Question

Which angles are coterminal with −6π5 ? Select each correct answer. 14π/5 −16π/5 −π/5 −11π/5

Answer 1

Can confirm answer is 14π/5 and −16π/5

Explanation:

took the test

Answer 2

ANSWER


`- (16 \pi)/(5) \: and \: (14\pi)/(5)`


EXPLANATION

Coterminal angles are angles in standard position that have the same terminal side.


To find an angle in standard position that is coterminal with


`- (6 \pi)/(5)`

We add or subtract multiples of

`2 \pi`

The first addition gives,


`- (6 \pi)/(5) + 2 \pi = (4 \pi)/(5)`


We add the second multiple to get,


`- (6 \pi)/(5) +2( 2 \pi )= (14 \pi)/(5)`

Since this is the maximum value among the options, we end the addition here.


Let us now subtract the first multiple to get,



`- (6 \pi)/(5) - 2 \pi = - (16 \pi)/(5)`


We end the subtraction here because this is the least value among the options.


Therefore the angles that are coterminal with

`- (6 \pi)/(5)`
are


`- (16 \pi)/(5) \: and \: (14\pi)/(5)`