Buktikan bahwa sin A cosA (tan A + cot A) = 1

sin A cos A * sin A/cos A + sin A cos A * cos A/sin A = 1
sin² A + cos²A = 1
1 = 1

Mapel : Matematika
Kelas : X SMA
Bab : Trigonometri

Pembahasan :
Sin A Cos A (Tan A + Cot A) = 1
Sin A Cos A (Sin A/Cos A + Cos A/Sin A) = 1
Sin A Cos A [(Sin² A + Cos²A)/Sin A Cos A] = 1
Sin A Cos A [1/Sin A Cos A] = 1
1 = 1

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