tan inverse 2/3=1/2 tan inverse 12/5
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tan⁻¹2/3 = 1/2 tan⁻¹12/5
2 tan⁻¹2/3 = tan⁻¹12/5
Taking LHS
2 tan⁻¹2/3 = tan⁻¹\frac{2x2/3}{1-(2/3)^{2} } = tan⁻¹\frac{4/3}{1-4/9} = tan⁻¹12/5
=RHS
Hence Proved
2 tan⁻¹2/3 = tan⁻¹12/5
Taking LHS
2 tan⁻¹2/3 = tan⁻¹\frac{2x2/3}{1-(2/3)^{2} } = tan⁻¹\frac{4/3}{1-4/9} = tan⁻¹12/5
=RHS
Hence Proved
Answered by
11
tan⁻¹2/3 = 1/2 tan⁻¹12/5
2 tan⁻¹2/3 = tan⁻¹12/5
Taking LHS
2 tan⁻¹2/3 = tan⁻¹\frac{2x2/3}{1-(2/3)^{2} } = tan⁻¹\frac{4/3}{1-4/9} = tan⁻¹12/5
=RHS
Hope it helps u
2 tan⁻¹2/3 = tan⁻¹12/5
Taking LHS
2 tan⁻¹2/3 = tan⁻¹\frac{2x2/3}{1-(2/3)^{2} } = tan⁻¹\frac{4/3}{1-4/9} = tan⁻¹12/5
=RHS
Hope it helps u
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