buktikanlah cos b (1 +tan b)^2 =sec b + 2 sin b
Matematika
rizal788
Pertanyaan
buktikanlah cos b (1 +tan b)^2 =sec b + 2 sin b
1 Jawaban
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1. Jawaban Jawer17
cosB(1 + tanB)²
= cosB(1 + 2tanB + tan²B)
= cosB(1 + 2(sinB/cosB) + (sin²B/cos²B))
= cosB + 2sinB + (sin²B/cobB)
= 2sinB + cosB + (1 - cos²B)/cosB
= 2sinB + (cos²B + 1 - cos²B)/cosB
= 2sinB + 1/cosB
= 2 sinB + secB (terbukti)