Question

Find the principal and general solution of sinx=- -\3/2

Answer 1

Answer:

ANSWER IS BELOW.

Step-by-step explanation:

What is the general solution of sinx= (sqrt) ^3/2?

So , you are given that

sin(x)=(√32).

So , what is the principal solution ?

We know that sin(60°)=(√32).

So , the principal solution is x = 60° .

x = 60° can be represented as x=π3radians.

Thus the principal solution is x=π3radians.

Now the general solution for

sin x = y= sin z is z=nπ+(−1)nx.

Thus the general solution for

sin(x)=(√32) is

x=nπ+(−1)nπ3.