Buktikan bahwa (tan alpha + cos alpha/1+sin alpha) × sin alpha= tan alpha tolong y,please...
Matematika
dwin5
Pertanyaan
Buktikan bahwa (tan alpha + cos alpha/1+sin alpha) × sin alpha= tan alpha
tolong y,please...
tolong y,please...
1 Jawaban
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1. Jawaban Robinn
(tanx + cosx/1+sinx) . sinx = tanx
(sinx/cosx + cosx/1+sinx) . sinx = tanx
(sinx (1 + sinx) + cos²x / cosx(1 + sinx) . sinx = tanx
(sinx + sin²x + cos²x / cosx(1 + sinx) . sinx = tanx
(sinx + 1) / cosx(1 + sinx) . sinx = tanx
(1 / cosx) sinx = tanx
sinx / cosx = tanx
tanx = tanx