A day full of math games & activities. Find one near you.
A day full of math games & activities. Find one near you.
A day full of math games & activities. Find one near you.
A day full of math games & activities. Find one near you.
Write the complex number in the form a + bi. √6(cos 315° + i sin 315°)
Solution:
Given, √6(cos 315° + i sin 315°)
We have to write the complex number in the form a + bi.
We know that,
Sin 315° = -1/√2
Cos 315° = 1/√2
Putting the values,
= √6(1/√2 + i (-1/√2))
= √6(1/√2 - i1/√2)
We know, √6 = √3 × √2
= √3 × √2 (1/√2 - i1/√2)
= √3 × √2(1/√2) - i√3 × √2(1/√2)
= √3 - i√3
Therefore, the complex number in the form a+bi is √3 - i√3.
Write the complex number in the form a + bi. √6(cos 315° + i sin 315°)
Summary:
The complex number √6(cos 315° + i sin 315°) in the form a+bi is √3 - i√3.
Math worksheets and
visual curriculum
visual curriculum