Sin 3pi/2 value

What is the Value of Sin 3pi/2?

In this article we will discuss how to find the value of sin 3pi/2 or sin 3π/2. We know that Sin 3π/2 is equal to -1 (minus 1) and it can be written in terms of degrees as Sin 270°. We know that Pi π is equal to 180° so sin ((3π/2) = Sin 3*180°/2) which is equal to sin (270°).

There are so many questions regarding this sin 3π/2 value ? What is sin3π2? How do you evaluate sin 3π/2 ? The value of sin 3pi/2 is -1. Sin 3π/2 can be expressed as angle (3π/2) in degrees (270°).

• Sin 3π/2: -1
• Inverse Sin (-3π/2): 1
• In degrees Sin 3π/2 : sin (270°)

Proof of sin (3π/2) = -1

Using degree to radian conversion or radian to degree conversion, Theta θ in degrees = Theta θ in radians × (180°/pi) So we can calculate that 3pi/2 radians equal to 3pi/2 × (180°/pi) = 270°

• 3pi/2 radians = 3pi/2 × (180°/pi) = 270° or 270 degrees
• So sin 3pi/2 = sin 3π/2 = sin(270°) = -1

How do you evaluate sin(3π/2)?

• In standard position, an angle of 3π /2 has a hypotenuse which falls along the negative Y-axis. If a hypotenuse of unit length is swung towards the negative Y-axis, the side opposite the origin approaches -1.

• We know that π = 180 degrees
• 3π/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.

Please follow this link of Explanation of Mathematics formula – Click

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