(a) find an angle between 0° and 360° that is coterminal with – 120°.(b) find an angle between 0 and 2π that is coterminal with 15π/4give exact values for your answers.

a)  

b)

Step-by-step explanation:

Coterminal angles have the same terminal sides in standard position.

a) To find an angle between and , that is coterminal with , we keep adding multiples of until we get an angle within the specified range.

 .

In some cases you would have to subtract in order to get the specified angle. That is when the angle given is positive.

b) This time we want to find an that coterminal with radians.

We keep subtracting multiples of until we get an angle measure within the specified range.

you forgot an image

step-by-step explanation:

the simplified form is

step-by-step explanation:

we want to simplify the expression,

let us change the middle bar to a normal division sign to obtain,

we multiply the first fraction by the reciprocal of the second fraction to obtain,

we factor to obtain,

we cancel the common factors to get,

we simplify to get,

the correct answer is b