t = 3π/2
Let's transform 3π/2 on degree
We know, π = 180° on trigonometric
Then,
3π / 2 = 3.(180°)/2
3π / 2 = 270°
Now let's evaluate.
Sin(270°) = Sin(-90°)
As Sin(-x) = - Sin(x)
Then,
= - Sin(90°)
= - 1
It is possible
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2 example:
Csc(270°) = ?
As Csc(x) = 1 / Sin(x)
Then,
Csc(270°) = 1 / Sin(270°)
= 1 / - 1
= -1
It is possible
_____________
3 example:
Cos(270°) = Cos(-90°)
As Cos( -x) = Cos(x)
Then,
= Cos(90°)
= 0
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4 example:
Sec(270°) = ?
As Sec(x) = 1 / Cos(x)
Then,
Sec(270°) = 1 / Cos(270°)
= 1 / 0
It isn't possible division by zero
______________
5 example
Tg(270°) = ?
As Tg(x) = Sin(x) / Cos(x)
Then,
Tg(270°) = Sin(270°) / Cos(270°)
= - 1 / 0
It isn't possible too.
______________
Now the six and last example
Cot (270°) = ?
As Cot(x) = 1 / tg(x)
Cotg (x) = Cos(x) / Sin(x)
Then,
Cot(270°) = Cos(270°) / Sin(270°)
= 0 / -1
= 0
It is possible
