Question

В какой Координатной четверти расположен угол , если:1)sin>0 и cos>0;2)sin>0 и cos<0;3)sin>0 и tg>0;4)sin<0 и cos>0;5)tg<0 и cos>0;6)ctg>0 и sin<0?Помогите по скорее срочно!!!!спасибо за ранее

Answer 1

1)sina>0 и cosa>0 => a∈I
2)sina>0 и cosa<0=> a∈II
3)sina>0 и tga>0 => a∈I
4)sina<0 и cosa>0 =>a∈IV
5)tga<0 и cosa>0  =>a∈IV
6)ctga>0 и sina<0 => a∈III

Answer 2

In which quadrant is the angle located?

1) If sin > 0 and cos > 0: - When sin > 0, the angle is in either the first or second quadrant. - When cos > 0, the angle is in either the first or fourth quadrant. - Therefore, the angle is located in the first quadrant.

2) If sin > 0 and cos < 0: - When sin > 0, the angle is in either the first or second quadrant. - When cos < 0, the angle is in either the second or third quadrant. - Therefore, the angle is located in the second quadrant.

3) If sin > 0 and tg > 0: - When sin > 0, the angle is in either the first or second quadrant. - When tg > 0, the angle is in either the first or third quadrant. - Therefore, the angle is located in the first quadrant.

4) If sin < 0 and cos > 0: - When sin < 0, the angle is in either the third or fourth quadrant. - When cos > 0, the angle is in either the first or fourth quadrant. - Therefore, the angle is located in the fourth quadrant.

5) If tg < 0 and cos > 0: - When tg < 0, the angle is in either the second or fourth quadrant. - When cos > 0, the angle is in either the first or fourth quadrant. - Therefore, the angle is located in the fourth quadrant.

6) If ctg > 0 and sin < 0: - When ctg > 0, the angle is in either the first or third quadrant. - When sin < 0, the angle is in either the third or fourth quadrant. - Therefore, the angle is located in the third quadrant.

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