Question 2 - Show that tan-1 x + tan-1 2x/(1-x2) - Inverse
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Example 7Show that tan-1 𝑥 tan-1 2𝑥/(1 −𝑥2) = tan-1 (3𝑥 − 𝑥3)/(1 − 3𝑥2) Solving L.H.Stan-1 𝑥 tan-1 2𝑥/(1 − 𝑥2) = tan-1 (𝑥 2𝑥/(1 − 𝑥2))/(1− 𝑥 × 2𝑥/(1 − 𝑥2)) = tan-1 ((𝑥(1 − 𝑥2) 2𝑥)/(1 − 𝑥2))/(〖(1 − 𝑥2) − 2𝑥〗^2/(1 − 𝑥2))We know that tan-1 x tan-1 y ...
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