cosx+sinx=21⇒1+sin2x=41⇒sin2x=−43, so x is obtuse and 1+tan2x2tanx=−43⇒3tan2x+8tanx+3=0 ∴tanx=6−8±64−36=3−4±7 ∵tanx<0∴tanx=3−4−7
If 0<x<π and cosx+sinx=21, then tanx is
Held on 30 Apr 2006 · Verified 6 Jul 2026.
4(1−7)
3(4−7)
−3(4+7)
4(1+7)
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