Question

3 cos 5x -3/2 =0:0°≤×≤360°​

Answer 1

Penjelasan dengan langkah-langkah:

3 cos 5x - 3/2 = 0

3 cos 5x = 3/2

cos 5x = ½

cos 5x = cos 60°

5x = 60° + k.360°

x = 12° + k.72°

k = 0 ➡ x = 12° + 0° = 12°

k = 1 ➡ x = 12° + 72° = 84°

k = 2 ➡ x = 12° + 144° = 156°

k = 3 ➡ x = 12° + 216° = 228°

k = 4 ➡ x = 12° + 288° = 300°

cos 5x = cos (360 - 60)°

5x = 300° + k.360°

x = 60° + k.72°

k = 0 ➡ x = 60° + 0° = 60°

k = 1 ➡ x = 60° + 72° = 132°

k = 2 ➡ x = 60° + 144° = 204°

k = 3 ➡ x = 60° + 216° = 276°

k = 4 ➡ x = 60° + 288° = 348°

untuk interval 0° ≤ x ≤ 360°

HP = {12°, 60°, 84°, 132°, 156°, 204°, 228°, 276°, 300°, 348°}

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