Question

3(cos П/3 + i sin П/3)^2 пожалуйста помогите срочно нужно, заранее спасибо

Answer 1

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Answer 2

Calculating the Expression

To calculate the expression 3(cos(π/3) + i sin(π/3))^2, we can start by finding the value of cos(π/3) and sin(π/3).

The value of cos(π/3) is 0.5 and the value of sin(π/3) is √3/2.

Now, we can substitute these values into the expression and simplify it.

The expression becomes: 3(0.5 + i(√3/2))^2

Expanding and simplifying: 3(0.5 + i(√3/2))^2 = 3(0.5^2 + 2 * 0.5 * i * (√3/2) + (i * √3/2)^2)

Solving further: 3(0.25 + i * √3/2 + (-1/4)) = 3(0.25 - 1/4 + i * √3/2) = 3(-0.25 + i * √3/2)

So, the value of the expression 3(cos(π/3) + i sin(π/3))^2 is -0.75 + 3i√3/2.

This is the result of the given expression.