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trig

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establish identity

5csc^2theta-3cot^2theta=2csc^2theta+3

  • trig - ,

    5 csc^2 Ø - 3cot^2 Ø = 2csc^2 Ø + 3

    LS = 5/sin^2 Ø - 3cos^2 Ø/sin^2 Ø
    = (5 - 3cos^2 Ø)/sin^2 Ø
    = (5 - 3(1 - sin^2 Ø) )/sin^2 Ø
    = ( 2 + 3sin^2 Ø)/sin^2 Ø
    = 2/sin^2 Ø + 3sin^2 Ø/sin^2 Ø
    = 2csc^2 Ø + 3
    = RS

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