[JEE Advanced 2001] if alpha beta pi 2 and beta gamma alpha then tan alpha equals
If $\alpha+\beta=\frac\pi2$ and $\beta+\gamma=\alpha$, then $\tan\alpha$ equals
(a) $2(\tan\beta+\tan\gamma)$
(b) $\tan\beta+\tan\gamma$
(c) $\tan\beta+2\tan\gamma$
(d) $2\tan\beta+\tan\gamma$
1 Answer
VAVidaara Admin
✓ Vidaara Team
✓ Accepted
· 2d ago
▲ 0
Correct answer: (d) $2\tan\beta+\tan\gamma$
From the two relations $\alpha=\frac\pi4+\frac\gamma2$ and $\beta=\frac\pi4-\frac\gamma2$; substituting and simplifying yields $\tan\alpha=2\tan\beta+\tan\gamma$.
JEE Advanced 2001 · Trigonometry — verified solution by the Vidaara Team.
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