How do you evaluate sin((3pi)/2)?

We have to find the value of sin (3∏/2)

Solution

sin (3∏/2)

We know that ∏ = 180 degrees

3∏/2 = (3 X 180)/2 = 270

sin 270 can be found using 90 degrees

sin 270= sin(3×90 +0 )

sin(270)=sin(3×90 +0 )

We know that

sin (90° + θ) = cos θ

sin(270)=−cos0

sin(270)=−1.

Hence, sin(270)=−1.

Answer

The value of sin 270= sin (3∏/2)= -1

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