}=frac{frac{1}{3}}{sqrt{3}} )

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