Answer:
[tex]\frac{1}{\sqrt{2} }[/tex]
Step-by-step explanation:
Note that
sin135° = sin(180 - 135)° = sin45° = [tex]\frac{1}{\sqrt{2} }[/tex] = [tex]\frac{\sqrt{2} }{2}[/tex]
Hi!
To solve this, first let's decide what quadrant the 135 degrees lies in. Starting in quadrant one, it would end up landing in quadrant 2.
Coordinates:
(cos, sin)
In quadrant 2, the y value (sin) as a coordinate would be positive, therefore our final answer should be positive.
180 - 135 = 45
Therefore our reference angle will be sin45.
We should know that sin45 is equal to [tex]\cfrac{\sqrt{2} }{2}[/tex]
Now, remember that our final answer should be positive. We don't have to change this because it's already positive, so your final answer is:
[tex]\cfrac{\sqrt{2} }{2}[/tex]
