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Question
`tan^-1 1/2 + tan^-1 2/11` is equal to
Options
`tan^-1 4/3`
`tan^-1 3/4`
`tan 4/3`
`tan 3/4`
MCQ
Solution
`tan^-1 3/4`
Explanation:
`tan^-1 1/2 + tan^-1 2/11`
= `tan^-1 (1/2 + 2/11)/(1 - 1/2 xx 2/11)`
= `tan^-1 15/20`
= `tan^-1 3/4`
= R.H.S
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