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प्रश्न
Solve: sin(2 tan -1 x)=1
उत्तर
sin( 2tan-1x) = 1
∴ `2((tan(tan^-1x)))/ (1 + tan^2(tan^-1x))= 1 {sin 2θ = (2tanθ}/(1+ tan^2theta)}`
`(2x)/(1+x^2)=1`
x2 + 1 = 2x
x2 + 1 - 2x = 0
(x-1)2 = 0
x - 1 = 0
x = 1
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