Grade 12Trigonometry
if 2sinA/(1+cosA+sinA)=y then (1-cosA+sinA)/1+sinA=?
(a) y (b) 1/y (c) 1+y (d) 1-y
if 2sinA/(1+cosA+sinA)=y then (1-cosA+sinA)/1+sinA=?
(a) y (b) 1/y (c) 1+y (d) 1-y
1 Answer
Haroldo Martins
y=2senA/(1+cosA+senA)Façamos K=(1-cosA+senA)/1+senAmultipliqumos numerador e deniminador por (1+cosA-senA)K=(1-cosA+senA).(1+cosA-senA)/(1+cosA-senA).(1+senA)K=2.cosA.senA/(cos²A+cosA+senA.cosA)K=2.cosA.senA/[cosA(cosA+1+senA)]K=2.senA/(cosA+1+senA)K=2.senA/(1+cosA+senA)-->K=y
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