Question

Ctg 620 * sin 7П/3 * cos 37П/6

Answer 1

ctg(31п/9)*sin(2п+п/3)*cos(6п+п/6)=ctg(3п+4п/9)*sin(п/3)*cos(п/6)=ctg(80 градусов)*1=ctg(80 градусов)

Answer 2

To calculate the expression, you need to know the numerical values of the trigonometric functions of the given angles. Let's calculate each part step by step:

1. Calculate the value of sin(7π/3): sin(7π/3) = sin(2π + π/3) = sin(π/3) = √3/2

2. Calculate the value of cos(37π/6): cos(37π/6) = cos(6π + π/6) = cos(π/6) = √3/2

Now, multiply all the values together:

Ctg 620 * sin(7π/3) * cos(37π/6) = Ctg 620 * (√3/2) * (√3/2)

The values of sin(7π/3) and cos(37π/6) are both (√3/2), so the expression simplifies to:

Ctg 620 * (√3/2)^2 = Ctg 620 * (3/4) = 0.75 * Ctg 620

Unfortunately, without knowing the value of Ctg 620 (cotangent of 620), I cannot provide a specific numerical result for the expression. If you have the value of Ctg 620, you can simply multiply it by 0.75 to find the answer.