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प्रश्न
`tan[2tan^-1 (1/3) - pi/4]` = ______.
विकल्प
`1/7`
`-1/7`
`17/7`
`-17/7`
MCQ
रिक्त स्थान भरें
उत्तर
`tan[2tan^-1 (1/3) - pi/4]` = `-1/7`.
Explanation:
`tan[2tan^-1 (1/3) - pi/4]`
= `tan[tan^-1 ((2/3)/(1 - 1/9)) - tan^-1 (1)]` .......`[because 2tan^-1 x = tan^-1((2x)/(1 - x^2))]`
= `tan[tan^-1 (3/4) - tan^-1 (1)]`
= `tan[tan^-1 ((3/4 - 1)/(1 + 3/4))]`
= `tan[tan^-1 (-1/7)]`
= `-1/7`
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