Question

Z=cos(π\10)+i×sin(π\10)​

Answer 1

Відповідь:

sin(π/3)sin(3π/10) /2 или ≈ 0.125

Answer 2

The expression you've provided defines a complex number, often denoted as Z, using trigonometric functions. Here, Z is represented in polar form, where Z = cos(π/10) + i × sin(π/10).

Breaking it down:

1. cos(π/10) represents the real part of the complex number.
2. sin(π/10) represents the imaginary part of the complex number.
3. "i" represents the imaginary unit, where i^2 = -1.

This complex number represents a point on the unit circle in the complex plane that is 1/10th of the way around the circle in the counterclockwise direction from the positive real axis. In other words, it represents a complex number with a magnitude of 1 and an argument (angle) of π/10 radians.

If you want to find the numerical value of this complex number, you can use a calculator or software that handles trigonometric functions. The specific value of Z depends on the calculation of cos(π/10) and sin(π/10), which will yield real and imaginary components.