Question

Which point on the unit circle corresponds to −π ?

(1, 0)

(0, −1)

(0, 1)

(−1, 0)

Answer 1

`(-1,0)`

Explanation:

we know that

In the unit circle

The point
`(1,0)` correspond to
`0`

The point
`(0,1)` correspond to
`\pi/2` or
`-3\pi/2`

The point
`(-1,0)` correspond to
`\pi` or
`-\pi`

The point
`(0,-1)` correspond to
`3\pi/2` or
`-\pi/2`

therefore

`-\pi` -----> correspond to the point
`(-1,0)`

Answer 2

On the unit circle:
( 1, 0 ) corresponds to 0.
( 0, 1 ) corresponds to π/2
( -1, 0 ) corresponds to π
( 0, - 1 ) corresponds to 3π/2
- π = π
Answer:
D ) ( - 1 , 0 )