Положительным или отрицательным числом является следующее значение тригонометрической функции: 1) sin 110°; 2) cos 200°; 3) tg 160°; 4) ctg 220°; 5) sin 280°; 6) cos 340°; 7) tg(—95°); 8) ctg(—230°); 9) sin (—l30°); 10) cos 600°; 11) ctg 500°; 12) tg 670°? 13) cos 2; 14) sin (—3); 15) tg 10; 16) ctg 1,7?

1) sin 110°: To determine if sin 110° is positive or negative, we need to know the quadrant in which 110° lies. In the standard unit circle, 110° is in the second quadrant where sine is positive. Therefore, sin 110° is positive. 2) cos 200°: To determine if cos 200° is positive or negative, we need to know the quadrant in which 200° lies. In the standard unit circle, 200° is in the third quadrant where cosine is negative. Therefore, cos 200° is negative. 3) tg 160°: To determine if tg 160° is positive or negative, we need to know the quadrant in which 160° lies. In the standard unit circle, 160° is in the second quadrant where tangent is positive. Therefore, tg 160° is positive. 4) ctg 220°: To determine if ctg 220° is positive or negative, we need to know the quadrant in which 220° lies. In the standard unit circle, 220° is in the third quadrant where cotangent is negative. Therefore, ctg 220° is negative. 5) sin 280°: To determine if sin 280° is positive or negative, we need to know the quadrant in which 280° lies. In the standard unit circle, 280° is in the third quadrant where sine is negative. Therefore, sin 280° is negative. 6) cos 340°: To determine if cos 340° is positive or negative, we need to know the quadrant in which 340° lies. In the standard unit circle, 340° is in the fourth quadrant where cosine is positive. Therefore, cos 340° is positive. 7) tg(—95°): To determine if tg(—95°) is positive or negative, we need to convert —95° to its positive equivalent. —95° + 360° = 265°. Now, we can determine the quadrant of 265°. In the standard unit circle, 265° is in the third quadrant where tangent is negative. Therefore, tg(—95°) is negative. 8) ctg(—230°): To determine if ctg(—230°) is positive or negative, we need to convert —230° to its positive equivalent. —230° + 360° = 130°. Now, we can determine the quadrant of 130°. In the standard unit circle, 130° is in the second quadrant where cotangent is positive. Therefore, ctg(—230°) is positive. 9) sin (—l30°): To determine if sin (—l30°) is positive or negative, we need to convert —l30° to its positive equivalent. —l30° + 360° = 230°. Now, we can determine the quadrant of 230°. In the standard unit circle, 230° is in the third quadrant where sine is negative. Therefore, sin (—l30°) is negative. 10) cos 600°: To determine if cos 600° is positive or negative, we need to know the quadrant in which 600° lies. In the standard unit circle, 600° is in the first quadrant where cosine is positive. Therefore, cos 600° is positive. 11) ctg 500°: To determine if ctg 500° is positive or negative, we need to know the quadrant in which 500° lies. In the standard unit circle, 500° is in the fourth quadrant where cotangent is negative. Therefore, ctg 500° is negative. 12) tg 670°: To determine if tg 670° is positive or negative, we need to know the quadrant in which 670° lies. In the standard unit circle, 670° is in the second quadrant where tangent is positive. Therefore, tg 670° is positive. 13) cos 2: To determine if cos 2 is positive or negative, we need to know the value of 2 in degrees. Since 2 is not included in the standard unit circle, we cannot determine the sign of cos 2 without additional information. 14) sin (—3): To determine if sin (—3) is positive or negative, we need to convert —3 to its positive equivalent. —3 + 360° = 357°. Now, we can determine the quadrant of 357°. In the standard unit circle, 357° is in the fourth quadrant where sine is negative. Therefore, sin (—3) is negative. 15) tg 10: To determine if tg 10 is positive or negative, we need to know the quadrant in which 10 lies. In the standard unit circle, 10 is in the first quadrant where tangent is positive. Therefore, tg 10 is positive. 16) ctg 1,7: To determine if ctg 1,7 is positive or negative, we need to calculate the cotangent of 1,7. Cotangent is the reciprocal of tangent, so ctg 1,7 is equal to 1/tg 1,7. Since we determined earlier that tg 1,7 is positive (since 1,7 is in the first quadrant), its reciprocal will also be positive. Therefore, ctg 1,7 is positive.