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JEE MATHEMATICS MCQ: TRIGONOMETRY RATIOS

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Application +4 | -1
If tan⁡α=mm+1\tan \alpha=\frac{m}{m+1} and tan⁡β=12m+1\tan \beta=\frac{1}{2 m+1}, then α+β=\alpha+\beta=
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Correct option: B
π4\frac{\pi}{4}
Option B (π4\frac{{\pi}}{{4}}) is correct because by using the formula for tan⁡(α+β)\tan(\alpha + \beta), we can show that tan⁡(α+β)=1\tan(\alpha + \beta) = 1, which implies α+β=π4\alpha + \beta = \frac{{\pi}}{{4}}.

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