Question

Use the steps to determine the exact value of

sin(−135)°.

Identify the reference angle, θ.

θ =
°

Answer 1

The reference angle will be
`{\theta}=45^(\circ)`

Explanation:

To solve for
`sin(-135)`, the reference angle can be obtained as follows:

=
`sin(-135)`

=
`- sin(135)` (Because
`sin(-{\theta})=-sin{\theta}`)

Thus, the above equation can be written as:

=
`-sin(180-135)`

=
`-sin45`

Hence , the reference angle will be
`{\theta}=45^(\circ)`

Answer 2

To solve for sin(-135), the reference angle will be obtained as follow:
sin(-135)
=-sin(135)
=-sin(180-135)
=-sin 45
hence
the reference angle θ=45°