Question

7{cos(-5π/6)+(isin(-5π/6)}express in the form of x+iy​

Answer 1

Answer:

7√3 1

(- ------- - ------- i )

2 2

Step-by-step explanation:

given ---->

--------

5π 5π

7{cos(- -------)+i sin(- ------ )}

6 6

we know that

cos(-α)=cosα and sin(-α)=sinα

using it

5π 5π

=7(cos------- -i sin-------)

6 6

π π

=7{cos(π- ------)+i sin(π- ------)}

6 6

cos(π-α)=-cosα and sin(π-α)=sinα

applying this

π π

=7(-cos ----- - i sin ------)

6 6

√3 1

=7(- ------ - i -------)

2 2

7√3 7

= - ------ - -------- i

2 2

7√3 7

here x = - ------- and y= - -------

2 2

Hope it helps you

Thanks