Question

Sin 1* cos 2* tg 3* ctg 4 определите знак числа

Answer 1

+ + + + = +
все числа положительные след. +

Answer 2

To determine the sign of the expression sin(1°)cos(2°)tan(3°)cot(4°), we can use the following rules:

1. The sine and tangent functions are positive in the first and third quadrants, and negative in the second and fourth quadrants.
2. The cosine and cotangent functions are positive in the first and fourth quadrants, and negative in the second and third quadrants.

Using these rules, we can determine the signs of each term:

• sin(1°) is positive, since 1° is in the first quadrant.
• cos(2°) is positive, since 2° is in the first quadrant.
• tan(3°) is positive, since 3° is in the first quadrant.
• cot(4°) is negative, since 4° is in the first quadrant and cotangent is the reciprocal of tangent, so it has the opposite sign.

Therefore, the expression sin(1°)cos(2°)tan(3°)cot(4°) is positive * negative * positive * negative, which is equal to a negative value.

Thus, the sign of the expression is negative.