Respuesta :
Answer:
Well, I guess you could use a special representation of the function through a sum of terms, also known as Taylor Series.
It is, basically, what happens in your pocket calculator when you evaluate, for example,
sin
(
30
°
)
.
Your calculator does this:
sin
(
θ
)
=
θ
−
θ
3
3
!
+
θ
5
5
!
−
...
where
θ
must be in RADIANS.
In theory you should add infinite terms but, depending upon the accuracy required, you can normally stop at three terms.
In our case we have:
θ
=
π
6
=
3.14
6
=
0.523
and:
sin
(
π
6
)
=
sin
(
0.523
)
=
0.523
−
0.024
+
3.26
⋅
10
−
4
−
...
=
0.499
≈
0.5
Answer:
sin135° = [tex]\frac{1}{\sqrt{2} }[/tex]
Step-by-step explanation:
135° is in the second quadrant where sin x ° > 0
sin135°
= sin(180 - 135)°
= sin45°
= [tex]\frac{1}{\sqrt{2} }[/tex] = [tex]\frac{\sqrt{2} }{2}[/tex] ← exact value
