Question

2. Порівняйте вирази: 1) cos110° sin20°; 2) tg40° cos170°; 3) ctg90° sin80°; 4) sin200° sin1º; 5) sin100° cos 160°; 6) cos 100° sin10°; 7) sin100° tg100°; 8) cos 100° cos180°​

Answer 1

На фотке…………………………………

Answer 2

Давайте порівняємо вирази по одному:

1. cos(110°)sin(20°):

cos(110°) ≈ -0.34202 sin(20°) ≈ 0.34202

Отже, cos(110°)sin(20°) ≈ -0.34202 * 0.34202 ≈ -0.1172

2. tg(40°)cos(170°):

tg(40°) ≈ 0.8391 cos(170°) ≈ -0.9848

Отже, tg(40°)cos(170°) ≈ 0.8391 * -0.9848 ≈ -0.8267

3. ctg(90°)sin(80°):

ctg(90°) = 0 (так як ctg(90°) = 1/tg(90°), а tg(90°) не існує) sin(80°) ≈ 0.9848

Отже, ctg(90°)sin(80°) = 0 * 0.9848 = 0

4. sin(200°)sin(1°):

sin(200°) ≈ -0.8733 sin(1°) ≈ 0.01745

Отже, sin(200°)sin(1°) ≈ -0.8733 * 0.01745 ≈ -0.0152

5. sin(100°)cos(160°):

sin(100°) ≈ 0.9848 cos(160°) ≈ -0.9397

Отже, sin(100°)cos(160°) ≈ 0.9848 * -0.9397 ≈ -0.9244

6. cos(100°)sin(10°):

cos(100°) ≈ -0.1736 sin(10°) ≈ 0.1736

Отже, cos(100°)sin(10°) ≈ -0.1736 * 0.1736 ≈ -0.0301

7. sin(100°)tg(100°):

sin(100°) ≈ 0.9848 tg(100°) ≈ -5.6713

Отже, sin(100°)tg(100°) ≈ 0.9848 * -5.6713 ≈ -5.5704

8. cos(100°)cos(180°):

cos(100°) ≈ -0.1736 cos(180°) = -1

Отже, cos(100°)cos(180°) ≈ -0.1736 * -1 ≈ 0.1736

Отримані результати:

1. -0.1172
2. -0.8267
3. 0
4. -0.0152
5. -0.9244
6. -0.0301
7. -5.5704
8. 0.1736