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    Value of Sin 3pi/2

    cuemath.com/trigonometry/sin-3pi-2/

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    Basic Information
    • The value of sin 3pi/2 is -1
    • In degrees, it equals sin(270°)
    • Since 3pi/2 lies on the negative y-axis, sin 3pi/2 equals -1
    Methods of Calculation
    • Using unit circle: angle 3pi/2 with positive x-axis
    • Using trigonometric identities: sin(pi - 3pi/2) = sin(-pi/2)
    • Using trigonometric identities: -sin(pi + 3pi/2) = -sin 5pi/2
    Alternative Expressions
    • Can be written as ±√(1-cos²(3pi/2))
    • Can be expressed as ±tan(3pi/2)/√(1 + tan²(3pi/2))
    • Can be expressed as 1/√(1 + cot²(3pi/2))
    • Can be expressed as ±√(sec²(3pi/2) - 1)/sec(3pi/2)
    • Can be expressed as 1/cosec(3pi/2)

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