Express the complex number in trigonometric form.

-6 + 6\sqrt(3) i

Step-by-step explanation:

The rectangular form of a complex number is expressed as z = x+iy

where the modulus |r| = and the argument

In polar form, x =

Given the complex number, . To express in trigonometric form, we need to get the modulus and argument of the complex number.

For the argument;

Since tan is negative in the 2nd and 4th quadrant, in the 2nd quadrant,

z = 12(cos120°+isin120°)

This gives the required expression.

b is the answer that makes most sense

step-by-step explanation:

answer

a,b, and d

explanation

a reflection angle is more than

but less than;

an angle that measures

is a reflex angle.(true)

an angle that measures less than

is acute.(true)

provided we are considering angles greater or equal to zero.

an acute angle lies in the range.

an obtuse angle is less than 180° but more than 90°

an angle that measures 300° is obtuse (false)

an angle that measures 65° is an acute angle.(true)